Constructs monomers and assemblies and their use, and digital monomers and assemblies and their use
Patent Information
- Application Number
- CN202511409116.5
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-09-29
- Publication Date
- 2026-10-30
AI Technical Summary
[0378]本发明的所述的构造体单体的有益效果是,所述的构造体单体依托各单体的至少一个主体上的两个或两个以上的静轴的空间异面,交叉限位的连接关系,将起连接件作用的构造体单体设置为空间矩阵的各相关空间矩阵中的两线或更多线的线线之间的交汇节点,或线面交汇的节点,或面面交汇的节点,从而可以将多种被连接的构造体单体连成空间矩阵,所述的空间矩阵既有三垂直关系的直角座标系中的节点式的空间矩阵[所述的三垂直关系的直角座标系中的节式的空间矩阵,是在正六面体为基础单元的空间矩阵],也有非三垂直关系的空间矩阵的各节点,如全为60°相关空间异面直线夹角的空间矩阵[所述的全为60°相关空间异面直线夹角的空间矩阵是以正八面体和正四面体为基础单元的空间矩阵],或以其它非正六面体式的矩阵,非正八面体式的矩阵,非正四面体式的矩阵等,以及各种不同矩阵之间的交汇,如正六面体与正十二面体的交汇连接的次级空间矩阵,或,如,如正六面体与正二十面体的交汇连接的次级空间矩阵等等,以此类各种空间矩阵和次级空间矩阵的复杂多变的空间构造连接方式,其中最广泛应用的,将会最常见应用的领域,将是应用于作为一种积木和以积木方式为特征的标准化连接件,
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Abstract
Description
Technical Field
[0001] This invention belongs to the technical field of building block toys and spatial structural connectors similar to building blocks, specifically involving individual and combined structural components and their applications, as well as digital individual and combined components and their applications. Background Technology
[0002] The concept of a round heaven and a square earth, along with astronomical and geographical observations, have led China to accumulate a long and systematic system of mathematical knowledge since ancient times. Mathematics, or astronomical and geographical systems, has been a crucial foundation and significant contribution to global mathematical and technological systems throughout history. These systems include mathematics related to philosophy, and mathematical methods for describing the relationship between circles and squares, such as the method of exhaustion. Around 2000 years ago, official and private scientific researchers and mathematicians contributed their efforts, forming a unique and self-contained cultural tradition and research system in China, which has been continuously inherited and developed. Among them, the unique descriptions and standards for measuring the real world based on mathematical calculations and celestial surveying have influenced the world for tens of thousands of years. Countless anonymous folk scientists have also made outstanding achievements that have benefited the world. For example, the mathematical knowledge system in the Yongle Encyclopedia is mostly unknown to the real authors, and there are no records. The Yongle Encyclopedia itself has not been completely preserved to this day. The parts of the Yongle Encyclopedia that exist are scattered in libraries around the world.
[0003] Since ancient times, Chinese governments throughout history have had specialized departments that conducted precise surveys and calculations of global astronomy and geography, systematically recording these findings. This investment in these areas led to a unique accumulation and inheritance of mathematical and technological knowledge, with corresponding excellent traditions and calculation habits passed down to this day, such as the abacus. These surveys and calculations were based on the principle of a round heaven and a square earth, creating a unique Chinese mathematical calculation system. Official researchers and amateur scientists throughout history, utilizing this traditional mathematical foundation, continuously calculated and accumulated knowledge, forming China's brilliant mathematical knowledge system and cultural tradition. Within this mathematical knowledge system, metaphysical connections and unifications arose between mathematics and science and technology, mathematics and philosophy, and mathematics and music. Furthermore, the mathematical constant pi (π) was accurately calculated to six or seven decimal places, as shown in the following formula.
[0004]
[0005] The calculation employed three mathematical methods: the method of finding the tangent of a circle's base, the method of stacking and finding the tangent of a circle's base, and the method of awls and exhaustions. Using these methods, the formula for calculating pi (π) could be derived, yielding the corresponding result. It wasn't until around 1900 that mathematicians such as Gauss, Ramanujan, Fourier, Basel, Taylor, and Leibniz developed new methods for calculating pi, such as:
[0006] The "dream formula" for calculating pi by the modern Indian mathematician Ramanujan:
[0007] as well as,
[0008] In Ramanujan's formula, 9801 is 99*99, so it is also represented as...
[0009] In addition, Ramanujan also has a "dream formula" related to pi and the golden ratio:
[0010] Basel:
[0011] Taylor's formula: Euler's identity: e -iπ +1 = 0
[0012] Also related to the golden ratio is the general term of the Fibonacci sequence:
[0013] That is
[0014] The changes in spatial structure are essentially changes between circles and squares. The most crucial factor is the value of pi (π), followed by the golden ratio (H), a fractal constant, and another fractal constant. How can these data be unified to express spatial transformation relationships? And how can they be combined from the perspective of three-dimensional geometric construction in space and reduced to the calculation and transformation of graphics on a two-dimensional plane?
[0015] One of the calculations involves the connection relationship:
[0016] arctan(2) = 2*arctan(H), meaning that the radian angle corresponding to a tangent value of 2 in the period (0,π] is twice the radian angle corresponding to a tangent value of the golden ratio. In its spatial variation, a rhombic dodecahedron acts as an intermediary between the regular hexahedron and the regular octahedron. The interior angles of the 12 faces of the rhombic dodecahedron, two of which are... and
[0017] Among them It is a fractal constant The cube value,
[0018] as well as, as well as
[0019] In its spatial variation, there is also a rhombic icosahedron that serves as an intermediary between the regular dodecahedron and the regular icosahedron. The interior angles of the 30 faces of the rhombic icosahedron are two of the interior angles, which are arctan(2) rad and arctan(-2) rad, respectively.
[0020] arctan(2)=2*arctan(H),arctan(-2)=2*arctan(1 / H),
[0021] Furthermore, the tangent values of angles such as π / 10, π / 5, 3π / 10, 2π / 5, 3π / 5, 7π / 10, 4π / 5, and 9π / 10 are all related to the golden ratio.
[0022] The tangent value of 18°, which is the tangent value of π / 10, is... Among them, there are,
[0023] have
[0024]
[0025] have
[0026] Other And, tan(36°) = tan(2*18°),
[0027]
[0028] Other And, tan(72°) = tan(2*36°),
[0029] tan(54°)=tan(3*18°), and tan(72°)*tan(18°)=1, tan(36°)*tan(54°)=1,
[0030]
[0031] Therefore, the tangent value can also be expressed as:
[0032] tan(18°)=tan(π / 10), tan(36°)=tan(π / 5), tan(54°)=tan(3π / 10),
[0033] tan(72°)=tan(2π / 5), tan(108°)=tan(3π / 5)=-tan(2π / 5),
[0034] tan(126°)=tan(7π / 10)=tan(3π / 10), tan(144°)=tan(4π / 5)=-tan(π / 5),
[0035] an(162°)=tan(9π / 10)=-tan(π / 10),
[0036]
[0037] The golden ratio is an important fractal constant, and research on the golden ratio has a very long history.
[0038] That is to say Other
[0039] It is associated with the natural numbers 1, 2, and 3:
[0040] Among these related constants, there are corresponding radian angle values in the arctangent function expression, such as...
[0041] in The angle value is close to the latitude of the Tropic of Cancer and Tropic of Capricorn.
[0042] Emperor Zhu Zaiyu of the Ming Dynasty used an abacus to calculate... The precise value is rounded to five or six decimal places, and this is used to calculate the twelve-tone equal temperament, which still has an influence today. The base numbers related to the twelve-tone equal temperament include...
[0043] In the fields of building structures, folk daily utensils, and production and construction, wood is also used to make various high-value utensils and mechanical equipment. In Chinese character usage, the term for "machinery" is entirely expressed with characters related to wood. In various aspects such as tools and equipment in daily life and daily work, a large number of cultural customs, daily applications, production applications, and the like have been passed down to this day, too numerous to enumerate. These have formed a large number of valuable scientific and technological theories and mathematical knowledge systems over thousands of years, including research on mortise and tenon structures. Mortise and tenon structures have formed a large number of traditional construction patterns, which are typical patterns of unique Chinese building structures. The related architectures have been passed down for thousands of years, spread to the present day, and are world-renowned. In the mid-Ming Dynasty, a series of comprehensive scientific and technological works, mathematical classics and the like, such as the Yongle Encyclopedia, emerged.
[0044] The concept of "heaven is round and earth is square" dictates that the relationship between circles and squares must be calculated with corresponding relationships at the very beginning. Circles and squares are the foundation of all calculations; without compasses and set squares, squares and circles cannot be formed. Among these, with the goal of calculating the pi π, various mathematical methods such as the method of cutting a circle are utilized, which accurately realize the calculation expression of pi π, being concise and perfect. It can be seen that a series of radian representation methods for expressing angles have a series of angle values, and these corresponding angle values are associated with are closely related. They are listed herein, and it is specified that the corresponding angle value of the radian angle expressed by the corresponding arctangent expression of the present invention is within the range of 0 to 2π. Except for the three values of 0, 2π and π, all other values are in one-to-one correspondence, wherein the tangent value corresponding to π is +∞ and -∞, and the tangent values corresponding to 2π and π are 0, which is hereby specified. The correspondence between angle system angle expressions and radian system angle expressions is listed as follows, where arctan(*)rad corresponds to the angle system ° as follows:
[0045] Wherein, when the tangent value is 1 / 4, the angle value is 14.0362°; the complementary angle is 75.9638°, and the tangent value of 75.9638° is exactly 4. The tangent value is -1 / 4;
[0046] The tangent value is
[0047] The tangent value is -1 / 2;
[0048] The tangent value is arctan(-1)rad == 135°;
[0049] The tangent value The tangent value is -2;
[0050] The tangent value is
[0051] The tangent value is -4;
[0052] arctan(1 / 4)rad=14.0362°; arctan(4)rad=75.9638°, the tangent is 4.
[0053]
[0054] arctan(1)rad=45°;
[0055] Tangent value arctan2 rad = 63.4349°; tangent value is 2;
[0056] Tangent value arctan4 rad = 75.9638°
[0057] Among them, the tangent value is The sum of the tangent values is The two angles are complementary angles, and correspondingly, the tangent value is... The sum of the tangent values is The two angles are supplementary angles, and the tangent value is . The sum of the tangent values is Two angles with a tangent of -2 and 2 are supplementary angles. Two angles with a tangent of -1 / 2 and 1 / 2 are supplementary angles. The sum of the tangent values is The two angles are supplementary angles, and the tangent value is . The sum of the tangent values is The two angles are complementary angles. Among these angle values that express tangency, the corresponding angles are closely related. These corresponding rules have a metaphysical similarity to the rhythm of music expressed by the twelve-tone equal temperament. The representation method in the twelve-tone equal temperament closely links mathematics and music in a metaphysical sense. The combination of angles involved in this series of angle values is also closely related to various line-line relationships, line-plane relationships, and plane-plane relationships in spatial construction.
[0058] The tangent values of various radian angles expressed above, which are the domains of their respective tangent values, are all related to... The result of multiple dimensions, including wait.
[0059] like, It is 4. for That is It is 2. for =1, for It is 1 / 2. for It is 1 / 4.
[0060] In addition, the angles mentioned above also have supplementary angles represented by negative numbers. The corresponding arctangent function expression of the negative number in radians is the supplementary angle of the corresponding positive number angle. For example, arctan(1 / 2) and arctan(-1 / 2) are supplementary angles. Besides the supplementary angles of the negative numbers mentioned above, there are also corresponding relationships such as arctan(2) and arctan(-1 / 2). arctan(1 / 2) is 26.5651°, arctan(-1 / 2) is 153.4349°, arctan(2) is 63.4349°, and arctan(-2) is 116.5651°. Knowing one of these four, the others can be known. Multiple angles can be grouped into a family of angles starting from a single point. Without listing them all, out of the hundred or so angles, there are only two families of angles. These two families are further expressed as angles with a tangent value of... The family of two angles corresponding to the golden ratio H with a tangent value, where the value of the golden ratio H is, And the golden ratio H and There is a corresponding relationship again, namely in, That is, arctan(2), The angle value is 63.4349°, a precise value to four decimal places. That is, the angle value of arctan(H) is 31.7174° or 31.7175°, and arctan(H) and The two are in a double-angle / half-angle relationship.
[0061] The golden ratio H and 2 (or... This connects the two concepts, with the golden ratio H being the most common fractal constant. It is also the most common fractal constant.
[0062] In addition, it should be mentioned that and The arctangent function expressions for these two values represent the corresponding radian angles. And here These are one interior angles of a rhombus-dodecahedron and a rhombus-icosanahedron, respectively. A rhombus-dodecahedron has 12 identical rhombus faces, and the two sets of interior angles are... and A rhombic icosahedron has 30 identical rhombic faces, and two sets of interior angles are given by: and
[0063] The angles expressed by the arctangent function above are all in radians, measured in rad.
[0064] These corresponding angles have the following angular correspondence relationship, where... yes Twice the angle value, yes Twice the angle value, and there are also various complementary and complementary relationships mentioned above, such as... and They are complementary and exist. At the same time and The difference between the two angles will be The unit is rad, which is the unit of angle in radians. A radian is equal to 1 radian when the arctangent function of the tangent of an angle is 1, i.e., when arctan(x) = 1. Furthermore, the tangent of 45° is 1, so 45° can be expressed as equivalent to arctan(1) rad, i.e., 45° = arctan(1) rad. A circle is 360°, which corresponds to 2π rad. Therefore, the angle corresponding to 1 radian is [1 / (2π)] * 360°. The angle value of [1 / (2π)]*360° is approximately 57.29578°. However, this is not an absolutely accurate value. Furthermore, due to the common practice of expressing angles in degrees, this invention often needs to express the interchangeable relationship between these two angle systems to illustrate the absolute accuracy of the relative relationship. Therefore, when expressing the equivalent angle in radians, four or three decimal places are often used to precisely correspond to the corresponding radian angle. While there may be a difference of a few ten-thousandths or a few thousandths in the actual numerical value, for the sake of convenience and brevity, and to align with the public's cognitive habits regarding angle expression, the two values will be directly used interchangeably. For example, 70.5288° corresponds to the following expression for a radian angle: because, so For the sake of convenience and brevity, the two will be considered equivalent in this invention. Using the accuracy of angles in the degree system commonly used in public cognitive conventions, angles expressed to a precision of four or three decimal places correspond to the exact values of the corresponding radian system angles in the absolute sense. Since the absolute exact value is an infinite decimal representation, only four or three decimal places are taken to easily achieve the correspondence between precision and accuracy at the same time. For the convenience and conciseness of writing, in the process of description, the unit of the relevant degree system angle, ° and / or the Chinese character "degree", is often omitted; and, for the convenience and conciseness of writing, in the process of description, the unit of the relevant radian system angle, rad and / or "radian", is often omitted.
[0065] For example, arctan(1)rad is exactly 45°, and for the convenience and conciseness of writing, the present invention may also express it as arctan(1)rad=45°, or arctan(1) radian=45 degrees, or arctan(1)rad=45°, or arctan(1)=45°, or arctan(1)rad=45 degrees, or arctan(1) radian=45°, and so on.
[0066] In the text of the present invention, there are nearly a hundred corresponding relationships between various degree system angles and radian system angles expressed in four or three decimal places. Among these angles, there are various pairs of angles whose sum is 90°, or various pairs of angles whose sum is 180°, or various pairs of angles whose difference is 90°, as well as various pairs of angles whose difference is 45°, or various pairs of angles whose difference is 135°, and various pairs of angles whose sum is 45°, or various pairs of angles whose sum is 135°. To concisely express these sum and difference relationships of two angles, the existing conventional public customary relationships of mutually complementary angles (sum to 90°) and mutually supplementary angles (sum to 180°) are directly utilized to derive several new similar expressive relationships as follows. Among them, it is known that if the sum of two angles is 90°, the two angles are mutually complementary and are complementary angles to each other; if the sum of two angles is 180°, the two angles are mutually supplementary and are supplementary angles to each other. It is derived that if the sum of two angles is 45°, the two angles are mutually half-complementary and are half-complementary angles to each other; if the sum of two angles is 135°, the two angles are mutually over-complementary and are over-complementary angles to each other;
[0067] Two angles that are half-complementary angles to each other are correspondingly defined with the English name: half-complementary Angles,
[0068] Two angles that are over-complementary angles to each other are correspondingly defined with the English name: beyond-complementary Angles,
[0069] It is further derived that if the difference between two angles is 90°, there is a larger angle and a smaller angle with a difference of 90°, the larger angle is the complement-rotated angle of the smaller angle, and the smaller angle is the rotated-complement angle of the larger angle, and it is further derived that,
[0070] If the difference between two angles is 45°, then there are two angles, one large and one small. In the case of two angles, the larger angle is half the cofactor of the smaller angle, and the smaller angle is half the cofactor of the larger angle. If the difference between two angles is 135°, then there are two angles, one large and one small. In the case of two angles, the larger angle is the cofactor of the smaller angle, and the smaller angle is the cofactor of the larger angle.
[0071] With the golden ratio and another fractal constant Relatedly, there is another type of data in a metaphysical sense. and in and These are important aspects related to the golden ratio, specifically the H-value of the golden ratio. Further and The relationship is also very obvious, among which there are but that is And from this and from metaphysics we can know, And there is more, In other words, the regular number 5 and as well as These are also important angle-related numbers, which are closely related to the golden ratio H.
[0072] like, It's 18°. These two are completely corresponding. You only need to express the corresponding angle in radians using integers; there's no need to use decimals. For example, 18°. Other related values include 36°, 54°, 72°, 30°, 60°, 15°, 22.5°, etc., which are expressed as integers or exact values with only one decimal place. Besides this method of expression, there are also... It's 18°, and within that, there are also 36°. 54° is
[0073] 72° is The corresponding expression, using the golden ratio, is that it will exist.
[0074] That is, 18°, and, That is, 36°. That is, 54°, and, That is, 72°. Also, there is... yes yes Therefore, 18° can still be expressed as... Correspondingly, 36° yes, 72°, yes.
[0075] yes yes Related to this is, yes as well as, yes so, It has the following relationship with the numbers 1, 2, and 3:
[0076] and At the same time in expressing and When dealing with a related radian angle, there will be and They are 65.9052° and 24.0948° respectively.
[0077] Based on mathematical calculations, the following relationship exists:
[0078] The relationship is -4 / 3 = 2 * 2 / (1 - 2) 2 ); the result will be arctan(-4 / 3)=arctan[2*2 / (1-2 2 ]], where arctan(-4 / 3) is the supplementary angle of an interior angle of a triangle related to the famous Pythagorean theorem of 3-4-5. That is, the supplementary angle of arctan(-4 / 3) is the interior angle opposite the side containing the fourth leg of the triangle. arctan(-4 / 3)=arctan[2*2 / (1-2 2 )], and because arctan[2*2 / (1-2 2 )]=2*arctan[2] Therefore, arctan(-4 / 3) is twice the angle of arctan[2], or simply a double angle. arctan(-4 / 3) is a double angle of arctan[2]. Furthermore, there will also be 2*[2*H / (1-H 2) )] / {1-[2*H / (1-H 2) )] 2 Therefore, arctan[2*2 / (1-2)] 2 )]=126.8696°, that is, arctan(-4 / 3)=126.8696°, so the related angle of H is a quadruple angle, arctan(-4 / 3)=4*arctan[H], arctan(-4 / 3) is a quadruple angle of arctan[H], which is simply called a double angle. Correspondingly, arctan[2] is a half angle of arctan(-4 / 3), and arctan[H] is a half-half angle of arctan(-4 / 3).
[0079] Half-angle and double-angle are corresponding to each other, as are half-half-angle and double-double-angle.
[0080] The angle value of arctan(4 / 3) is 53.1304°, and the angle value of arctan(3 / 4) is 36.8696°.
[0081] Furthermore, half of arctan(3 / 4) is arctan(1 / 3), the angle value of arctan(1 / 3) is 18.4348°, arctan(3) is 71.5651°, and arctan(1 / 2) is 26.5651°. Therefore, the angle difference between arctan(1 / 2) and arctan(3) is 45°. The corresponding angle of arctan(2) is 63.4348°. Thus, the angle difference between arctan(2) and arctan(1 / 3) is 45°. Mathematically, 3, 1 / 3, 2, and 1 / 2 have special connections, and correspondingly, they can all be related to the golden ratio H. Moreover, they are also related to the famous Pythagorean theorem triangle. 3, 1 / 3, 2, and 1 / 2 can be related to the golden ratio H, as well as to 3 / 4 and 4 / 3, through these angles. Furthermore, the golden ratio H is related to the ratio of two angles to one and a half, arctan(2) = 2*arctan(H), and besides, Therefore, there is It is associated with the golden ratio H, where the golden ratio H is related to... There are multiple connections, therefore, again, there are and They are also interconnected; the transformations between these angles always have a related perpendicular relationship: 90°, 45°, 30°, and 60°, where 45° is precisely arctan(1), and 60° is precisely arctan(1). Therefore there is Further with and If we consider the relationships between these numbers, then 1, 2, 3, 4, 5, 8, and 9 are all related. The square root of each of these related natural values corresponds to the arctangent function expression, which represents the radian angle. These are the related angles in the process of mutual transformation and conversion of regular polyhedra. The combination of these related angles enables various line-to-line, line-to-plane, and plane-to-plane relationships between regular polyhedra to achieve various mutual transformations and deformations. It is the combination of these related angles that forms the various special and symmetrical relationships of regular polyhedra.
[0082] The correspondence between radians and degrees in this invention, and the corresponding explanations:
[0083] A circle has 360 degrees, also represented as 360°. This is the way to express angles in degrees, with a numerical value of 360 and a unit of °. ° and degree are interchangeable; one is a symbolic representation, and the other is the Chinese character for degree. ° is a concise symbolic representation of degree. In addition, the 360° of a circle can also be represented in radians. In radians, a full circle is 2π rad. Here, rad is the unit symbol for radians. In this invention, rad can also be directly and interchangeably expressed with radians. The interchangeable use of the Chinese characters for radians and rad is for the convenience and concise explanation of the related angles and their numerical meanings. Radius is the unit of angle in radians, and rad, as a symbol, represents the unit of angle in radians, i.e., rad, which is radians. 1 rad is 1 radian. Radius and radians are synonymous in mathematical expression. This expression also indicates that a circle's circumference is 360° = 2π rad. For the sake of convenience and brevity, the unit symbol can be omitted in this invention, but the meaning remains the same. For example, 360 = 2π rad, or 360° = 2π, or 360 = 2π are all equivalent expressions of angles in degrees and radians. Specifically, the angle value in degrees ranges from 0 to 360°, and in radians it ranges from 0 rad to 2π rad. Degrees and radians have the same meaning, both expressing the angle value itself.
[0084] In addition to using 2π to represent one revolution, there are other possible expressions for radian angles. In radian degrees, there are periods of [0, π / 2] and [π / 2, π]. [0, π / 2] is the first half-cycle, and [π / 2, π] is the second half-cycle. The tangent values of the angles within each half-cycle of these two angles have corresponding ranges of [0, ∞] and [-∞, 0]. That is, the tangent value corresponding to π / 2 is a limit that can be expressed as ∞ and -∞. A 360° circle can be represented by two such periods: [0, π / 2] and [π / 2, π] as one period, and two additional half-cycles: [π, 3π / 2] and [3π / 2, 2π]. In this invention, we only describe the tangent value of an angle corresponding to [0, π] within the period of [0, π / 2] and [π / 2, π], ranging from [0, ∞] to [-∞, 0]. This means that a tangent function can be expressed as y = f(x) = tan The tangent function (x) has a domain where the angle value x (in radians or degrees) is the domain and the value y (in degrees) is the range. There is a one-to-one correspondence between the domain and the range. The domain of the tangent function is the numerical value of the angle. The range of the radian angle in the domain is from 0 rad to π / 2 rad, and the range of the other half-cycle is from π / 2 rad to π rad. For the tangent function, the domain and range are one-to-one (except for the tangent value of 0, which corresponds to 0 and π, and the tangent value of π / 2 rad, which corresponds to -∞ and ∞). For other angles, the tangent values are one-to-one. The range of the tangent function from [π / 2, π] and [0, π / 2] is [-∞, to 0] and [0, to ∞]. In other words, all rational numbers within the range [-∞, to ∞] can represent the range of the tangent function for angle values.
[0085] By taking the inverse value of the tangent function, we can obtain the inverse trigonometric function expression. One inverse trigonometric function expression is y = f(x) = arctan(x). In this inverse trigonometric function expression, we will only discuss one type, the arctangent trigonometric function expression, where the domain is [-∞, 0] and [0, ∞], and the corresponding range is in terms of angles, [π / 2, π] and [0, π / 2]. All ranges and domains are in one-to-one correspondence. The range is in angle values, where the angles are from π / 2 rad to π rad and from 0 rad to π / 2 rad, each representing half of the domain segment and the range segment. The angle expressed in radians corresponds one-to-one with the tangent value of the radian angle. In this expression of the angle of a half-circle, the two periods of the two half-circles are the angles in the range [0, π / 2] and the tangent value in the range [0, ∞], and the angles in the range [π / 2, π] and the tangent value in the range [-∞, 0]. Therefore, in this invention, the corresponding radian angles expressed by the arctangent trigonometric function are used to directly and one-to-one express the angles in the half-circle period from [0, π].
[0086] Among them, 360° = 2π rad, corresponding to 180° = π rad, tan(180°) = 0, tan(π rad) = 0, tan(90°) = ∞ and -∞, tan(π / 2 rad) = ∞, which is also -∞. tan(45°) = 1, tan(π / 4 rad) = 1, corresponding to the arctangent trigonometric function expressions in radians. Correspondingly, we have arctan(1) rad = π / 4 rad, which means we also have arctan(1) rad = 45°. Here we can express that arctan(1) = π / 4, and arctan(1) and 45° are in one-to-one correspondence. The range of the arctangent trigonometric function in radians corresponds to the angle values in the radian system, and the angle values in the radian system are in one-to-one correspondence.
[0087] 360° = 2πrad, arctan(1) and 45°.
[0088] In the half-cycle of a semi-circle from 0° to 90°, that is, in the half-cycle of a semi-circle expressed in radians from 0 to π / 2, the corresponding radian angle values can be expressed as arctan(0) to arctan(∞). Furthermore, in the half-cycle of a semi-circle from 90° to 180°, that is, in the half-cycle of a semi-circle expressed in radians from π / 2 to π, the corresponding radian angle values can be expressed as arctan(∞) to arctan(0). In this invention, the angles from arctan(-∞) to arctan(0) correspond only to angles from 90° to 180° and are no longer represented as a series of angle values over N cycles. In this invention, the angles from arctan(0) to arctan(∞) correspond only to angles from 0° to 90° and are no longer represented as a series of angle values over N cycles.
[0089] In mathematics, a circle has 360°, and 360° = 2π rad. Half an angle of 360° is 180°, and the corresponding half angle of 2π rad is π rad. Similarly, half an angle of 180° is 90°, half an angle of 90° is 45°, and half an angle of 45° is 22.5°. 90° can be represented as arctan(∞), and the radian expression for 45° is arctan(1). Here, 22.5° is half an angle of 45°, 22.5° is half a half angle of 90°, 45° is a multiple of 22.5°, and 90° is a multiple of 22.5°. The radian expression for 22.5° is... That is, 22.5°, which is π / 8 rad. There is a ratio between the two. In mathematical formulas, there is a tangent relationship between half-angles and double-angles.
[0090] tan(2*X)=2*tan(X) / [1-tan(X)*tan(X)]. This is the double-angle formula.
[0091] Solve for X, arctan[tan(X)] = 0.5*arctan[tan(2X)].
[0092] As can be seen, according to the half-angle formula (that is, the double-angle formula), solving for tan[X], we know that:
[0093]
[0094] The relationship between half-angles and double-angles in angle expression is as follows:
[0095]
[0096] When X = 22.5°, which is π / 8 rad, tan(X) can be obtained by using the value of tan(2X) = 1.
[0097] The expression for an angle in radians is:
[0098] Half of an angle whose tangent is 1 is, Similarly, it will also be able to solve for the angle values of some half-angles, such as:
[0099] The half angle of an angle whose tangent is 2 is,
[0100] The half angle of an angle with a tangent of 3 is,
[0101] Since arctan(H) = 31.7175°, we know that arctan(2) = 63.4349°.
[0102] In addition, there is also... According to the double-angle formula, we also have: arctan(2)=2*arctan(H), arctan(-4 / 3)=2*arctan(2), arctan(-3 / 4)=2*arctan(3), arctan(4 / 3)=2*arctan(1 / 2), arctan(3 / 4)=2*arctan(1 / 3), arctan(-4 / 3)=4*arctan(H),
[0103] arctan(-2)=2*arctan(1 / H), arctan(3 / 4)=2*arctan(1 / 3),
[0104] by An arctangent trigonometric function expression for a given value will yield radian angles. The corresponding angle is 48.1897°. Similarly, there will also be... by An arctangent trigonometric function expression for a given value will have the following radian angles:
[0105] Among them, the sum of two angles is 90°, which are called complementary angles, and the product of the tangents of two complementary angles is 1.
[0106] arctan(3 / 4)+arctan(4 / 3)=π / 2, tan[arctan(3 / 4)]*tan[arctan(4 / 3)]=1,
[0107] arctan(-3 / 4)+arctan(3 / 4)=π, arctan(-4 / 3)+arctan(4 / 3)=π,
[0108] arctan(-3 / 4)+arctan(-4 / 3)=3π / 2, 0.5*arctan(-3 / 4)+0.5*arctan(-4 / 3)=3π / 4,
[0109] According to the half-width formula,
[0110] Furthermore, it can be known that there is...
[0111] In addition,
[0112]
[0113] Corresponding to 3, and metaphysically corresponding to 2, there will also be...
[0114]
[0115] In addition,
[0116]
[0117]
[0118] Based on metaphysical calculations and the half-angle formula, 0.5*arctan(3) is... Correspondingly, the four numbers 0.5*arctan(-1 / 3), 0.5*arctan(-3), 0.5*arctan(1 / 3), and 0.5*arctan(3) are all integers related to the common inequality of 0.5*arctan(-1 / 3). and as well as, Related numbers, That is That is to say, Similarly,
[0119] 0.5*arctan(2) is Correspondingly, the four numbers 0.5*arctan(-1 / 2), 0.5*arctan(-2), 0.5*arctan(1 / 2), and 0.5*arctan(2) are all integers related to the common inequality. and as well as, Related numbers, That is That is to say,
[0120] Based on metaphysical derivations and the half-angle formula,
[0121] 0.5*arctan(3) is 0.5*arctan(2) is There will be more,
[0122] Because the reciprocal of 1 is 1, therefore,
[0123]
[0124] Again, based on the deductions of metaphysics and the half-angle formula, and according to the previous... It is known that regarding Some angles of the arctangent trigonometric function expression will have,
[0125]
[0126] Again, based on the deductions of metaphysics and the half-angle formula, and according to the previous... (That is, 2), (that is) ), (That is, 3), some angles of arctangent trigonometric function expression, and further...
[0127]
[0128] That is
[0129]
[0130] That is
[0131]
[0132] That is
[0133] There will be more to come.
[0134]
[0135] Based on metaphysical calculations and half-width formulas, further...
[0136] Assuming X1 and X2 are rational numbers and X1, X2, X1 / X2, and X2 / X1 are all positive, we can conclude that...
[0137] arctan(X1 / X2)+arctan(X2 / X1)=π / 2,
[0138]
[0139] like
[0140] Since arctan(X1 / X2) + arctan(X2 / X1) = π / 2, we know that the sum of the two radian angles corresponding to the arctangent function expressions of two reciprocals of rational numbers, X1 / X2 and X2 / X1, is π / 2.
[0141] as well as, and Furthermore, it can be seen that the sum of the two angles in radians expressed by the corresponding arctangent trigonometric function is π / 4.
[0142] The relationships of mutual complement and complementary, as well as conversion of complement and conversion of complement, and the derived relationships of mutual semi-complement and mutual excess complement, and conversion of semi-complement and conversion of semi-complement, excess complement conversion and conversion of excess complement, etc., are frequently cited in this invention as concise explanations of two-angle relationships. These concepts are further described below.
[0143] Complementary angles are two angles whose sum is 90°. Angles that are complementary are also complementary. Supplementary angles are two angles whose sum is 180°. An angle that is half the angle value is one half the angle value. A double angle is an angle whose angle value is twice the angle value. A half-half angle is an angle whose angle value is half of one half the angle value. A double-double angle is an angle whose angle value is four times the angle value.
[0144] Two angles that are mutually complementary (half-complementary) are two angles whose sum is 45°. In this case, one angle is the half-complementary angle of the other. Two angles that are mutually redundant (excessive) are two angles whose sum is 135°. In this case, one angle is the excess angle of the other.
[0145] Corotation and corotation are a pair of related concepts. If the difference between two angles is 90°, then there are two angles, one larger and one smaller. The larger angle is the corotation angle of the smaller angle, and the smaller angle is the corotation angle of the larger angle. They are related as corotation and corotation.
[0146] And there are similar concepts, such as converting to half-remainder and converting to half-remainder, converting to over-remainder and converting to over-remainder.
[0147] The concepts of semi-reinforcement and semi-reinforcement rotation are complementary. If the difference between two angles is 45°, then there are two angles, one larger and one smaller. The larger angle is the semi-reinforcement rotation angle of the smaller angle, and the smaller angle is the semi-reinforcement rotation angle of the larger angle. They are related as semi-reinforcement rotation and semi-reinforcement rotation.
[0148] "Rotation with co-rotation" and "co-rotation with co-rotation" are a pair of related concepts. If the difference between two angles is 135°, then there are two angles, one large and one small. The large angle is the co-rotation angle of the small angle, and the small angle is the rotation with co-rotation angle of the large angle. They are related as rotation with co-rotation and co-rotation with co-rotation.
[0149] The terms complementary, complementary, half-angle, double-angle, mutually half-complementary, mutually excessively complementary, half-half-angle, double-double-angle, conversion of complementary and complementary conversion, conversion of half-complementary and half-complementary conversion, conversion of excessively complementary and excessively complementary conversion can clearly and concisely explain the various relationships between the corresponding angles.
[0150] Since X1 / X2 and X2 / X1 are reciprocals, the sum of their corresponding original angles is π / 2, therefore we have
[0151] If arctan(X1 / X2) and arctan(X2 / X1) are complementary angles, then the sum of these two angles is 90°.
[0152] Similarly, this invention specifically introduces that two angles summing to 45° are complementary angles, and the corresponding expression is:
[0153] and
[0154] Let X1 and X2 be rational numbers, and X1 / X2 and X2 / X1 be positive numbers.
[0155] and and Given that all numbers are negative, we can conclude that...
[0156] arctan(X1 / X2)+arctan(X2 / X1)=π / 2, arctan(-X1 / X2)+arctan(-X2 / X1)=3π / 2,
[0157] It is also known that there will be.
[0158] so,
[0159] And there will be,
[0160]
[0161] There will also be
[0162]
[0163] in and They are reciprocals of each other.
[0164] as well as and They are also reciprocals of each other.
[0165] Similarly, this invention specifically introduces the concept that two angles whose sum is 135° are complementary angles, as mentioned earlier. To reiterate: two angles whose sum is 90° are complementary. Following similar conventional definitions, two angles whose sum is 135° are defined as complementary, and two angles whose sum is 45° are defined as partially complementary.
[0166] In this invention, the concepts of complementary, semi-complementary, and excessively complementary are used to briefly explain the relationships between angle values, their significance in the interrelationships of polyhedra, the positions of the corresponding angle values of opposite polyhedra, and the specific line-to-line, line-to-plane, and plane-to-plane relationships related to which polyhedra are involved. This invention also introduces the relationships between the differences of two angles related to the sum of two angles, including complementary, supplementary, semi-complementary, and excessively complementary angles, as well as the relationships between angle values when the difference is 90°, 45°, and 135°.
[0167] Two angles whose sum is 135° are complementary angles, and two angles whose sum is 45° are semi-complementary angles.
[0168] Also, related to supplementary angles is that two angles whose sum is 180° are supplementary angles.
[0169] Two angles that are complementary are called complementary angles, also known as complementary angles.
[0170] Two angles are supplementary; they are called complementary angles, or supplementary angles. This concept of semi-complementary angles was introduced and is used in inventions to briefly illustrate the relationship between two angle values.
[0171] Furthermore, this invention introduces the concepts of complementary angles and complementary angles, as well as expressions for the difference between two angles.
[0172] Two angles with a difference of 90° are considered complementary and complementary angles, respectively. Two angles with a difference of 45° are considered half-complementary and half-complementary angles, respectively. Two angles with a difference of 135° are considered over-complementary and over-complementary angles, respectively. Further explanation of these concepts follows:
[0173] In the expression of nearly one hundred angle values in this invention, the relationships between these values largely revolve around the relationships between two angles, such as half angle, half-half angle, double angle, double-double angle, complementary angle, supplementary angle, as well as, rotating complementary angle, complementary rotating angle, half-complementary angle, excessive complementary angle, rotating half-complementary angle, half-complementary rotating angle, rotating excessive complementary angle, excessive complementary rotating angle, etc.
[0174] Among them, a half-angle refers to an angle value that is half the value of a full angle, thus forming a half-angle.
[0175] Among them, a double angle refers to an angle value that is twice the value of a single angle, thus forming a double angle.
[0176] A half-angle is half of a half-angle; a half-angle is one-quarter of the original one-angle value.
[0177] A double-double angle is a double angle of a double angle; a double-double angle is four times the original value of one jiao (1 jiao).
[0178] Complementary angles are those whose sum is 90°; semi-complementary angles are those whose sum is 45°; excessively complementary angles are those whose sum is 135°; supplementary angles are those whose sum is 180°; the relationship between covariant and covariant-covariant is that the difference between the two angles is 90°; they are covariant-covariant and covariant-covariant.
[0179] In a relationship where two angles are related by rotation and corotation, the larger angle is the corotation angle of the smaller angle, and the smaller angle is the rotation corotation angle of the larger angle. A 90° decrease in the larger angle indicates rotation corotation, and a 90° increase in the smaller angle indicates corotation. If the difference between the two angles is 45°, they are related by semi-corotation and rotation semi-corotation. In this case, the larger angle is the semi-corotation angle of the smaller angle, and the smaller angle is the rotation semi-corotation angle of the larger angle. The difference between the larger and smaller angles is 45°. 135°, the relationship between complementary and complementary angles, where the smaller angle increases by 135° is a complementary angle, and the larger angle is the complementary angle of the smaller angle; the larger angle decreases by 135° is a complementary angle, and the smaller angle is the complementary angle of the larger angle. If the two angles are supplementary, then the sum of the two angles is 180°. All these combinations are related to perpendicularity, semi-perpendicularity, or excessive perpendicularity.
[0180] In this invention, regarding the relationship between nearly one hundred various angle values, the range of the tangent function of the corresponding angle value is taken as the relevant... and And related to the golden ratio H, and 1 / H, and H*H, (1 / H)*(1 / H), H*H*H, (1 / H)*(1 / H)*(1 / H), and 2*H*H, 2*(1 / H)*(1 / H), 2*H*H*H, 2*(1 / H)*(1 / H), and 0.5*H*H, 0.5*(1 / H)*(1 / H), 0.5*H*H*H, 0.5*(1 / H)*(1 / H), and 0.25*H*H, 0.25*(1 / H)*(1 / H), 0.25*H*H*H, 0.25*(1 / H)*(1 / H), etc.
[0181] When the actual magnitudes of the corresponding angle values in degrees and radians are equal, where 'tiegu****' is the name of the angle corresponding to a given angle value, its value being both the degree of the angle value corresponding to that name and the radian value corresponding to that angle value, and its tangent value being the domain of the inverse trigonometric function expression when expressed as a degree angle value, corresponding to the radian angle value expressed by the arctangent function expression, as shown in the following one-to-one correspondence. When expressing the degree of the corresponding angle 'tiegu****' (and / or 'tieguZZ****'), accuracy to four digits is represented as the corresponding angle 'tiegu****' (and / or 'tieguZZ****'). The complete and accurate value of the angle is as follows: When the actual magnitudes of the angle values in degrees and radians are equal, where 'tiegu****' is the name of the angle corresponding to a given angle value, its value is the degree of the angle value corresponding to that name in degrees, and also the radian value corresponding to that angle value name in degrees. The tangent of its angle value is the domain of the corresponding inverse trigonometric function expression when expressed as a degree angle value. This corresponds to the radian angle value expressed by the arctangent function expression, as shown in the following correspondence. When expressing the degree of the angle value for each corresponding 'tiegu****', accuracy to four digits represents the complete and accurate value of the corresponding 'tiegu****' angle. The relevant angle representations are as follows:
[0182] The angle tieguZZ1 is 10.8123°. The corresponding arctangent function expression for the angle in radians is:
[0183] The angle tiegu1 is 79.1877°. The corresponding arctangent function expression for the angle in radians is:
[0184] The angle tieguZZ2 is 169.1877°. The corresponding arctangent function expression for the angle in radians is:
[0185] The angle tiegu2 is 100.8123°. The corresponding arctangent function expression for the angle in radians is:
[0186] The angle tieguZZ3 is 13.2826°. The corresponding arctangent function expression for the angle in radians is:
[0187] The angle tiegu3 is 76.7174°. The corresponding arctangent function expression for the angle in radians is:
[0188] The angle tieguZZ4 is 166.7174°. The corresponding arctangent function expression for the angle in radians is:
[0189] The angle tiegu4 is 103.2825°. The corresponding arctangent function expression for the angle in radians is:
[0190] The angle tieguZZ5 is 18.4349°. The corresponding arctangent function expression for the angle in radians is arctan(1 / 3) rad.
[0191] The angle tieguZZ6 is 161.5651°. The corresponding arctangent function expression for the angle in radians is arctan(-1 / 3) rad.
[0192] The angle tiegu5 is 71.5651°. The corresponding arctangent function expression for the angle in radians is arctan(3) rad.
[0193] The angle tiegu6 is 108.4349°. The corresponding arctangent function expression for the angle in radians is arctan(-3) rad.
[0194] The angle tieguZZ16 is 20.9051°. The corresponding arctangent function expression for the angle in radians is:
[0195] The angle tiegu16 is 69.0948°. The corresponding arctangent function expression for the angle in radians is:
[0196] The angle tieguZZ17 is 159.0948°. The corresponding arctangent function expression for the angle in radians is:
[0197] The angle tiegu17 is 110.9051°. The corresponding arctangent function expression for the angle in radians is:
[0198] The angle tieguZZ18 is 24.0949°. The corresponding arctangent function expression for the angle in radians is:
[0199] The angle tiegu18 is 65.9051°. The corresponding arctangent function expression for the angle in radians is:
[0200] The angle tieguZZ19 is 12.0475°. The corresponding arctangent function expression for the angle in radians is:
[0201] The angle tiegu19 is 77.9525°. The corresponding arctangent function expression for the angle in radians is:
[0202] The angle tieguZZ20 is 37.9525°. The corresponding arctangent function expression for the angle in radians is:
[0203] The angle tiegu20 is 67.0475°. The corresponding arctangent function expression for the angle in radians is:
[0204] The angle tieguZZ21 is 155.9051°. The corresponding arctangent function expression for the angle in radians is:
[0205] The angle tiegu21 is 114.0949°. The corresponding arctangent function expression for the angle in radians is:
[0206] The angle tieguZZ22 is 26.5651°. The corresponding arctangent function expression for the angle in radians is arctan(1 / 2) rad.
[0207] The angle tiegu22 is 63.4349°. The corresponding arctangent function expression for the angle in radians is xxarctan(2)rad;
[0208] The angle tieguZZ23 is 153.4349°. The corresponding arctangent function expression for the angle in radians is arctan(-1 / 2) rad.
[0209] The angle tiegu23 is 116.5651°. The corresponding arctangent function expression for the angle in radians is arctan(-2) rad.
[0210] The angle tieguZZ24 is 31.7175°. The corresponding arctangent function expression for the angle in radians is:
[0211] The angle tiegu24 is 58.2825°. The corresponding arctangent function expression for the angle in radians is:
[0212] The angle tieguZZ25 is 148.2825°. The corresponding arctangent function expression for the angle in radians is:
[0213] The angle tiegu25 is 121.7175°. The corresponding arctangent function expression for the angle in radians is:
[0214] The angle tieguZZ26 is 36.8696°. The corresponding arctangent function expression for the angle in radians is arctan(3 / 4) rad.
[0215] The angle tiegu26 is 53.1304°. The corresponding arctangent function expression for the angle in radians is arctan(4 / 3) rad.
[0216] The angle tieguZZ27 is 143.1304°. The corresponding arctangent function expression for the angle in radians is arctan(-3 / 4) rad.
[0217] The angle tiegu27 is 126.8696°. The corresponding arctangent function expression for the angle in radians is arctan(-4 / 3) rad.
[0218] The angle tieguZZ30 is 41.8103°. The corresponding arctangent function expression for the angle in radians is:
[0219] The angle tiegu30 is 48.1897°. The corresponding arctangent function expression for the angle in radians is:
[0220] Angle tieguZZ51 is 0°. The corresponding arctangent function expression for the angle in radians is arctan(0) rad.
[0221] Angle tiegu51 is 180°. The corresponding arctangent function expression for the angle in radians is:
[0222] Angle tieguZZ52 is 45°. The corresponding arctangent function expression for the angle in radians is:
[0223] Angle tiegu52 is 45°. The corresponding arctangent function expression for the angle in radians is:
[0224] Angle tieguZZ53 is 90°. The corresponding arctangent function expression for the angle in radians is:
[0225] Angle tiegu53 is 135°. The corresponding arctangent function expression for the angle in radians is:
[0226] The angle tieguZZ54 is 33.5573°. The corresponding arctangent function expression for the angle in radians is:
[0227] The angle tiegu54 is 56.4427°. The corresponding arctangent function expression for the angle in radians is:
[0228] The angle tieguZZ55146.4427° has the corresponding arctangent function expression in radians as follows:
[0229] The angle tiegu55 is 123.5573°. The corresponding arctangent function expression for the angle in radians is:
[0230] The angle tieguZZ56 is 16.7786°. The corresponding arctangent function expression for the angle in radians is:
[0231] The angle tiegu56 is 28.2213°. The corresponding arctangent function expression for the angle in radians is:
[0232] The angle tieguZZ57 is 73.2213°. The corresponding arctangent function expression for the angle in radians is:
[0233] The angle tiegu57 is 61.7786°. The corresponding arctangent function expression for this angle in radians is:
[0234] The angle tieguZZ58 is 106.7786°. The corresponding arctangent function expression for the angle in radians is:
[0235] The angle tiegu58 is 118.2213°. The corresponding arctangent function expression for the angle in radians is:
[0236] Angle tieguZZ60 is 62.6378°. The arctangent function expression for the corresponding radian angle is:
[0237] The angle tiegu60 is 72.3678°. The corresponding arctangent function expression for the angle in radians is:
[0238] The exact value of angle tieguZZ61 is 152.6372°. The arctangent trigonometric function is expressed as follows:
[0239] The angle tiegu61 is 162.3678°. The corresponding arctangent function expression for the angle in radians is:
[0240] The angle tieguZZ62 is 27.3628°. The arctangent function expression for the corresponding radian angle is:
[0241] The angle tiegu62 is 17.6322°. The corresponding arctangent function expression for the angle in radians is:
[0242] The exact value of angle tieguZZ63 is 107.6322°. The arctangent trigonometric function is expressed as follows:
[0243] Angle tiegu63 is 117.3628°. The arctangent function expression for the corresponding radian angle is:
[0244] The angle tieguZZ64 is 38.9424°. The corresponding arctangent function expression for the angle in radians is:
[0245] The angle tiegu64141.0596° has the following corresponding arctangent function expression in radians:
[0246] The angle tieguZZ65 is 51.0576°. The corresponding arctangent function expression for the angle in radians is:
[0247] The angle tiegu65 is 128.9424°. The corresponding arctangent function expression for the angle in radians is:
[0248] The angle tieguZZ66 is 9.7356. The corresponding arctangent function expression for the angle in radians is:
[0249] The angle tiegu66 is 80.2644°. The corresponding arctangent function expression for the angle in radians is:
[0250] The angle tieguZZ68 is 19.4712°. The corresponding arctangent function expression for the angle in radians is:
[0251] The angle tiegu68 is 70.5288°. The corresponding arctangent function expression for the angle in radians is:
[0252] The angle tieguZZ69 is 109.4712°. The corresponding arctangent function expression for the angle in radians is:
[0253] The angle tiegu69 is 160.5288°. The corresponding arctangent function expression for the angle in radians is:
[0254] The angle tieguZZ70 is 54.7356°. The corresponding arctangent function expression for the angle in radians is:
[0255] The angle tiegu70 is 35.2644°. The corresponding arctangent function expression for the angle in radians is:
[0256] The angle tieguZZ71 is 125.2644°. The corresponding arctangent function expression for the angle in radians is:
[0257] The angle tiegu71 is 144.7356°. The corresponding arctangent function expression for the angle in radians is:
[0258] Angle tieguZZ72 is 18°. The corresponding arctangent function expression for the angle in radians is:
[0259] Angle tiegu72 is 162°. The corresponding arctangent function expression for the angle in radians is:
[0260] Angle tieguZZ73 is 36°. The corresponding arctangent function expression for the angle in radians is:
[0261] Angle tiegu73 is 144°. The corresponding arctangent function expression for the angle in radians is:
[0262] Angle tieguZZ74 is 54°. The corresponding arctangent function expression for the angle in radians is:
[0263] Angle tiegu74 is 126°. The corresponding arctangent function expression for the angle in radians is:
[0264] Angle tieguZZ75 is 72°. The corresponding arctangent function expression for the angle in radians is:
[0265] Angle tiegu75 is 108°. The corresponding arctangent function expression for the angle in radians is:
[0266] The angle tieguZZ76 is 67.5°. The corresponding arctangent function expression for the angle in radians is:
[0267] The angle tiegu76 is 22.5°. The corresponding arctangent function expression for the angle in radians is:
[0268] Angle tieguZZ77 is 112.5°. The corresponding arctangent function expression for the angle in radians is:
[0269] Angle tiegu77 is 157.5°. The corresponding arctangent function expression for this angle in radians is:
[0270] Angle tieguZZ78 is 60°. The corresponding arctangent function expression for the angle in radians is:
[0271] Angle tiegu78 is 30°. The corresponding arctangent function expression for the angle in radians is:
[0272] Angle tieguZZ89 is 75°. The corresponding arctangent function expression for the angle in radians is:
[0273] Angle tiegu89 is 15°. The corresponding arctangent function expression for the angle in radians is:
[0274] The angle tieguZZ91 is 143.1302°. The corresponding arctangent function expression for the angle in radians is arctan(-3 / 4) rad.
[0275] The angle tieguZZ92 is 116.5651°. The corresponding arctangent function expression for the angle in radians is arctan(-2) rad.
[0276] The angle tiegu92 is 126.8698°. The corresponding arctangent function expression for the angle in radians is arctan(-4 / 3) rad.
[0277] The angle tieguZZ93 is 36.8698°. The corresponding arctangent function expression for the angle in radians is arctan(3 / 4) rad.
[0278] The angle tiegu93 is 53.1302°. The corresponding arctangent function expression for the angle in radians is arctan(4 / 3) rad.
[0279] There are also other angles available.
[0280] The angle tieguZZ111 is 37.3774°. This 37.3774° angle value is the difference between 58.2825° and 20.9052°.
[0281] Angle tiegu111 is 52.6226°, and angle tiegu111 is the complementary angle of 37.3774°. Angle tiegu111 and angle tieguZZ111 are complementary. The sum of 79.1877°, 37.3774°, and 63.4349° is 180°, where angle tiegu1 is 79.1877°. The arctangent function expression for angle tiegu1 in radians is...
[0282] The angle measured by tieguZZ111 is 37.3774°, and its tangent is...
[0283] The arctangent function expression for the angle tieguZZ111 in radians is:
[0284] The angle value of the angle tiegu111 is 52.6226°, and the tangent value is
[0285] The arctangent function expression for the angle tiegu111 in radians is:
[0286] Furthermore, the various angle values mentioned above exist in the angles between lines, between lines and planes, or between planes of a regular polyhedron. The various corresponding angles in degrees and radians are in a one-to-one correspondence. Since the degree system cannot be expressed to an infinite number of decimals, in this invention, three or four decimal places are used to directly replace the infinite number of decimals to express the precise corresponding angle values between the two.
[0287] The corresponding relationships among the regular polyhedra formed by the combinations of corresponding angles are explained below:
[0288] The specific regular polyhedra related to the expression space include the regular tetrahedron, regular octahedron, regular hexahedron, regular dodecahedron, regular icosahedron, as well as the rhombic dodecahedron and the rhombic icosahedron.
[0289] All faces of the above-mentioned regular polyhedra are identical, the angles between faces sharing the same edge are equal, and the edge lengths are all equal. This constitutes a regular polyhedron. Among them, there is also the rhombic dodecahedron, where the tangent of the interior angle of the rhombus is... or The tangent of the interior angles of a rhombic icosahedron is _____. or In other words, the interior angles of the rhombus in a rhombic dodecahedron are... and The interior angles of the rhombic icosahedron are and
[0290] In the relationships between regular polyhedra, a regular hexahedron has eight vertices and six faces, while a regular octahedron has six vertices and eight faces. There is a pairwise correspondence between regular hexahedrons and regular octahedrons. A related characteristic is that connecting all the short diagonals of the rhombic faces of a dodecahedron can form the edge framework of a regular octahedron, and connecting all the long diagonals of the rhombic faces of a dodecahedron can form the edge framework of a regular hexahedron. The rhombic dodecahedron can be said to be a transformation medium between the regular octahedron and the regular hexahedron. The four vertices of a regular tetrahedron are half of the pairwise intersections of the eight vertices of a regular hexahedron.
[0291] A regular dodecahedron has twenty vertices and twelve faces, while a regular icosahedron has twelve vertices and twenty faces. In the relationships between regular polyhedra, the short diagonals of all the rhombic faces of a rhombic icosahedron can be connected to form the edge framework of a regular dodecahedron, and the long diagonals of all the rhombic faces of a rhombic icosahedron can be connected to form the edge framework of a regular icosahedron. The rhombic icosahedron can be said to be a transitional medium between the regular dodecahedron and the regular icosahedron.
[0292] A regular dodecahedron has 30 edges. A regular dodecahedron and a regular hexahedron can also be associated. The regular dodecahedron and the regular hexahedron can be distributed in such a way that the three pairs of opposite edges of the regular dodecahedron fall on the six planes of the regular hexahedron, forming a one-to-one correspondence. The included angle between the lines of the two polyhedra can be 18°, 36°, 54°, 72°, etc.
[0293] A regular icosahedron has 30 edges. A regular icosahedron and a regular hexahedron can also be associated. The regular icosahedron and the regular hexahedron can be distributed in such a way that the three pairs of opposite edges of the regular icosahedron fall on the six planes of the regular hexahedron, forming a one-to-one correspondence. The included angle between the lines of the two corresponding polyhedra is 18°, 36°, 54°, 72°, etc.
[0294] A regular polyhedron can be divided into N equal pyramids by forming corresponding tangents by connecting its center point to each vertex.
[0295] A regular tetrahedron can be divided into four regular triangular pyramids, with corresponding angles of 30°, 60°, 35.2644°, 54.7356°, 70.5288°, 109.4712°, 19.4712°, 125.2644°, 144.7356°, and 160.5288°.
[0296] A regular hexahedron can be divided into six regular square pyramids, with corresponding angles of 30°, 60°, 35.2644°, 54.7356°, 70.5288°, 109.4712°, 19.4712°, 125.2644°, 144.7356°, 160.5288°, 45°, and 90°.
[0297] A regular octahedron can be divided into eight regular triangular pyramids, with corresponding angles of 30°, 60°, 35.2644°, 54.7356°, 70.5288°, 109.4712°, 19.4712°, 125.2644°, 144.7356°, 160.5288°, 45°, and 90°.
[0298] A rhombic dodecahedron can be divided into twelve flattened square pyramids, with corresponding angles of 30°, 60°, 35.2644°, 54.7356°, 70.5288°, 109.4712°, 19.4712°, 125.2644°, 144.7356°, 160.5288°, 45°, and 90°.
[0299] A regular dodecahedron can be divided into twelve regular pentagonal pyramids, with corresponding angles of 30°, 60°, 31.7175°, 58.2825°, 63.4349°, 116.5651°, 26.5651°, 121.7175°, 148.2825°, 153.4349°, 18°, 36°, 54°, 72°, 108°, 126°, 144°, 162°, 90°, 41.8103°, 52.6226°, 69.0948°, 70.5288°, and 37.3774°.
[0300] An icosahedron can be divided into twenty regular triangular pyramids, with corresponding angles of 30°, 60°, 31.7175°, 58.2825°, 63.4349°, 116.5651°, 26.5651°, 121.7175°, 148.2825°, 153.4349°, 18°, 36°, 54°, 72°, 108°, 126°, 144°, 162°, 90°, and 52.6226°, 69.0948°, and 63.4349°.
[0301] The rhombic icosahedron can be divided into thirty flattened square pyramids, with corresponding angles of 30°, 60°, 31.7175°, 58.2825°, 63.4349°, 116.5651°, 26.5651°, 121.7175°, 148.2825°, 153.4349°, 18°, 36°, 54°, 72°, 108°, 126°, 144°, 162°, 90°, and 20.9052°, 31.7175°, 37.3774°, and 79.1877°.
[0302] The relevant angles of a regular icosahedron are 63.4349°, 58.2825°, 52.6226°, 69.0948°, and 63.4349°.
[0303] The relevant angles of a regular dodecahedron are 41.8103°, 52.6226°, 69.0948°, 70.5288°, 31.7175°, 37.3774°, and 58.2825°. The relevant angles of a rhombic icosahedron are 63.4349°, 20.9052°, 31.7175°, 37.3774°, and 79.1877°. A regular icosahedron has thirty identical rhomboid faces. The two interior angles of the rhombus are 116.5651° and 63.4349°, which are angle tiegu23 and angle tiegu22, respectively. The tangents of the angle values are... and The half-angle of these two angles is θtiegu24, which has a diagonal value of 58.2825° and a corresponding tangent value of θtiegu24. Angle tieguZZ24, angle value in raster system is 31.7175°, corresponding to a tangent value of set up Expressing the golden ratio using the symbol H, we have: 1 = H * (1 / H), (1 / H) - H = 1, and... And there will also be corresponding square values of H and 1 / H, and cube values of H and 1 / H. The relationship between these values is... as well as, Related to this is the Fibonacci sequence, in which the terms in the first sequence are all related to H and 1 / H.
[0304] Angles tiegu22 and tiegu6 differ by 45°. Angle tiegu22 is the co-rotation angle of angle tiegu6. Angle tiegu6 is the co-rotation angle of angle tiegu22. Angle tieguZZ6 is the co-rotation angle of angle tiegu5. Angle tiegu5 is the co-rotation angle of angle tieguZZ6. Angle tieguZZ6 and angle tieguZZ22 differ by 135°. Angle tieguZZ6 is the excessive co-rotation angle of angle tieguZZ22. Angle tieguZZ22 is the rotation excessive co-rotation angle of tieguZZ6. Angle tiegu6 and angle tiegu22 differ by 45°. Angle tiegu6 is the half co-rotation angle of angle tiegu22. Angle tiegu22 is the rotation half co-rotation angle of angle tiegu6.
[0305] Additionally, angles tieguZZ1 and tiegu1 are complementary angles, angles tieguZZ1 and tieguZZ2 are supplementary angles, angles tiegu1 and tiegu2 are supplementary angles, angles tieguZZ3 and tiegu3 are complementary angles, angles tieguZZ3 and tieguZZ4 are supplementary angles, angles tiegu3 and tiegu4 are supplementary angles, angles tieguZZ5 and tieguZZ6 are supplementary angles, angles tiegu5 and tiegu6 are supplementary angles, angle tiegu2 is the co-rotation angle of tieguZZ1, angle tieguZZ1 is the rotation-complementary angle of tiegu2, angle tiegu4 is the co-rotation angle of angle tieguZZ3, angle tieguZZ3 is the rotation-complementary angle of tiegu4, angle tiegu6 is the co-rotation angle of angle tieguZZ5, and angle tieguZZ5 is the rotation-complementary angle of angle tiegu6.
[0306] Furthermore, angles 30° and 16° are complementary angles, angles 16° and 16° are complementary angles, angles 16° and 16° are supplementary angles, angles 16° and 16° are supplementary angles, angles 19° and 19° are complementary angles, angles 18° and 18° are complementary angles, angle 16° is the complementary angle of angle 17, angle 17° is the complementary angle of angle 16, angle 16° is the complementary angle of angle 17, angle 19° is half the angle of angle 18, and angle 18° is half the angle of angle 18. Angle 30 is half an angle, angle ZZ19 is half a half angle of angle 30, angle 30 is a double angle of angle ZZ19, angle 21 is the co-rotation angle of angle 18, angle 18 is the rotation co-rotation angle of angle 21, the angle values of angle 19 and angle 20 differ by 45°, angle 19 is the rotation half co-rotation angle of angle 20, angle 20 is the half co-rotation angle of angle 19, angle ZZ19 is half an angle of angle ZZ18, angle ZZ18 is half an angle of angle 30, angle ZZ19 is half a half angle of angle 30, angle 30 is a double angle of angle ZZ19, and so on.
[0307] And also, angles 22 and 23 are complementary angles, angles 22 and 23 are supplementary angles, angles 24 and 25 are supplementary angles, angles 24 and 25 are supplementary angles, angles 26 and 27 are complementary angles, angles 26 and 27 are supplementary angles. They are complementary angles. Angle 24 is half of angle 22. Angle 22 is a double angle of angle 24. Angle 27 is a double angle of angle 22. Angle 27 is a double angle of angle 24. Angle 24 is half of angle 27. Angle 26 is the complementary angle of angle 27. Angle 27 is the complementary angle of angle 26. Angle 27 is the complementary angle of angle 26. Angle 26 is the complementary angle of angle 27.
[0308] Furthermore, angles 28 and 29 are complementary angles, angles 28 and 29 are supplementary angles, angles 28 and 29 are supplementary angles, angles 30 and 30 are complementary angles, angles 30 and 31 are supplementary angles, angles 30 and 31 are supplementary angles, angles 30 and 31 differ by 90°, angle 30 is the complementary angle of angle 31, angle 31 is the complementary angle of angle 30, angle 29 is the complementary angle of angle 28, and angle 28 is the complementary angle of angle 29. Similarly, for the complementary angle, tieguZZ29 is the complementary angle of tiegu28, and tiegu28 is the complementary angle of tieguZZ29. For the complementary angle, tieguZZ32 is a double angle of tieguZZ30, and tiegu32 is a double angle of tiegu30. For the complementary angle, tieguZZ30 is a double angle of tieguZZ16, and tieguZZ32 is a double angle of tieguZZ16. For the complementary angle, tieguZZ16 is a half-half angle of tieguZZ32. For the complementary angle, tiegu30 is a double angle of tieguZZ18, and tiegu32 is a double angle of tiegu30. For the complementary angle, tiegu32 is a double angle of tieguZZ16, and tieguZZ16 is a half-half angle of tiegu32.
[0309] Furthermore, angles tieguZZ54 and tieguZZ55 are complementary angles, angles tieguZZ54 and tieguZZ55 are supplementary angles, angles tieguZZ56 and tieguZZ57 are complementary angles, angles tieguZZ58 are complementary angles. The co-rotation angle of ieguZZ56, angle tieguZZ56 is the co-rotation angle of angle tieguZZ58, angle tiegu58 is the co-rotation angle of angle tiegu56, angle tiegu56 is the co-rotation angle of angle tiegu58, angle tieguZZ58 and angle tiegu57 differ by 45°, angle tiegu58 and angle tieguZZ57 differ by 45°, angle tieguZZ58 is the half co-rotation angle of angle tiegu57, angle tiegu57 is the half co-rotation angle of angle tieguZZ58.
[0310] Furthermore, angles 60° and 62° are complementary angles, angles 60° and 62° are complementary angles, angles 70° and 70° are complementary angles, angle 62° is half an angle of angle 70°, angle 70° is half an angle of angle 69°, angle 62° is half a half angle of angle 69°, angle 69° is a double angle of angle 62°, angle 62° is half an angle of angle 70°, angle 70° is half an angle of angle 68°, and angle 62° is half a half angle of angle 68°.
[0311] Furthermore, angle tiegu92 is a double angle of angle tiegu68, angle tiegu92 is a double angle of angle tiegu70, angle tiegu92 is a double angle of angle tiegu62, angle tiegu62 is half a half a half angle of angle tiegu92, angle tiegu63 is the co-rotation angle of angle tieguZZ62, and angle tieguZZ62 is the rotation co-rotation angle of angle tiegu63.
[0312] Angle tieguZZ63 is the corotation angle of angle tiegu62, and angle tiegu62 is the corotation angle of angle tieguZZ63.
[0313] Angles tiegu93 and tiegu92 are supplementary angles, and angles tieguZZ93 and tiegu93 are complementary angles.
[0314] Angle tiegu27 and angle tiegu92 are the same, and angle tieguZZ26 and angle tieguZZ93 are the same.
[0315] Angle tiegu93 and angle tiegu26 are the same, and angle tiegu23 and angle tieguZZ92 are the same.
[0316] The angle tieguZZ27 and the angle tieguZZ91 are the same.
[0317] Furthermore, angles tieguZZ72 and tiegu72 are supplementary angles, angles tieguZZ73 and tiegu73 are supplementary angles, angles tieguZZ74 and tiegu74 are supplementary angles, angles tieguZZ75 and tiegu75 are supplementary angles, and angles tieguZZ72 and tiegu75 have a corotation relationship, with tiegu75 being the corotation of tieguZZ72. Angle 72 is the complementary angle of angle 75, and the corresponding angles 73 and 74 are also complementary angles, as are the corresponding angles 74 and 73, and the corresponding angles 75 and 72. Furthermore, angles 72 and 75 are complementary angles, and angles 73 and 74 are complementary angles.
[0318] Angles tieguZZ76 and angular tiegu76 are complementary angles. Angle tiegu77 is the corotation angle of angle tieguZZ76. Angle tieguZZ77 is the corotation angle of angle tiegu76. Angle tieguZZ89 and angular tiegu89 are complementary angles. Angle tieguZZ78 and angular tiegu78 are complementary angles. Angle tieguZZ77 and angular tiegu78 are complementary angles. Angles 76 and 77 differ by 45° and are semi-perpendicular to each other. Angles 77 and 76 differ by 135° and are perpendicular to each other. Angle 76 is a semi-complementary angle of angle 77, and angle 77 is a perpendicular angle of angle 76. Angle 76 is a perpendicular angle of angle 77. Angle 77 is a semi-complementary angle of angle 76. Angle 77 is a perpendicular angle of angle 76.
[0319] Angles 77 and 76 sum to 135°, indicating they are complementary angles. Angles 78 and 79 sum to 45°, indicating they are semi-complementary angles.
[0320] In similar tables, there are also corresponding complementary angles formed by two angles, with the two angles being 135°, and there are also corresponding semi-complementary angles formed by two angles, with the sum of the two angles being 45°. Among them, the angle starting from the angle tieguZZ52 with a tangent value of one has an angle value of 45°, and the arctangent trigonometric function expression is arctan(1)rad. This forms a double angle, which is 90°. The expression for the arctangent trigonometric function is:
[0321] Starting from the beginning, changing to 2 results in two corresponding angles: angle tieguZZ70 and angle tiegu70.
[0322] The arctangent trigonometric function expression for angle tieguZZ70 is: The arctangent trigonometric function expression of angle tiegu70° is: Since the sum of two angles is 90°, they are complementary angles. Therefore, we have the half-angle and double-angle of each angle, then the half-angle and double-angle, and the complementary angle and supplement of each corresponding half-angle and double-angle. Furthermore, we have the half-complementary angle and the angle beyond the complementary angle, as well as the half-complementary turning angle and the angle beyond the complementary turning angle, and the complementary angle of the corresponding half-complementary turning angle and the angle beyond the complementary turning angle.
[0323] The angles between the corresponding edges and their corresponding faces of a regular polyhedron, the angles between adjacent faces, the angles between each edge and the perpendicular bisector of the regular polyhedron, the angles between the edges and the perpendicular bisectors of a regular polyhedron's 1 / N triangular and / or square pyramid, the angles between the edges and the perpendicular bisectors of a regular polyhedron's 1 / N triangular and / or square pyramid, and the angles between the edges and the perpendicular bisectors of a regular polyhedron's 1 / N triangular and / or square pyramid, in these corresponding sets of angular relationships, there will be repeated relationships where the sum of the two angles is 90°, 45°, or 135°, or the difference between the two angles is 90°, 45°, or 135°. The tangent values of the corresponding angular relationships for a regular hexahedron are concentrated in the range where the tangent value is... as well as as well as and as well as The combination of related angles, including those involving tables with tangent values, as well as as well as and as well as The corresponding double angles, multiple double angles, half angles, or half-half angles, etc., based on these important tangent values, along with the corresponding complementary angles, supplementary angles, mutually complementary and mutually redundant angles, and again the corresponding half angles and double angles, etc., are important components in the transformation between regular hexahedrons, regular tetrahedrons, regular octahedrons, and regular dodecahedrons. The interior angles of all twelve faces of a regular dodecahedron are 70.5288° and 109.4712°, denoted as tieguZZ69 and tiegu68 respectively. The angle tieguZZ69 is 109.4712°, and the angle tiegu68 is 70.5288°. The tangent values of these two angles are... and The complementary angle of 109.4712° is 19.4712°, and the tangent value is... The angle value in degrees is 70.5288°. A double angle of 68° is 64°, and the angle value of 64° in degrees is 141.0596°. The arctangent trigonometric function expression is...
[0324] The various angles listed above that are complementary, complementary, semi-complementary, excessively complementary, and mutually complementary in a transformative or complementary-transformative manner, mutually excessively complementary-transformative or transformative-excessively complementary, mutually semi-complementary-transformative or transformative-semi-complementary, and correspondingly, also have some relationships where the sum of two or three angles is 180°.
[0325] For example, 54.7356°, 54.7356°, and 70.5288°, the sum of the three is 180°;
[0326] That is
[0327] For example, 35.2644°, 35.2644°, and 109.4712°, the sum of the three is 180°;
[0328] That is
[0329] For example, the sum of the triangles 37.3774°, 63.4349°, and 79.1877° is 180°;
[0330] That is
[0331] For example, 41.8103°, 69.0949°, and 69.0949°, the sum of the triangles is 180°;
[0332] That is
[0333] Divide the regular N-sided polyhedron into N regular polyhedrons by forming N cross-sections along the lines connecting its center and vertices. The corresponding graphical and textual descriptions of the regular polyhedrons are as follows, with the spatial correspondence of approximately 100 angle values described below:
[0334] like Figure 1 and Figure 2 There is Figure 1 a and Figure 2 As shown in figure a, a regular tetrahedron, connected to its center point and four vertices, forms four faces along four lines. This tetrahedron can be divided into four regular triangular pyramids. The relevant angles of the resulting regular triangular pyramids are shown in the figure. The arctangent function expression representing the tangent angles shown represents the exact values of each angle. See [Figure a]. Figure 1 a and Figure 2 a, such as Figure 2 As shown in Figure a, the angle between the faces of the four regular triangular pyramids divided by a regular tetrahedron is 120°. The angle between the lateral face and the base of the pyramid is 35.2644°, and the angle between the lateral face and the base of the regular tetrahedron is 70.6288°. The ratio of these two angle values is 1:2, which represents a half-angle and a double-angle relationship.
[0335] The angles between the lateral edges of a regular tetrahedron and the lines opposite to its common vertex, the angles between the oblique lateral edges of a triangular pyramid divided into four equal parts and the lines opposite to its common vertex, the angles between the perpendicular bisectors of the tetrahedron and the base of the base of the base and the lateral edges, the angles between the perpendicular bisectors of the base and the base of the base of the triangular pyramid and the lateral faces, the angles between the lines of the lateral edges and the edges, the angles between the faces of the lateral faces, the angles between the perpendicular bisectors of the base and the base of the lateral faces, and the angles between the perpendicular bisectors of the base and the base of the lateral faces and the lines of the lateral edges, the lateral faces, and the lines between the lateral edges and the lateral faces, etc., are all listed in the figure.
[0336] like Figure 2 As shown in b, the angle between adjacent faces of the six regular square pyramids formed by the division of a regular hexahedron is 120°, and the angle between faces sharing a vertex but not an edge is 90°. For example... Figure 1 and Figure 2 There is Figure 1 b and Figure 2 As shown in figure b, a regular hexahedron, connected to its center point and eight vertices, has six faces that are octagonal. It can be divided into six regular square pyramids. The relevant angles of the resulting regular square pyramids are shown in the figure. The arctangent function expression representing the tangent angle values of each angle corresponds to an exact value. See [Figure b]. Figure 1 b and Figure 2b. The angle between the lateral face and the base of a square pyramid formed by cutting a regular hexahedron into six equal parts is 45°. The angle between two faces sharing a common edge of the regular hexahedron is 90°. The ratio of these two angles is 1:2, which represents a half-angle and a double-angle relationship.
[0337] The angles between the lateral edges of a regular hexahedron and the lines opposite to its common vertex, the angles between the oblique lateral edges of a square pyramid divided into six equal parts and the lines opposite to its common vertex, the angles between the perpendicular bisectors of the lateral edges (from the vertex to the base of the regular hexahedron and the square pyramid divided into six equal parts), the angles between the perpendicular bisectors of the lateral edges and the lateral faces, the angles between the lines of lateral edges and edges, the angles between the faces of lateral faces, the angles between the perpendicular bisectors of the lateral edges from the base to the base of each lateral face, and the angles between the perpendicular bisectors of the lateral edges and the lines of lateral edges, lateral faces, and the lines between each other, etc., are all listed in the figure. Figure 3 a is a rhombic dodecahedron Figure 3 b is a rhombic icosahedron. Figure 3 c is a regular dodecahedron. Figure 3 d. Regular icosahedron. Figure 3 Let 'a' be a rhombic dodecahedron with 12 faces. The four interior angles of the rhombic face are: and Figure 3 b is a rhombic icosahedron with 30 faces. The four interior angles of the rhombic face are , and Figure 3 A regular dodecahedron has all its regular pentagonal faces with interior angles of 108°.
[0338] Figure 3 The angle between the faces of a regular dodecahedron is an outward angle. That is, 116.5651° Figure 3 A regular icosahedron consists of 20 equilateral triangular faces.
[0339] Figure 4 a flattened tetrahedron is formed by dividing a rhombic dodecahedron into twelve parts.
[0340] Figure 4 b. A flattened quadrangular pyramid formed by dividing a rhombic 30-sided polyhedron into 30 sections.
[0341] The angles between the lateral edges of a rhombic dodecahedron and the lines opposite to its common vertex, the angles between the oblique lateral edges of a flattened square pyramid divided into twelve equal parts and the lines opposite to its common vertex, the angles between the perpendicular bisectors from the vertex to the base of the rhombic dodecahedron and the flattened square pyramid divided into twelve equal parts, the angles between the perpendicular bisectors from the vertex to the base and the lateral edges, the angles between the lines of lateral edges and edges, the angles between the faces of lateral surfaces, the angles between the perpendicular bisectors from the base to the base of each lateral surface and the angles between the perpendicular bisectors from the base to the base of each lateral surface and the lines of lateral edges, lateral surfaces, and the lines between each other, etc., are all listed in the figure.
[0342] The angles between the lateral edges of the rhombic 30-sided pyramid and the lines opposite to the common vertex, the angles between the oblique lateral edges of the flattened square pyramid divided into 30 equal parts and the lines opposite to the common vertex, the angles between the perpendicular bisectors from the vertex to the bottom face of the rhombic 30-sided pyramid and the lateral edges, the angles between the perpendicular bisectors from the vertex to the bottom face and the lateral faces, the angles between the lines of the lateral edges and the edges, the angles between the faces of the lateral faces, the angles between the perpendicular bisectors from the base point to the lateral vertex of each lateral face, and the angles between the perpendicular bisectors from the base point to the lateral vertex and the lines of the lateral edges, lateral faces, and the lines between them, etc., are all listed in the figure.
[0343] Figure 5 A regular pentagonal pyramid, which is one-twelfth of a regular dodecahedron. Figure 5 b. A regular triangular pyramid formed by dividing a regular icosahedron into 1 / 20ths of its length. The corresponding angles in the above figures, along with their accurate arctangent trigonometric function expressions in radians, are listed in the corresponding angle data for each regular polyhedron above. Specifically, the angle between the lateral face and the base of the pentagonal pyramid formed by dividing a regular dodecahedron into 1 / 12ths of its length is 58.2825°. The angle between the faces sharing a common edge of the regular dodecahedron is 116.5651°. The ratio of these two angles is 1:2, representing a half-angle and a double-angle relationship. Furthermore, the tangent of 58.2825° is the reciprocal of the golden ratio, i.e., arctan(58.2825°) = 1 / H, and the tangent of 116.5651° is arctan(116.5651°) = -2.
[0344] Furthermore, in a regular icosahedron, the angle between the lateral face and the base of the triangular pyramid that is one-twentieth of the icosahedron is 69.0948°, and the angle between the faces of the common edge of the regular icosahedron is 138.1896°. The ratio of the two angle values is 1:2, which is a half angle and a double angle relationship.
[0345] The angles between the lateral edges of a regular dodecahedron and the lines opposite to its common vertex, the angles between the oblique lateral edges of a pentagonal pyramid divided into twelve equal parts and the lines opposite to its common vertex, the angles between the perpendicular bisectors from the vertex to the base of the dodecahedron and the lateral edges, the angles between the perpendicular bisectors from the vertex to the base of the pentagonal pyramid and the lateral faces, the angles between the lines of lateral edges and edges, the angles between the faces of lateral faces, the angles between the perpendicular bisectors from the base to the base of each lateral face and the lines of lateral edges, lateral faces, and the lines between each other, etc., are all listed in the figure.
[0346] The angles between the lateral edges of a regular icosahedron and the lines opposite to its common vertex, the angles between the oblique lateral edges of a triangular pyramid divided into twenty equal parts and the lines opposite to its common vertex, the angles between the perpendicular bisectors from the vertex to the base of the icosahedron and the lateral edges, the angles between the perpendicular bisectors from the vertex to the base of the pentagonal pyramid and the lateral faces, the angles between the lines of lateral edges and edges, the angles between the faces of lateral faces, the angles between the perpendicular bisectors from the base to the base of each lateral face and the lines of lateral edges, lateral faces, and the lines between each other, etc., are all listed in the figure.
[0347] exist Figure 6 a, Figure 6 b, Figure 6 In equation c, there are, in order, a regular icosahedron, a rhombic icosahedron, and a regular dodecahedron, connected... Figure 6 The short diagonals of each face of the rhombic icosahedron can be used to obtain the right side. Figure 6 By connecting the edge framework of the regular icosahedron c with the major diagonals of each face of the rhombic icosahedron, we can obtain the right side. Figure 6 The edge framework of a regular dodecahedron.
[0348] exist Figure 7 a, Figure 7 b, Figure 7 In c, there are, in order, a regular octahedron, a rhombic dodecahedron, and a regular hexahedron, connected... Figure 7 The short diagonals of each face of the rhombic dodecahedron can be used to obtain the right side. Figure 7 By connecting the edge framework of the regular hexahedron c with the long diagonals of each face of the rhombic icosahedron, we can obtain the following on the right. Figure 7 The edge framework of a regular octahedron.
[0349] Figure 8 In section a, the correspondence between a regular icosahedron and a regular hexahedron is expressed. Figure 8 In section b, the correspondence between a regular dodecahedron and a regular hexahedron is expressed.
[0350] Figure 8In diagram a, there is a spatial correspondence between a regular icosahedron and a regular hexahedron, as shown in the figure. The regular icosahedron has three pairs of mutually perpendicular edges, totaling six edges, which correspond to the six faces of the regular hexahedron. Each of the six edges is parallel to or collinear with three faces of the hexahedron. Any vertex of the regular icosahedron has five edges, and four of these edges form a symmetrical relationship with the regular hexahedron. Furthermore, one of the five edges passing through a vertex is parallel or perpendicular to the edges of the two regular hexahedrons containing the coplanar or parallel faces. Additionally, two edges from two other regular icosahedrons form angles of 72° or 36° with the corresponding edges on the face of the regular hexahedron. Since the direction of any edge is either positive or negative, the angles formed can be 108°, 126°, 144°, or 162°. Furthermore, for any edge of a regular hexahedron, there are two faces perpendicular to that edge. Therefore, among the five edges of a regular icosahedron that share a common vertex, there are corresponding line-plane angles of 18° and 54° with the six faces of the regular hexahedron.
[0351] Figure 8 In diagram b, there is a spatial correspondence between a regular dodecahedron and a regular hexahedron, as shown in the figure. A regular dodecahedron has three pairs of mutually perpendicular edges, totaling six edges, which correspond to the six faces of a regular hexahedron. Each of the six edges is parallel to or collinear with three faces of the hexahedron. Any vertex of a regular dodecahedron has five edges, and four of these edges form a symmetrical relationship with the regular hexahedron. Furthermore, one of the five edges passing through a vertex is parallel or perpendicular to the edges of two regular hexahedrons containing faces that are coplanar or parallel to it. Additionally, two edges from two other regular dodecahedrons form an angle of 72° or 36° with the corresponding edges on the face of the regular hexahedron. Since the direction of any edge is either positive or negative, the angles formed can be 108°, 126°, 144°, or 162°.
[0352] Figure 9a. The angles between lines, planes, and faces of a flattened quadrangular pyramid, which is divided into twelve equal parts by a rhombic dodecahedron, are as follows: The relationships between the four lateral faces are: two adjacent lateral faces have angles of 90° and 90°; two lateral faces have an angle of 120°; and two non-adjacent, alternating, opposite lateral faces sharing a vertex have an angle of 60°. The angles between all four lateral faces and the base are 60°. Furthermore, the angle between adjacent perpendicular lines from the lateral faces to the base is 33.5573°, and the angle between two non-adjacent, alternating, opposite perpendicular lines is 60°. The angle between the four lateral edges and the vertex connected to the base is... The angles between the perpendiculars and the perpendicular bisectors are 45°, 54.7356°, 45°, and 54.7356° respectively. The angles between adjacent lateral edges are 54.7356°, 54.7356°, 54.7356°, and 54.7356° respectively. The angles between the edges of the four lateral edges and the bottom edge of the common bottom vertex of the base are 54.7356°, 70.5288°, 54.7356°, and 70.5288° respectively. The angles between two non-adjacent lateral edges and between edges are 109.4712° and 90° respectively. The interior angles of the bottom rhombus are 70.5288°, 109.4712°, 70.5288°, and 109.4712°. The angle between opposite faces is 90°, and the angle between adjacent faces is 120°. The tangents of these related angles are repeatedly found in… as well as, as well as, The corresponding values change.
[0353] Figure 9 b. The perpendicular lines from the lateral face of a flattened square pyramid (one-thirtieth of a regular 30-sided pyramid) through the vertex to the base have angles of 18.6994° and 30.4803° between two adjacent perpendicular lines, and 36° between two non-adjacent, opposite perpendicular lines. The angles between the non-adjacent, opposite sides are 63.4349° and 41.8103°. The angles between the four lateral edges and the central axis passing through the vertex and center of the base of the pyramid are half an angle of 63.4349° and a complementary angle of 41.8103°, i.e., 31.7175° and 58.2825°, respectively. The perpendicular line from the lateral line through the vertex and perpendicular to the base of the pyramid has an angle of 18° with the central axis.
[0354] The included angles of the four lateral edges are 37.3774° for any two adjacent lateral edges passing through a vertex. The included angles between the edge sharing a vertex with the base and the base are 63.4349° and 79.1877°. The interior angles of the bottom rhombus are 63.4349° and 116.5651°. The included angles between two adjacent lateral faces are 120° and 72°. The included angle between two non-adjacent lateral faces is 36°. The included angles between all four lateral faces and the base are 72°. Figure 10 a. A regular dodecahedron is divided into a regular pentagonal pyramid of 1 / 12. The angle between adjacent perpendicular lines of the five lateral faces is 36°, and the angle between alternating perpendicular lines is 60°. The angle between the five lateral perpendicular lines and the base is 58.2825°. The angle between adjacent edges of the five lateral edges is 41.8193°, and the angle between alternating edges is 70.5288°. In addition, the angle between faces sharing an edge is 120°, and the angle between alternating faces is 72°.
[0355] Figure 10 A regular icosahedron is divided into a 20-point regular triangular pyramid. The angle between the lines of the lateral edges is 63.4349°, the angle between the facet and the base is 69.0948°, the angle between the faces of the lateral edges is 72°, and the angle between the lines of the corresponding lateral edges and the central axis is 37.3774°. The angle between the perpendiculars from the vertices to the base of the three lateral edges is 36°, and the angle between the perpendiculars and the base is 69.0948°.
[0356] The angles between the faces sharing the common edge of a trichirod are 72°, 36°, and 90°, and there are also parallel relationships between the faces.
[0357] The non-coplanar edges of a regular 30-sided polygon have an angle of 63.4349° or 116.5651°. The four interior angles of any face of a regular 30-sided polygon are 63.4349°, 116.5651°, 63.4349° and 116.5651°.
[0358] The angle between the edge of a regular 30-sided polygon and the line of its face is either 31.7175° (the corresponding supplementary angle is 148.2825°) or 58.2825° (the corresponding supplementary angle is 121.7175°), or the line and the face are parallel.
[0359] The angle between the faces of a regular icosahedron that share a common edge is 138.190° (more precisely, 138.1897°), and its supplementary angle is 41.8103°.
[0360] For a regular icosahedron, the angle between the faces of the non-coplanar edges is 109.4712° or 138.190° (more precisely, 138.1897° or 138.1896°). For a regular icosahedron, the angle between the faces of the non-coplanar edges ...
[0361] In a regular icosahedron, the angle between edges sharing a vertex is 60° between two edges that are coplanar. For edges that are not coplanar, the angle can be 90°, 72°, or 36°. Correspondingly, the angle between an edge and a face that does not share a vertex in a regular icosahedron can be 18°, 54°, 162°, or 36°. The angle between an edge and a face of a regular icosahedron is 35.2644° (with supplementary angle 144.7356°), 20.9052° (with supplementary angle 159.0948°), and 69.0948° (with supplementary angle 110.9052°). Edges sharing a vertex are parallel to faces.
[0362] The included angle between the five edges of any face of a regular pentagon of a dodecahedron is 108°, 36°, or 108°.
[0363] The angle between any edge of a regular dodecahedron and its non-coplanar edges is 120°, 36°, 90°, 144°, 72°, 108°, and 60°, and the lines are parallel. The angle between any face of a regular dodecahedron and its face sharing an edge is 116.5651°. The angle between any face of a regular dodecahedron and its non-coplanar edges is 108°, 72°, 60°, 120°, and 90°, or the two faces are parallel. There are also angles of 31.7175° (supplementary angle 148.2825°) or 58.2825° (supplementary angle 121.7175°), or the line and the face are parallel.
[0364] Figure 11 a, Figure 11 b corresponds to a regular octahedron and a regular triangular pyramid divided into eight parts. By connecting the center point of the regular octahedron to each vertex, a dividing plane is formed, which divides the regular octahedron into eight parts, resulting in a regular triangular pyramid. The corresponding angle values of each angle are shown in the figure.
[0365] Figure 4 a and Figure 12 a and Figure 12The expression is a flattened square pyramid formed by dividing a rhombic dodecahedron into twelve points passing through its center. The corresponding angles are shown in the figure. The relationships between the four lateral faces are as follows: two adjacent lateral faces have angles of 90° and 90°; two lateral faces have an angle of 120°; and two non-adjacent, alternating lateral faces sharing a vertex have an angle of 60°. The angles between all four lateral faces and the base are 60°. Furthermore, the angle between adjacent perpendicular lines from the lateral faces to the base is 33.5573°, and the angle between two non-adjacent, alternating perpendicular lines is 60°. The four lateral edges are connected to the center point of the base. The angles between the perpendicular bisector of the vertex and the edges and perpendicular bisectors are 45°, 54.7356°, 45°, and 54.7356°, respectively. The angles between adjacent lateral edges are 54.7356°, 54.7356°, 54.7356°, and 54.7356°. The angles between the edges and the bottom edge of the vertex sharing the bottom of the four lateral edges and the base are 54.7356°, 70.5288°, 54.7356°, and 70.5288°, respectively. The angles between two non-adjacent lateral edges and between edges are 109.4712° and 90°, respectively. The interior angles of the bottom rhombus are 70.5288°, 109.4712°, 70.5288°, and 109.4712°. Figure 12 The angle between the oblique lateral face and the base of the twelve equally divided flattened square pyramids obtained by cutting the dodecahedron is 60°. Figure 4 a and Figure 12 a and Figure 12 In the rhombic dodecahedron, the angle between two adjacent faces sharing the same edge is 120°, which is a multiple of the angle between the lateral face and the base of the evenly divided dodecahedron, 120° = 2 * 60°.
[0366] Figure 4 b, Figure 9 b and Figure 13 This represents a flattened square pyramid formed by dividing the same rhombic icosahedron into thirty points passing through its center. Figure 13 The angle between the oblique lateral surface and the base of the thirty equally divided flattened square pyramids obtained by cutting the rhombic icosahedron is 72°.
[0367] Figure 4 b, Figure 9 b and Figure 13 In the case of a rhombic 30-sided pyramid, the angle between two adjacent faces sharing the same edge is 144°, which is a multiple of the angle between the lateral face and the base of a 30-divided flattened square pyramid. 144° = 2 * 72°.
[0368] Building blocks are a type of structure. LEGO-style building blocks are a common type of interlocking building blocks. They are standardized building blocks and are based on a three-perpendicular coordinate system. The three perpendicular coordinate axes form a motion trajectory that connects two building blocks. LEGO-style building blocks have been sold globally for six or seven decades. There are also block-type building blocks and snap-fit building blocks. Common snap-fit building blocks include snowflake-shaped blocks (eight-slotted block units) and plum-shaped blocks (six-slotted block units), which are also popular, have a long history, and are inexpensive. The building block toy industry employs a large number of people. Many universities and colleges in Zhejiang province have invested heavily in research projects on spatial structural relationships, aiming to achieve breakthroughs and create new horizons in building block construction. There are also specialized industrial research institutes and enterprise complexes dedicated to researching the spatial structure of building block toys. For example, the Wooden Toy Industry Innovation Service Complex in Yunhe County, Lishui, has invested heavily in building block toy research and achieved fruitful results. However, the complex structural relationships create production difficulties, making it challenging to simultaneously satisfy various advantages. Existing building block toy products often suffer from limitations in production scale due to structural features and mold production, hindering mass production, large-scale manufacturing, and automated production. This prevents the simultaneous fulfillment of multiple requirements, including the manufacturing and technical aspects of current plastic building block toy products on the market.
[0369] To address these differences, this invention provides a new technical solution that simultaneously balances ease of production and complexity of structural relationships. It satisfies various constraints and technical aspects, offering new technical solutions for spatial structural design, such as spatial construction angle combinations, and realizing a new standardized connection structure mode in a spatial matrix format. This enables the structural combination of some building blocks, further optimizing functionality in spatial construction combinations, and simultaneously achieving low-cost mass production. It achieves both automated mass production with cost advantages and superior product performance.
[0370] Regarding the locking structure, conventional technologies have many locking structures that are not easy to disassemble. Some internationally renowned companies have been researching locking structure relationships for decades and have invented hundreds of products. However, the locking structure is usually complex, and the realization of its technical features makes the production process and assembly of components too complicated. The details required in various manufacturing processes are high, which is a shortcoming of the relevant locking technology on the market.
[0371] This invention provides a connection structure between individual structural units that can be used for locking. It can achieve both easy release and secure locking with appropriate force, while also being easy to release. At the same time, the structure is simple and easy to use.
[0372] In fields such as sunrooms, tool sheds, building structures, and shelving connection methods, the structural unit of this invention can simplify and standardize the connectors in the corresponding fields. It can provide a low-cost manufacturing advantage in the production and manufacturing direction, so as to produce standardized connectors that are easy to install and less prone to errors in assembly and use. That is, the application fields of the structural unit are extended.
[0373] This invention also includes digital structural units and assemblies, which can provide digital services, networked services, and instant messaging collaborative services for structural units in the aforementioned fields. The digital structural units and assemblies include digital building block units and digital building block assemblies. The digital structural unit units can improve collaborative cooperation from design to production among numerous enterprises. They can achieve technical collaboration and network synchronization of digital structural units and assemblies through network storage, uploading, downloading, and other transmission services, thereby improving the design efficiency and manufacturing efficiency of connectors in the aforementioned fields, reducing costs, and simultaneously providing pre-sales advertising and promotion, enhancing sales value, and continuing to provide feedback services after sales.
[0374] The digital building blocks in this invention, as digital structural units, can be directly stored and transmitted on a network server, and related digital structural units and combinations can be uploaded and downloaded. They can also be synchronously stored, uploaded, downloaded, and collaboratively used on electronic devices of different user terminals. This allows users around the world to use the building blocks and structural units in related extended fields on their electronic devices simultaneously. Furthermore, it enables numerous users worldwide to simultaneously create, design, research, showcase, and advertise, facilitating the creation of new digital building blocks, the extended applications of new digital structural units in various fields, the synchronous collaborative creation of new building block structures by multiple users, and the application of other structural units and combinations similar to the building blocks.
[0375] This invention also provides a method for calculating and generating digital building blocks, as well as a corresponding platform and digital terminal device, which enables numerous users to use digital and physical building blocks simultaneously online and offline, and to upload and download building block units of different styles and spatial structures from different users, thereby realizing collaborative interaction between digital building blocks and real-world physical building blocks.
[0376] All these fields share a common goal: to simultaneously achieve both precision and versatility in spatial construction, and to address the two mutually constraining factors of cost and technical challenges in production, construction, and manufacturing when considering the mass production of individual and combined structures. Cost considerations must include economic efficiency, cost savings, and low prices; production and manufacturing technologies must be risk-controlled; and after-sales service and maintenance must be readily available.
[0377] The technical solution of this invention can achieve precise and versatile spatial structure, realize standardized connection of related target products in a spatial matrix, such as connectors for various applications and building block toys, etc., all of which can save costs and have low prices, and the production and manufacturing are not complicated or difficult. Automated mass production and manufacturing management is easy to maintain and simple, with low cost and high efficiency. The molds are easy to make and the production can be easily controlled.
[0378] The beneficial effect of the structural unit of the present invention is that, relying on the spatial skew planes of two or more static axes on at least one main body of each unit, and the cross-limiting connection relationship, the structural unit acting as a connector is set as the intersection node between two or more lines in each relevant spatial matrix, or the intersection node between a line and a plane, or the intersection node between planes, thereby connecting multiple connected structural units into a spatial matrix. The spatial matrix includes both nodal spatial matrices in a Cartesian coordinate system with three perpendicular relationships [the nodal spatial matrix in a Cartesian coordinate system with three perpendicular relationships is a spatial matrix based on a regular hexahedron as the basic unit], and nodes in non-three perpendicular spatial matrices, such as... This refers to spatial matrices with 60° intersecting spatial skew lines [the aforementioned spatial matrices with 60° intersecting spatial skew lines are spatial matrices based on regular octahedrons and tetrahedrons], or other non-cubic matrices, non-octahedral matrices, non-tetrahedral matrices, etc., as well as the intersections of various different matrices, such as secondary spatial matrices connecting regular hexahedrons and regular dodecahedrons, or, for example, secondary spatial matrices connecting regular hexahedrons and regular icosahedrons, etc. These complex and varied spatial construction connection methods using various spatial matrices and secondary spatial matrices are most widely used, and will be most commonly applied in standardized connectors characterized by building blocks.
[0379] In terms of applications as building blocks, the various spatial matrix-style construction connection methods and connection relationships, with their variability, can undergo extremely complex changes with an exponential increase in the number of construction variations. Summary of the Invention
[0380] In view of the problems existing in the prior art, the purpose of this invention is to design and provide technical solutions for structural single units and combinations thereof, as well as digital single units and combinations thereof and their applications.
[0381] The present invention is implemented using the following technical solutions:
[0382] This invention provides a structural unit comprising at least one main body, the main body comprising at least two connecting parts, each connecting part comprising at least one static connection structure, each static connection structure comprising at least one first connecting axis and a connecting end. The structural unit is characterized by having at least two static axes, static axis one and static axis two, which are non-parallel, non-coincident, and non-intersecting. Static axis one is the first connecting axis of static connection structure one of connecting part one, and static axis two is the first connecting axis of static connection structure one of connecting part two. Static axis one and static axis two each have at least one on the XOY plane of the coordinate system. The structure includes a projection axis, a static projection axis one, and a static projection axis two. Each structural unit has at least two tilt angles, tilt angle one a1 and tilt angle two a2, where tilt angle one a1 and tilt angle two a2 are the line-plane angles between static axis one and static axis two and the coordinate system plane XOY, respectively. Each structural unit has at least one projection angle b12, where projection angle b12 is the line-line angle between static projection axis one and static projection axis two. The structural units can be interconnected. Each structural unit is tightly connected or detached by moving forward or backward along one of the static axes. Within the main body of each structural unit, at least two static axes are skew lines.
[0383] The XOY plane, the coordinate system plane of the structural unit, can be used as the parting surface for the production of molds for mass production of structural units, which facilitates large-scale and low-cost production, reduces production difficulty, and controls production costs and risks.
[0384] The XOY plane, the coordinate system plane of the structural unit, can be used as the parting surface for the production of molds for mass production of structural units, thereby improving production efficiency and / or reducing the cost of mass production.
[0385] A structural unit, wherein the angle value of the static space included in the structural unit is in the range of 0°<C12≤90°.
[0386] The aforementioned static axis one and static axis two form a spatial relationship of two non-parallel, non-coincident, and non-intersecting skew lines in coordinate space. Each connecting end of one of the two structural units connected along the connecting axis (advancing or regressing) mutually limits each other, ensuring that the center position of the main body of any connected structural unit is simultaneously defined by the connecting ends of the two non-parallel, non-coincident, and non-intersecting static axes. Thus, the spatial position of any structural unit within the overall structural connection is determined by this limitation, and each structural unit is statically connected to two other units. As defined by the structure, the angle C12 of the static space is between 0° and 90°, excluding 0° and including 90°. When the angle C12 is 90°, the two static axes are spatially skew lines and perpendicular to each other. The two connecting ends of the structural unit have a constant distance at their closest point, which is not zero. When the connection between the units reaches the tightest distance, the overall connection between the units is the tightest. The forward or backward connecting ends of the multiple mutually limiting connecting axes become unable to loosen on their own, thus being tightly connected together.
[0387] A structural unit, wherein the structural unit has at least two static axes, the angles a1, a2 and the included angle b12 of the projection of the two static axes are as follows, and when the u1 end of static axis one axis1 and the u2 end of static axis two axis2 have the same or different inclinations, the following are provided:
[0388] There is an included spatial angle cu1u2 between the u1 end of stationary axis 1 and the u2 end of stationary axis 2. The included spatial angle cu1u2 is related to the included spatial angle C12, and they are either equal or complementary.
[0389] When the angle between the two ends of the space is less than or equal to 90°, the angle between the ends of the space and the angle between the static space are equal. When the angle between the ends of the space is greater than 90°, the angle between the ends of the space and the angle between the static space are complementary.
[0390] Alternatively, if stationary axis 1 has an end u1 and an end v1, and there is an end space angle cu1u2 and cv1u2 between it and the end u2 of stationary axis 2, the relationship between the end space angle cv1u2 and the stationary space angle C12 is either equal or complementary.
[0391] Alternatively, the static axis 1 has a u1 end, the static axis 2 has a u2 end and a v2 end, the u1 end of the static axis 1 and the v2 end of the static axis 2 have an included end space angle cu1v2, the included end space angle cu1v2 is related to the static space angle C12, which may be equal or complementary.
[0392] Alternatively, if stationary axis 1 has an end u1 and an end v1, and stationary axis 2 has an end u2 and an end v2, and between stationary axis 1 and stationary axis 2 there are cu1u2, cv1u2, cu1v2, and cv1v2, all of which have a relationship with the included angle of the end space and the included angle of the stationary space C12, which are either equal or complementary, and cu1u2 = cv1v2, cu1u2 = cv1v2. The angle values of all included angles of the end space are between 0° and 180°, and are not 0° or 180°. When there are only two stationary axes, the angle values of all included angles of the end space are between 0° and 180°, and are not 0° or 180°.
[0393] The tilting direction combination formed by one direction end u1 and one direction end u2 of each of the two static axes of the monomer can either have the same inclination or have different inclinations.
[0394] The aforementioned inclinations are as follows: each of the connecting ends u1 and u2 is simultaneously inclined outward and downward, or simultaneously inclined outward and upward, or simultaneously inclined inward and downward, or simultaneously inclined inward and upward, or inclined outward and downward and inclined inward and upward, or inclined outward and upward and inclined inward and downward.
[0395] The inclinations are different, meaning that each connecting end u1 and u2 are inclined outward and downward and inclined outward and upward, or inclined outward and upward and inclined inward and downward, or inclined outward and downward and inclined inward and downward, or inclined outward and upward and inclined inward and upward.
[0396] Each of the structural units has at least one connecting end in a static connection structure on each connecting axis. The number of connecting ends on each connecting axis may be one or two. Each connecting axis may have at least one connecting end in a corresponding direction, or two connecting ends. The degree to which the connecting ends limit the center position of the main body of the structural unit varies. This increases the number of choices when connecting with other structural units, increases the variability and complexity of the connections between the structural units, and creates more options for connection relationships.
[0397] The static connection structure has two directional ends of the connection axis, and forward or backward connection can be achieved at both directional ends, increasing the feasibility of choosing the connection relationship.
[0398] The angle values of the included angles in the end spaces are either equal to or complementary to the angle values of the corresponding included angles in the static spaces. This is represented by the included angles of the four, two, or one end spaces: cu1u2, cv1u2, cu1v2, and cv1v2.
[0399] cu1u2 = C12, or cu1u2 = 180° - C12, and cu1u2 = cv1v2, cu1u2 = cv1v2. The number of included angles between the end spaces of the two connecting axes increases the feasibility of choosing the connection relationship between the two structural units, and there will always be cu1u2 = C12, or cu1u2 = 180° - C12, and cu1v2 = C12, or cu1v2 = 180° - C12, cv1u2 = C12, or cv1u2 = 180° - C12, cv1v2 = C12, or cv1v2 = 180° - C12.
[0400] A structural unit, characterized in that the angle values of the first tilt angle a1 and the second tilt angle a2 are in the range of: 0° < a1 < 90°, 0° < a2 < 90°.
[0401] The tilt angle is neither 0° nor 90°, ensuring that when two non-parallel, non-overlapping, and non-intersecting connecting axes are connected, the connecting ends in the corresponding static connection structures in each forward or backward direction no longer form a parallel or perpendicular relationship with the XOY coordinate plane of the structural unit. The XOY coordinate plane is a crucial surface for mold production control during the manufacturing of the structural unit, and other characteristics of the structural unit are related to it. When the connecting axis of the connecting end forms two angles with the coordinate plane that are neither parallel nor perpendicular to the XOY coordinate plane, the connecting end is no longer subject to the simplified constraints of the XOY coordinate plane during forward and backward connection loosening and tightening, but rather is limited by the tilt angle. This leads to a more complex and controlled connection process between the two structural units. While not easily detachable, and with limited possible connection directions when tightly connected, the multiple connections between two or more individual units make it easier to control the central position of one of the main components of a single structural unit when only two static axes are inclined relative to each other in the XOY plane. Controlling the central position of one of the main components of a single structural unit can be achieved by having at least two mutually defining, non-parallel, non-coincident, and non-intersecting connecting axes. This control is further strengthened when there are more than two structural units and more than two connecting relationships.
[0402] A structural unit, characterized in that the range of the included projection angle b12 is: 0° < b12 < 180°.
[0403] The connection between the structural units requires at least two connecting axes that are non-parallel, non-coincident, and non-intersecting. The included angle b12 of the projection of each structural unit is between 0° and 180°, ensuring that the connecting axes are non-parallel and non-coincident. Furthermore, at least one connecting end in each of the two connecting parts of the static connection structure will have a center of intersection on the XOY plane projection plane, where the intersection is the corresponding intersection point of the projection axes. The defined angle b12 ensures that the two connecting axes are non-parallel and non-coincident. When two or more structural units are connected in two or more ways, one of the structural units is defined by the connecting ends of the other two connections, thus determining that its main body exists in a specific fixed spatial position, thereby forming a stable connection with a specific spatial structural angular relationship based on the specific angle.
[0404] A structural unit, characterized in that a static space angle C12 is formed between the first static axis and the second static axis, the static space angle C12 having a value range of 0° < C12 ≤ 90°; the tilt angles a1 and a2 having a value range of 0° < a1 < 90°, 0° < a2 < 90°; and the projection angle b12 having a value range of 0° < b12 < 180°.
[0405] When the two static axes of the aforementioned structural unit each have two directional ends, the included angles between the four ends can all be associated with the static space straight angle C12, or the angle values are equal or complementary, and the angle values are complementary to each other.
[0406] Furthermore, the two connecting axes are further limited by the direction of the connecting ends inclined in the XOY plane, and by the factors that they are not parallel and do not coincide when projected onto the coordinate system plane XOY. This further stabilizes and defines the location of the main body of one of the structural units in the connection between the two structural units.
[0407] like Figure 15 As shown in Figure a, a single structural unit has two static axes that are non-parallel, non-coincident, and do not intersect. Taking one of these static axes and forming a corresponding spatial parallel line, a parallel line to the translated static axis intersects the other static axis at a single point. For example... Figure 15 As shown in Figure a, the static axis and the static axis projection axis together form a four-line relationship. The tilt angles one and two, as well as the included angle of the static space and the included angle of the projected influence, form four lines on a tetrahedron of a four-line relationship, as shown in Figure a. Figure 15 As shown in Figure a, the angle of inclination between the parallel line of the static axis and the projection axis is also consistent with the corresponding tilt angle, forming a shape as shown in Figure a. Figure 15 The four-line relationship is shown in b.
[0408] The tilt angles a1, a2, the projected angle b12, the included angles in the end space cu1 and u2, and the included angle in the static space C12 can all be correlated one-to-one. Calculations are then performed based on corresponding mathematical and geometric relationships. From one of these factors, another result can be obtained. For example... Figure 16 As shown, a single structural unit has two non-parallel, non-coincident, and non-intersecting static axes. Each of the two static axes has two ends: static axis one has an end u1, static axis two has an end u2, and each also has an end v1 and an end v2. The four angles of the space between the ends of the two static axes are such that the angle values of any two opposite angles are equal, and the sum of any two adjacent angles is 180°. Figure 16 As shown in b, we have cu1u2 = cv1v2, and cv1u2 = cu1v2. Also, the sum of two adjacent angles is 180°, such as cu1u2 + cu1v2 = 180°, cv1v2 + cv1u2 = 180°, and cu1u2 + cv1u2 = 180°, cv1v2 + cu1v2 = 180°. The relationship between the included angles of the four end spaces and the included angle C12 of the corresponding static axis is as follows: Figure 16 As shown in b. The two stationary axes and the four directional ends are each shown in the figure. Figure 16 b.
[0409] Figure 16 In section b, there is a corresponding static shaft—axis1, which is the first connecting axis of the static connection structure in the corresponding connecting part. See Figure 16 b, axis1 is axis1-1-1, axis2 is axis2-1-1, and axis1-1-1 is the first connecting axis of the static connection structure LJG1-1 in the connecting part LJG1. The entire relationship is that axis1 is and has axis1-1-1, that is, the simplified expression of the relationship between LJG1-LJG1-1-axis1-1-1, axis1-1-1 is axis1, the static axis is axis1-1-1 is simplified to axis1, and has, the corresponding axis2-1-1 is axis2, and axis(n)-1-1 is axis(n). The various corresponding relationships of the static axis will not be pointed out one by one in the following text, and all will be referred to as static axis n, i.e., static axis axis(n). The specific points will be pointed out in different subjects.
[0410] When there are multiple stationary shafts, the corresponding multiple connecting parts are all omitted from the description. There is a one-to-one correspondence between them. They are all described here:
[0411] The static axis 1 indicates that there is a connecting part 1 and a static connecting structure 1 with a connecting part 1. The static axis 1 is the first connecting axis 1-1-1 of the static connecting structure 1 in the connecting part 1.
[0412] The static axis 1 axis2 indicates that there is a second connecting part and a first static connecting structure with the second connecting part. The static axis 1 axis1 is the first connecting axis axis2-1-1 of the first static connecting structure in the first connecting part.
[0413] The static axis 1 indicates that there is a connecting part 3 and a static connecting structure 1 with a connecting part 3. The static axis 1 is the first connecting axis 3-1-1 of the static connecting structure 1 in the connecting part 1.
[0414] The static axis 4 indicates that there is a connecting part 4 and a static connecting structure 1 with a connecting part 4. The static axis 1 is the first connecting axis 4-1-1 of the static connecting structure 1 in the connecting part 1.
[0415] The static axis 5 indicates that there is a connecting part 5 and a static connecting structure 1 with a connecting part 5. The static axis 1 is the first connecting axis 4-1-1 of the static connecting structure 1 in the connecting part 1.
[0416] The static axis 6 indicates that there is a connecting part 5 and a static connecting structure 1 with a connecting part 5. The static axis 1 is the first connecting axis 5-1-1 of the static connecting structure 1 in the connecting part 1.
[0417] The static axis 7 indicates that there is a connecting part 5 and a static connecting structure 1 with a connecting part 5. The static axis 1 is the first connecting axis 7-1-1 of the static connecting structure 1 in the connecting part 1.
[0418] The static axis 8 indicates that there is a connecting part 8 and a static connection structure 1 with a connecting part 8. The static axis 1 is the first connecting axis 8-1-1 of the static connection structure 1 in the connecting part 1.
[0419] Furthermore, when the relationship between two stationary axes is such that each axis has one end with the same or opposite inclination, there will be...
[0420] When the u1 end of static axis one and the u2 end of static axis two have different inclinations, their corresponding inclination angles a1 and a2 are equal, and there is also the corresponding projected angle b12 between the u1 end of static axis one and the u2 end of static axis two [different inclinations] (different inclinations b12), and the magnitude of the angle C12 of the static space formed by these angles [different inclinations].
[0421] and
[0422] When the u1 end of static axis one and the u2 end of static axis two have the same inclination, their corresponding inclination angles a1 and a2 are equal. Furthermore, the included projection angle between the u1 end of static axis one and the u2 end of static axis two is the supplementary angle to the angle b12 when their inclinations are different. That is, the new included projection angle b12 when the inclinations are the same [same inclination], and the resulting static space angle has the same angle value C12 [same inclination].
[0423] The angle values are consistent.
[0424] The contents are as follows: Figure 15 a, Figure 15 b, Figure 16 a.
[0425] That is, if the tilt angle values are a1 = a2 and the inclinations are opposite, and the projected angle is b12 [opposite inclinations], the result is C12 [opposite inclinations]. Simultaneously, if the tilt angle values are a1 = a2 and the inclinations are the same, and the projected angle is b12 [same inclinations], the result is C12 [same inclinations]. Keeping both results unchanged, the angle of the static space angle remains equal, C12 [same inclinations] = C12 [opposite inclinations]. Therefore, it is only necessary to have b12 [same inclinations] + b12 [opposite inclinations] = 180°, allowing for the conversion between same and opposite inclinations. This is equivalent to a spatial translation of one of the static axes. The translation structure transforms the projected angle corresponding to one end of the static axis into the supplementary angle of the original projected angle, thus changing it from same inclination to opposite inclinations, or from opposite inclinations to same inclinations. The details are as follows: Figure 15 a, Figure 15 b, Figure 16 a.
[0426] When there are tilt angles a1 = a2 and their inclinations are opposite, and the projected angle is b12 [opposite inclinations], the resulting static space angle is C12 [opposite inclinations]. To keep the corresponding static space angle values in one direction of the two static axes with opposite tilts constant under the condition that the tilt angles a1 = a2 and their inclinations are the same, it is only necessary to change the projected angle to the supplementary angle of the original opposite inclinations. That is, to make C12 [same inclination] = C12 [opposite inclinations]. Therefore, it is necessary to have b12 [same inclination] = 180° - b12 [opposite inclinations]. The contents are as follows: Figure 15 a, Figure 15 b, Figure 16 a.
[0427] The following instructions will no longer specifically distinguish between similar and dissimilar tendencies; instead, they will use the term "same tendency" to describe the corresponding combination of two different tendencies. This is to ensure concise and fluent writing, clear explanations, and a well-organized structure.
[0428] When the number of static axes increases from exactly two to exactly three, or to exactly four, or five, or six, or to seven, or to eight static axes, the corresponding conversion relationship between any two static axes having the same inclination and the corresponding inclination being different is such that, while keeping the tilt angle values equal and unchanged, and the static space angle unchanged, it is only necessary to change the relevant projection angle to its own supplementary angle.
[0429] A single structural unit, characterized in that the connection method in the static connection structure includes, but is not limited to, slotted snap-fit, X-slotted snap-fit, plug-in, electrostatic adsorption connection, magnetic connection, or a combination of two or more methods.
[0430] The static connection structure has connection ends, which may include identical or different connection ends. Identical connection ends include connection ends that do not distinguish between male and female ends, and also include combinations of connection ends that have both male and female ends. Different connection ends include male or female ends, which are respectively active or passive connections. The male or female ends of the identical connection ends, and the male or female ends of the different connection ends, may be one or a combination of two or more of the following methods: slotted connection, X-slotted connection, plug-in connection, electrostatic adsorption connection, or magnetic connection.
[0431] The connection between the individual units is inclined to the XOY plane, and there is a center of intersection of projections between the projection axes projected onto the XOY plane, each of which has corresponding limitations. Furthermore, there are further limitations in the connection end.
[0432] This further strengthens the stability of the constraint.
[0433] Furthermore, the connection end has corresponding limiting features.
[0434] The static connection structure also includes a connection end, which corresponds to the direction end of the connection axis. The connection axes are non-parallel, non-coincident, and non-intersecting. These two connection relationships can limit the stable space of one main body of the structure, thus forming a characteristic that they cannot be separated at the same time.
[0435] Furthermore, the connecting end in the static connection structure also has a limiting surface and / or limiting line and / or limiting point to further limit the connection relationship.
[0436] One of the aforementioned male and / or female connection ends is a feature in a static connection structure used for connection. The connection end also has a limiting surface and / or limiting line and / or limiting point. Through the limiting surface and / or limiting line and / or limiting point of the static connection structure, the two units can mutually limit each other, forming a connection in which the units can only move forward or backward along the connection axis (including the static axis), and can partially rotate along their respective connection axes with related degrees of freedom, or the units can partially offset to a limited extent relative to the limiting surface and / or limiting line and / or limiting point.
[0437] The two static axes are not parallel, do not coincide, and do not intersect, which can mutually limit two or more connected units. The coordinate system plane XOY plane of the structural unit can be adjusted according to the inclination angle of the limiting surface of the limiting action. The coordinate system plane XOY plane of the structural unit can be used as the parting surface of the mold for mass production of structural units. It can be adjusted to different angles accordingly, making large-scale and low-cost production easy to achieve, thereby effectively reducing production difficulty and controlling production costs in large-scale and low-cost production.
[0438] The limiting surfaces and / or limiting lines and / or limiting points further reinforce the characteristics between two non-parallel, non-coincident, and non-intersecting connecting axes, thus further strengthening the mutual limitation of the connecting relationship in the spatial structure.
[0439] The connecting end has a limiting surface and / or limiting line and / or limiting point. The connecting end may be the same connecting end. The same connecting end includes a connecting end that does not distinguish between a male connecting end and a female connecting end. The male connecting end is a connecting end with active connection characteristics. The female connecting end is a connecting end with passive connection characteristics. The same connecting end also includes a connecting end that has both male and female connection characteristics. The different connecting ends may be either male connecting ends or female connecting ends.
[0440] The male connector has the aforementioned limiting surface and / or limiting line and / or limiting point.
[0441] The connecting female end has the aforementioned limiting surface and / or limiting line and / or limiting point.
[0442] The connection methods include snap-fit connection, plug-in connection, electrostatic adsorption connection, magnetic connection, or a combination of one or two or more of these methods.
[0443] Corresponding to different connection methods, there are snap-fit connections, including straight-slot snap-fit and X-slot snap-fit connections, as well as plug-in connections, and other connection methods. Each of these connection methods has its own limiting features at the connection end.
[0444] The snap-fit connection may be a slotted snap-fit or an X-slot snap-fit. In the slotted snap-fit connection, each connection end has a male connection end and / or a female connection end. In the X-slot snap-fit connection, each connection end has a male connection end and / or a female connection end.
[0445] The male connector of the slotted snap-fit type has a limiting surface and / or limiting line and / or limiting point of the slotted male connector; the female connector of the slotted snap-fit type has a limiting surface and / or limiting line and / or limiting point of the slotted female connector; the male connector of the X-slotted snap-fit type has a limiting surface and / or limiting line and / or limiting point of the X-slotted male connector; and the female connector of the X-slotted snap-fit type has a limiting surface and / or limiting line and / or limiting point of the X-slotted female connector.
[0446] Furthermore, the limiting surface and / or limiting line and / or limiting point can be used to impose corresponding restrictions when connecting the two structural units, so that the structural unit can be stably determined to the next spatial node position by two or more connection relationships.
[0447] Furthermore, when two structural units are connected together, a connection relationship is formed between the corresponding limiting features in the connecting end. This connection relationship includes a static connection structure for each of at least one structural unit. The static connection structures of the two units collectively form a dynamic connection structure. This dynamic connection structure comprises at least one static connection structure for each of the two units. The connecting axes of the two static connection structures in this dynamic connection structure are parallel or coincident, forming a coaxial relationship. This coaxiality ensures that there is at least one dynamic axis in the dynamic connection structure. The dynamic axis is a set of connecting axes of the two static connection structures in the connection relationship; it is both a single axis and a group of axes. The dynamic spatial angle formed between the dynamic axes is similar to the static spatial angle formed between static axes. When the static axis moves parallel in space, the angle value of the corresponding static spatial angle does not change. Similarly, the dynamic axis, acting as a linear axis in a single-unit connection relationship, functions the same as the static axis, and the angle value of the dynamic spatial angle between the corresponding dynamic axes does not change during spatial translation.
[0448] In the connection relationship between the two units, each of the two static connection structures has a corresponding connection end that can move forward or backward with the coaxial moving axis, thereby connecting together or separating.
[0449] A structural unit, characterized in that the structural unit has at least two static axis perpendicular planes, wherein the static axis perpendicular plane is a plane passing through the static axis and perpendicular to the XOY plane, and the included angle between the two static axis perpendicular planes is between 0° and 180° and excluding 0° and 180°, and an included angle is formed between the static axis perpendicular planes of each static axis in a static connection structure of two structural units having a connection relationship.
[0450] The angle between the perpendicular planes of the static axes of the two static axes of the structural unit is called the static perpendicular plane angle. The static perpendicular plane angle corresponds one-to-one with the projected angle of the corresponding static axis.
[0451] When the static connection structure where each of the two individual static axes is located is connected together, the included angle between the included angles of the static axes perpendicular to the static axes of the two connected structural units is called the included angle of the dynamic perpendicular plane.
[0452] Correspondingly, when the static connection structure where each of the two individual static axes is located is connected together, the included angle between the included angles of the static axes perpendicular to the two connected structural units is also the included angle of the dynamic perpendicular plane.
[0453] Furthermore, when the static connection structure containing one static axis of each of the two individual units is connected together, the included angle between the included angles of the static axes perpendicular to the static axes of the two connected structural units is also the included angle of the dynamic perpendicular plane.
[0454] The angle between the moving vertical planes does not vary depending on which connection part the static axis of the unit is in. The moving vertical planes formed are only related to the corresponding static axis vertical plane of the relevant static axis. The angle between the static axis vertical planes of each of the two coaxial static axes is the angle between the moving vertical planes. The angle between the moving vertical planes forms the angle between the two units.
[0455] The angle between the static axis perpendicular plane of each static connection structure in two individual units that have a connection relationship and the static axis perpendicular plane of the static connection structure in another connection part of the same structural unit is called the static vertical plane angle. The static vertical plane angle is the angle between the static axis perpendicular planes of each static axis in the two connection parts of a single unit, and the static vertical plane angle is the angle between the static axes formed within a single unit.
[0456] The angle between the static vertical planes ranges from 0° to 180°, excluding 0° and excluding 180°.
[0457] The angle of the moving vertical plane ranges from 0° to 90°, excluding 0° and including 90°. The angle of the moving vertical plane has two types: clockwise tilt angle and counterclockwise tilt angle. It has directionality, either positive or negative.
[0458] The limiting surface on the connecting end forms a limiting angle with the perpendicular surface of the corresponding stationary axis. The limiting angle causes the corresponding limiting surfaces on the connecting ends of the two structural units to form a limiting relationship combination when they are connected. This combination can be either a limiting surface of one structural unit forming a certain angle between the limiting surface of the corresponding connecting position of the other structural unit, or a surface-to-surface relationship. This limits the angle between the corresponding moving perpendicular surfaces of the corresponding stationary axes in the dynamic connection structure of the two structural units to a specific angle value.
[0459] The angle between the static vertical surfaces varies depending on the XOY plane on which the structural unit is located. The XOY plane has practical uses and significance in actual manufacturing. When the XOY plane is used with machining surfaces, parting surfaces, and various reference surfaces required in manufacturing, it can rotate or parallel in space to a certain degree depending on the purpose of manufacturing and its intended use. This makes manufacturing more convenient, mold making simpler and easier, optimizes costs, and reduces risks.
[0460] When the XOY plane is rotated, or depending on the application, the angle between the static vertical planes of the corresponding static axis vertical planes in the two static connection structures within a single structural unit will change.
[0461] If the limiting features in the corresponding static connection structure of the stationary shaft do not change with the rotation or parallelism of the XOY plane, then the limiting angle of the corresponding limiting surface of the limiting feature at the connection end of the static connection structure in a single unit will change with the limiting inclination angle formed between the limiting features and the vertical plane of the stationary shaft. However, when a connection relationship is formed between two units, the angle of the dynamic vertical plane formed by the mutual limiting of the limiting features at the connection ends of the corresponding static connection structures of the two units will not change with the actual rotation or translation of any of the structural units and the reference XOY plane used in the actual production and manufacturing of the corresponding structural units. The angle of the dynamic vertical plane in a connection relationship between the two units is mainly related to the corresponding combination of the limiting inclination angle of the limiting surface of the limiting feature at the connection end of the corresponding static connection structure.
[0462] Two structural units, each with at least two static axes, each have static axis 1 and static axis 2 of DT1, DT1-axis1, DT1-axis2, and corresponding static axis 1 and static axis 2 of DT2, DT2-axis1, DT2-axis2. The static axes of each unit can be arbitrarily connected to each other to form a connection relationship. The connection relationship has a dynamic connection structure, and the dynamic connection structure has a dynamic axis.
[0463] When each of the aforementioned monomers DT1 and DT2 has one stationary axis forming a connection, each monomer also has one idle stationary axis. There is a dynamic perpendicular angle between the stationary axes forming the connection. The other idle stationary axis, which is not forming a connection, will have a spatial angle between the two idle stationary axes.
[0464] The limiting angles of the corresponding limiting features on the connecting ends of the static connection structure between the two individual units form a combination that directly determines the included angle of the dynamic vertical plane in the dynamic connection structure that forms a connection relationship between the two individual units.
[0465] The limiting angles in the corresponding limiting features at the connecting ends of the static connection structures between the respective individual units can be either fully limiting, partially limiting, or limiting without forming a directly defined fixed value. The angle value of the corresponding dynamic perpendicular plane in the resulting connection relationship will either be a fixed angle value for complete limitation, an angle value with a partially movable range, or an angle value with a larger movable range. The angle value with a larger movable range refers to the entire range of the dynamic perpendicular plane angle, i.e., 0° to 90° (excluding 0° and including 90°).
[0466] like Figure 25 a, Figure 25 b, Figure 25 As shown in Figure c, different connection states will occur when there are different angles between the moving vertical planes.
[0467] like Figure 25 a, Figure 25 b, Figure 25 The connection between the two structural units shown in c, the static axis vertical plane dt2A-surf90-axis1 corresponding to the static axis dt2-axis1 of the single unit DT2, and the static axis vertical plane dt1A-surf90-axis1 corresponding to the static axis dt1-axis1 of the single unit DT1.
[0468] The angle α (surf90-dt12-GZ-a11) between the moving perpendicular planes of the two individual static axes is as follows: Figure 72As shown in position b, the angle of the moving vertical plane ranges from 0° to 90°, excluding 0° and including 90°. When it is 90°, the static vertical planes of the two individual units are perpendicular to each other. Furthermore, the angle of the moving vertical plane may also tilt in the clockwise or counterclockwise direction, that is, the angle of the moving vertical plane has a positive direction or a negative direction, that is, positive or negative.
[0469] That is, the angle α (surf90-dt12-GZ-a11) between the moving vertical planes can be tilted to the left, tilted to the right, or centered.
[0470] When all three figures shown are centered, the angle between the moving vertical planes is 90°.
[0471] When the included angle α(surf90-dt12-GZ-a11) of the moving vertical plane is 90°, as Figure 25 a, Figure 25 b, Figure 25 c, all are 90°, and the limiting surfaces in each connecting end have different limiting tilt angles.
[0472] Meanwhile, due to the different limiting angles, when the corresponding limiting surfaces of the two static axes are in a surface-to-surface limiting combination form, the included angle of the corresponding moving vertical surfaces is variable and can rotate within a certain angular range.
[0473] Further examples include: Figure 72 a, Figure 72 b, and Figure 73 a, Figure 73 b, Figure 73 c.
[0474] like Figure 73 a, Figure 73 b, Figure 73 As shown in c, the two individual constructs form a snap-fit connection.
[0475] When the included angle of the moving vertical plane formed by the snap-fit connection is less than 90°, or is as follows: Figure 73 The tilt to the right shown in a, or as shown in a, is... Figure 73 The tilt to the left, as shown in c, or as... Figure 73 As shown in b, each component has a positive or negative angle between its moving vertical plane. Correspondingly, a spatial angle will also form between the two structural units, unit one and unit two, on their static axis, namely the moving spatial angle dt12-zt11-C22. The magnitude of this moving spatial angle dt12-zt11-C22 varies depending on the magnitude and direction of the moving spatial angle a (surf90-dt12-GZ-a11). Alternatively, it could be as follows: Figure 73 a, or as Figure 73 b, or as follows Figure 73c, the angle values of the included angle dt12-zt11-C22 formed by the activity space are different.
[0476] Furthermore, the connection relationship between the two units is formed between two stationary axes. Then, the included angle dt12-zt11-C22 between each of the two units' stationary axes is 0. When the angle value of the included angle dt12-zt11-C22 is 0, the units one and two can each form a dynamic connection structure between their two stationary axes. There are two dynamic connection structures between the two units, and the two dynamic axes are the same as the two stationary axes.
[0477] At this point, because the orientation and position of each connecting end on the static axis of the two individual units are different, they are adapted to different positions to form an interconnection between the two individual units.
[0478] like Figure 72 In the middle, there is Figure 72 a, Figure 72 As shown in Figure b, there are angles in static space, angles in dynamic space, angles in movable space, angles between static and vertical planes, and angles between dynamic and vertical planes. Briefly explain the relationships between these angles. Figure 72 a, the included angle of the activity space dt12-zt11-C22, is the included angle of the activity space between the static axes of the two idle units when unit one and unit two form a coaxial relationship on the static axis one of each unit and form a connection. Figure 72 b, the angle between the moving perpendicular planes a (surf90-dt12-GZ-a11), is the angle between the moving perpendicular planes of the corresponding static axes of the coaxial fixed axes when a connection is formed between the fixed axes of individual components one and two. Figure 72 b also includes the static axis perpendicular plane of the static axis of monomer DT1, dt1-surf90-1, and the static axis perpendicular plane of the static axis of monomer DT2, dt2-surf90-1. The two monomers form a connection relationship, which includes a dynamic connection structure, active-LJJG1, and a dynamic axis, GZ-axis1. Figure 72 In component b, the static axis of component DT1 has a static axis perpendicular plane dt1-surf90-1, and the static axis of component DT1 has a static axis perpendicular plane dt1-surf90-2. Within component DT1, there is a static perpendicular plane angle C12(dt1-surf90-axis1-axis2), where the magnitude of the static perpendicular plane angle is equal to the magnitude of the projected angle b12. When the XOY plane is ensured to have a stable fixed value C12 during the manufacturing process, if the XOY plane rotates or becomes parallel, the corresponding tilt angles a1, a2, and b12 will change accordingly. However, when the corresponding tilt angles a1, a2, and b12 change, the static space angle C12 will not change with any one of them. Instead, it remains unchanged as a whole, with the static space angle between the two static axes remaining constant. When the XOY plane changes during the reference and manufacturing process, the corresponding tilt angles a1 and a2 will have equal angular values at a certain position on the XOY plane, with a1 = a2.
[0484] Correspondingly,
[0485] This involves the combination of limiting angles of the limiting surfaces in the limiting features of the limiting structures of the two units with a connection relationship, as well as the correspondence of the connection positions. This allows the included angle of the corresponding moving vertical plane in the moving connection structure to be controlled and varied, forming a fixed angle value with specific requirements, an angle value within a certain range, or any angle value within the entire range.
[0486] Correspondingly, when the static shafts of each of the two individual units in the static connection structure are coaxial to form a dynamic shaft, the connection relationship in the corresponding dynamic connection structure may be either positive or negative connection of unit one, and positive or negative connection of unit two. When one of them may be determined as a connection relationship, there is an angle of movement space between the other free static shafts of the two individual units. The angle of movement space depends on the combination of positive or negative connection of the individual units between the two individual units, and also depends on the angle of movement vertical plane in the connection relationship.
[0487] Therefore, it can be seen that the combined effect of the angle between the moving perpendicular planes in any connection relationship between the two units and the choice of whether the units are connected in the correct or reverse direction directly determines the position in which the two units are connected and fixed in space.
[0488] Furthermore, the magnitude of the angle between the dynamic perpendicular planes in any connection relationship between the two units is determined by the corresponding limiting angle of the limiting surface in the limiting feature on the connecting end of the static connection structure of each unit. Similarly, the connecting axis and the limiting feature on the connecting end of the static connection structure of the structural unit jointly determine the possibility of forming a connection relationship between any two units.
[0489] When the angle between the two activity spaces is 0, a reconnection between each of the two individual units can be formed between two free static axes.
[0490] Two individual units can be directly connected in pairs along their two stationary axes to form a single unit.
[0491] The embodiment of the connection between the two moving shafts and the two units is described in the corresponding combination description of the embodiments below.
[0492] Furthermore, the connection between the two units is formed between two stationary axes. Then, the included angle dt12-zt11-C22 between each of the two units' stationary axes is such that when the included angle dt12-zt11-C22 is the corresponding included angle between the two stationary axes of another third unit, the units one and two can each form a dynamic connection structure between their two stationary axes. Each of the two units has another stationary axis that forms two dynamic connection structures with the third unit. The included angle dt12-zt11-C22 between the two units is the included angle between the two stationary axes of the third unit.
[0493] Two individual units, with their respective two stationary axes combined, can be directly connected to each other along their two stationary axes, forming a single unit.
[0494] Furthermore, when two units form a connection, there is a specific angle between their respective idle static axes. When the angle of this angle is the same as the angle between the two static axes of the third unit, unit three can connect the idle static axes of units one and two, which have only one connection, forming a three-connection relationship between the three units, three dynamic connection structures, and correspondingly three dynamic axes and three dynamic space angles between the three dynamic axes.
[0495] The three individual units can be connected to form a whole, and because there are three moving shafts, three moving connection structures, and the moving space angle between each of the three moving shafts, the moving space angle between the two stationary shafts of the corresponding individual unit is the stationary space angle between the two stationary shafts of the individual unit.
[0496] The embodiment of the connection between the three moving shafts and the three individual units is described in the corresponding combination description of the embodiment below.
[0497] Furthermore, there is the connection between the four moving shafts of the four units.
[0498] In addition, there are four connections between four units, five connections between five units, and six connections between six units. The corresponding four-unit and six-unit connections are explained in the embodiments below.
[0499] Further details regarding the various connection points are provided.
[0500] In the static connection structure of each of the connected structural units, there are limiting surfaces and / or limiting lines and / or limiting points at the connecting ends. The limiting surfaces have a limiting angle with respect to the perpendicular plane of the static axis. This limiting angle causes the connection between the two units to be tilted at a certain angle for limiting connection. The angle value of the limiting angle ranges from 0° to 90°, and is not 0°. The maximum angle value is 90°. The limiting angle can be a clockwise or counterclockwise tilt. Each of the two static connection structures connecting the two units... In a static connection structure, the limiting surfaces are flat against each other, so that the two units form a dynamic vertical angle between each static axis vertical plane in the dynamic connection structure. The angle value of the dynamic vertical angle is between 0° and 90°, and is not 0°. The maximum angle value of the dynamic vertical angle is 90°. The dynamic connection structure includes a static connection structure for each of the two units connected together. The corresponding connecting axes of the two static connection structures are parallel or coincident. The intersection of the static axis vertical planes is the dynamic axis, and the dynamic axis is parallel or coincident with the corresponding static axis.
[0501] Two structural units are connected to form a connection relationship. In this connection relationship, at least two structural units are involved, and at least two static connection structures are connected together. The two static connection structures that form a common connection are collectively referred to as a dynamic connection structure. The dynamic connection structure is a collection of two static connection structures connected together. The dynamic connection structure has at least one moving axis. The moving axis indicates that the static axes in each of the two static connection structures of the two connected units are parallel or coincident. The moving axis defines the direction of movement in the direction of strengthening or loosening the connection between the two connected structural units as the forward or backward direction of the same connection axis.
[0502] There will be a moving vertical plane angle between the two connected static vertical planes. The angle value of the moving vertical plane angle is determined by the limiting surface and / or limiting line and / or limiting point on the corresponding connection end in the static connection structure where the corresponding static vertical plane is located, so as to achieve a limited fit.
[0503] Further explanation of various limiting features,
[0504] When the corresponding limiting surfaces and / or limiting lines and / or limiting points of the male and / or female ends of each connection method form a connection relationship between two structural units, the limiting inclination angles of the corresponding limiting surfaces of each static connection structure in the dynamic connection structure form a certain angle of contact or direct surface contact, thereby specifying the dynamic vertical plane angle between the static axis vertical planes corresponding to the static axis of each of the two static connection structures in the dynamic connection structure relationship into a specific angle value.
[0505] The combination of limiting inclination angles at the connecting ends of the corresponding static connection structures of two interconnected structural units determines their relative positions in the spatial structure directly through a single connection, placing them at a specific node. The range of their rotational angles along the moving axis is further limited.
[0506] The aforementioned angle between the moving vertical plane and the aforementioned angle between the stationary vertical plane can both define the node position of a structural unit in a spatial structural structure, as well as the limited degree to which it can move or rotate.
[0507] Two non-parallel, non-coincident, and non-intersecting static axes represent the minimum requirement for a single structural unit to be confined to a specific node position within a spatial structural structure during connection. The structural unit relies on a combination of tilt angles and projected angles, along with the practical application of the XOY plane in actual production. This allows for the simultaneous and coordinated achievement of specific technical requirements and clear objectives for various manufacturing elements, resulting in a combination that satisfies both requirements. This solves the difficulty of simultaneously achieving specific functional objectives and manufacturing processes in production, a challenge that cannot be addressed in existing technologies, offering simplicity, convenience, and cost optimization.
[0508] A dynamic connection structure defines the coaxial relationship of one static axis in each of two static connection structures that share a connection relationship. Coaxiality means that the static axes of the two individual units connected together are parallel or coincident. Two coaxial static axes form a combination of static axes, i.e., a dynamic axis. Each of the two static axes in the dynamic connection structure has one or two directional ends on the connecting axis, and each directional end has a corresponding connecting end. The limiting surfaces of each connecting end in the two static connection structures are combined to determine the range or specific angle of rotation of each of the two connected structural units along its own connecting axis. The perpendicular planes of the two corresponding static axes between the two connected structural units form an angle between the perpendicular planes of the static axes. The intersection line between the perpendicular planes of the static axes is the dynamic axis, which is parallel or coincident with each of the static axes.
[0509] The angle between the moving vertical plane has a range of angle values, from 0° to 90° (excluding 0° and including 90°), and is not 0°, with a maximum value of 90°. It has a positive rotation direction, either positive or negative. Positive rotation is the angle between the planes corresponding to counterclockwise rotation, while negative rotation is clockwise rotation.
[0510] Each of the two structural units has at least two static axes. The two structural units form a connection relationship, and each has a static axis that forms a coaxial structure, together constructing a dynamic axis. The static connection structures of the two structural units that have a connection relationship together form a dynamic connection structure. The included angle of the dynamic perpendicular plane in the dynamic connection structure has a range of angle values.
[0511] When two structural units form a connection, a spatial angle is also formed between the other static axes of the two structural units. This spatial angle is called the movable spatial angle. The angle value of the movable spatial angle between the two structural units is directly related to the angle between the moving vertical planes of the two structural units.
[0512] The angle between the dynamic vertical planes of two structural units that are connected directly determines the spatial relative node positions of the two structural units, and the spatial angular relationships between their corresponding other static axes are also determined.
[0513] When the included angle of the moving vertical plane is formed by the limiting features on the corresponding connecting ends of each structural unit to form a limiting combination, and the angle value of the included angle of the moving vertical plane is determined to be a specific value, then the spatial angle relationship between the other static axes of the two corresponding structural units is also determined one by one.
[0514] Further, a detailed explanation of the values of various static spatial angles is provided.
[0515] A structural unit, wherein the angle C12 of the static space is any angle value from the angle value list one, or 90°, wherein the overall expression is 0°<C12≤90°.
[0516] The first list of angle values is as follows:
[0517] 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or
[0518] 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or 51.8849°, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 5 4.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 76.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3678°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°.
[0519] The tangent values corresponding to each angle value in the angle value list one are as follows:
[0520] The tangent value is 9.7356°. The tangent value is 10.8123°. The tangent value is 12.0475°. The tangent value is 13.2826°. 15° tangent value It is also π / 12, and the tangent value is 16.7786°. The tangent value is 17.6322°. 18° tangent value It is also π / 10, the tangent value of 18.4349° is 1 / 3, and the tangent value of 19.4712° is... The tangent value is 20.9051°. Tangent value The tangent value is 24.0949°. The tangent value of 26.5651° is 1 / 2, and the tangent value of 28.2213° is... 30° tangent value The tangent value is 31.7175°. The tangent value is 33.5573°. The tangent value is 35.2644°. 36° tangent value The tangent of 36.8698° and 36.8696° are both calculated using different methods, resulting in different precision values, but they represent the same angle value. The tangent of 37.3774° is... The tangent value is 37.9525°. The tangent value is 38.9424°. The tangent value is 41.8103°. The tangent value at 45° is 1, and the tangent value at 48.1897° is... The tangent value is 51.0576°. The tangent value is 52.6226°. The tangent value for 53.1302° and 53.1304° is 4 / 3. They are calculated using different methods, resulting in different precision values. The tangent value for 54° is... It is also 3π / 10, and the tangent value is 54.7356°. The tangent value is 56.4427°. The tangent value is 57.0475°. The tangent value is 58.2825°. 60° tangent value The tangent value is 61.7786°. The tangent value for 63.4349° is 2, and the tangent value for 65.9051° is... The tangent value is 67.5°. The tangent value is 69.0948°. The tangent value is 70.5288°. The tangent value at 71.5651° is 3, and the tangent value at 72° is... The tangent value is 72.3678°. The tangent value is 73.2213°. 75° tangent value The tangent value is 76.7174°. The tangent value is 77.9525°. The tangent value is 79.1877°. The tangent value is 80.2644°.
[0521] The angles corresponding to each angle value in the angle value list one, as well as some of the semi-complementary angles, some of the complementary angles, and some of the excess angles, are also in the angle value list one.
[0522] Furthermore, the angle value of the static space angle may be 90° or any angle value in the angle value list one. Each angle value in the angle value list one corresponds to the line-to-line angle relationship between the edges forming the regular polyhedron, or the line-to-plane relationship between each edge and each face, or the face-to-face angle relationship between each face, as well as the line-to-line angle relationship between the edges of each bisector of the regular polyhedron, or the line-to-plane relationship between each edge and each face, or the face-to-face angle relationship between each face, and the corresponding line-to-line angle relationship, line-to-plane angle relationship, and face-to-face angle relationship between different regular polyhedra when they are combined in a certain way, and between different bisectors of the regular polyhedron, etc., and so on.
[0523] When the aforementioned structural unit matches one angle of each of the aforementioned line-to-line angle, line-to-plane angle, or plane-to-plane angle relationships, and the structural unit is connected in the spatial structure to form one or more connection relationships, then the corresponding structure...
[0524] A structural unit, wherein the angle values of inclination angle 1 a1 and inclination angle 2 a2 are as follows: wherein the angle value of inclination angle 1 a1 is any angle value in angle value list 1, and the angle value of inclination angle 2 a2 is any angle value in angle value list 1, wherein the overall representation is 0° < a1 < 90°, 0° < a2 < 90°.
[0525] The aforementioned tilt angle one and tilt angle two each have a special tilt angle value, which can respectively correspond to the line-line angle relationship and / or line-plane angle relationship and / or plane-plane angle relationship of different regular polyhedra and the regular polyhedrons.
[0526] The line-to-line angle relationship and / or line-to-plane angle relationship and / or plane-to-plane angle relationship of each regular polyhedron and its equal division are the line-to-line angle relationship, line-to-plane angle relationship and plane-to-plane angle relationship described by the aforementioned static space included angle value.
[0527] A structural unit wherein the angle values of inclination angle 1 a1 and inclination angle 2 a2 are equal, a1 = a2.
[0528] The angles of inclination angle one and inclination angle two are equal in magnitude, which makes the relationship between the two static axes of the structural unit such that the XOY plane is symmetrical, or the YOZ plane is symmetrical, or the symmetry has a certain transformation relationship with both the XOY plane and the YOZ plane.
[0529] The connecting ends of each stationary shaft forming the two inclination angles can form inclination combinations that are either in the same direction or in different directions. That is, they can both incline outward and downward, or both incline outward and upward, or they can be interleaved, etc.
[0530] For various combinations with similar or dissimilar tendencies, see the specific combinations with similar or dissimilar tendencies when each connection end has a u1 end or a v1 end.
[0531] Furthermore, detailed explanations of the various projection angle values are provided below.
[0532] A single structural unit, wherein the angle value of the projected included angle b12 is: any angle value in the first list of angle values, or 90°, or any angle value in the second list of angle values, wherein the overall value is represented as 0° < b12 < 180°.
[0533] The second list of angle values is as follows:
[0534] 109.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 105°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 110.9051°, or 112.5°, or 114.0949°, or 116.5651° °, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.8698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 13 5°, or 138.1897°, or 141.0596°, or 141.8849°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 15 5.9051°, or 157.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°.
[0535] The tangent values corresponding to each angle value in the angle value list two are as follows:
[0536] The tangent value is 109.7356°. The tangent value is 100.8123°. The tangent value is 102.0475°. The tangent value is 103.2826°. 105° tangent value The tangent value is 106.7786°. The tangent value is 107.6322°. 108° tangent value The tangent value at 108.4349° is -3, and the tangent value at 109.4712° is... The tangent value is 110.9051°. The tangent value is 112.5°. The tangent value is 114.0949°. The tangent value at 116.5651° is -2, and the tangent value at 117.3768° is... The tangent value is 118.2213°. 120° tangent value The tangent value is 121.7175°. The tangent value is 123.5573°. The tangent value is 125.2644°. 126° tangent value The tangent values for 126.8698° and 126.8696° are both -4 / 3. They are calculated using different methods, resulting in different precision values. The tangent value for 127.3774° is... The tangent value is 127.9525°. The tangent value is 128.9424°. The tangent value is 131.8103°. The tangent value at 135° is -1, and the tangent value at 138.1897° is... The tangent value is 141.0596°. The tangent value is 142.6226°. The tangent value for 143.1302° is -3 / 4, and the tangent value for 143.1304° is also -3 / 4. These are calculated using different methods, resulting in different precision values. The tangent value for 144° is... The tangent value is 144.7356°. The tangent value is 146.4427°. 148.2825° Tangent value Tangent value 150° tangent value The tangent value is 152.6372°. The tangent value for 153.4349° is -1 / 2, and the tangent value for 155.9051° is... The tangent value is 157.5°. The tangent value is 159.0948°. The tangent value is 160.5288°. The tangent value of 161.5651° is -1 / 3, and the tangent value of 162° is... The tangent value is 162.3768°. The tangent value is 163.2213°. 165° tangent value The tangent value is 166.7174°. The tangent value is 167.9525°. The tangent value is 167.9525°. The tangent value is 169.1877°. The tangent value is 170.2644°.
[0537] Each angle value in the second angle value list is the supplementary angle of each angle value in the first angle value list. At the same time, each angle value in the second angle value list is the co-rotation angle of each angle value in the first angle value list. Also, some angle values in the second angle value list have half co-rotation angles, over co-rotation angles, half co-rotation angles, over co-rotation angles, and some half angles and half half angles in the first angle value list. The two angle value lists have some correlation and correspondence.
[0538] The two static axes, one projected onto the XOY plane, intersect and have a center of intersection. Similarly, the relationship between the two static axes of the structural unit can be such that the XOY plane is symmetrical, or it is symmetrical with the YOZ plane, or it has a certain transformation relationship with both the XOY plane and the YOZ plane.
[0539] The angles between the specific projection axes, i.e. the specific angle values of the projection angles, can correspond to the line-to-line angle relationships and / or line-to-plane angle relationships and / or plane-to-plane angle relationships of different regular polyhedra and the equal parts of regular polyhedra.
[0540] The line-to-line angle relationship and / or line-to-plane angle relationship and / or plane-to-plane angle relationship of each regular polyhedron and its equal division are the line-to-line angle relationship, line-to-plane angle relationship and plane-to-plane angle relationship described by the aforementioned static space included angle value.
[0541] The projection angles formed by the connecting ends of each of the two static axes can be either of the same or opposite inclination. That is, they can be simultaneously tilted outward and downward, or simultaneously tilted outward and upward, or combinations of these angles that intersect. For further examples of various combinations of the same or opposite inclinations, see the specific combinations of the same and opposite inclinations when each connecting end has either end u1 or end v1.
[0542] The two static axes are not parallel, do not coincide, and do not intersect. This is different from the nodes of common edges or common faces of regular polyhedra or the equal parts of regular polyhedra in reality. This allows the structural unit to rely on the direction of the line-to-line angle relationship, line-to-plane angle relationship, or plane-to-plane angle relationship of each special angle value. At the same time, the corresponding limiting features of each connecting end can be used to form a specific and stable dynamic vertical plane angle. Thus, the dynamic spatial angle of the static axes between the other units of the two interconnected structural units is also specified accordingly, thereby forming a direction corresponding to the line-to-line angle relationship, line-to-plane angle relationship, or plane-to-plane angle relationship, and at the same time, it is stably determined at the corresponding spatial node position.
[0543] Furthermore, an explanation of the combinations of various projection angles and static space angles is provided.
[0544] A structural unit wherein the angle values of inclination angle 1 a1 and inclination angle 2 a2 are equal, wherein the equal angle values of inclination angle 1 a1 and inclination angle 2 a2 are any angle values in angle value list 1, and the angle value of C12 is any angle value in angle value list 1, or 90°.
[0545] The tilt angle and the static space angle together determine a corresponding projection angle. The determined projection angle can then form the line-to-line angle relationship, line-to-plane angle relationship, or plane-to-plane angle relationship corresponding to each of the aforementioned regular polyhedra and the equal-divided regular polyhedra.
[0546] A structural unit wherein the angle value of b12 is: any angle value in angle value list one, or 90°, or any angle value in angle value list two, and the angle value of C12 is: any angle value in angle value list one, or 90°.
[0547] The projected angle and the static space angle together determine a corresponding combination of tilt angles. This determined combination of tilt angles includes tilt angle one and tilt angle two. The angle values of tilt angle one and tilt angle two may be equal or unequal, and their respective connecting ends on the connecting axis may have the same or opposite inclinations.
[0548] The projection angle and the static space angle determine the corresponding tilt angle combination. The tilt angle one and tilt angle two in the tilt angle combination can form the line-line angle relationship, line-plane angle relationship or plane-plane angle relationship corresponding to each of the aforementioned regular polyhedra and the regular polyhedron.
[0549] A structural unit wherein the angle values of inclination angle 1 a1 and inclination angle 2 a2 are equal, wherein the equal angle values are any angle value in angle value list 1, and the angle value of the projected included angle b12 is any angle value in angle value list 1, or 90°, or any angle value in angle value list 2.
[0550] The inclination directions between one end of the stationary shaft one and one end of the stationary shaft two may be the same or opposite.
[0551] The static shaft one and static shaft two have the same inclination, meaning that the u1 end of static shaft one axis1 and the u2 end of static shaft two axis2 have the same inclination.
[0552] The inclinations of the first and second static axes are different, which is because the inclinations of the u1 end of the first static axis and the u2 end of the second static axis are different.
[0553] The relationship between the included angle cu1u2 at the ends of stationary axis 1 and stationary axis 2, and the included angle C12 in the static space is as follows: when the included angle cu1u2 is less than or equal to 90°, C12 = cu1u2; when the included angle cu1u2 is greater than 90°, C12 = 180° - cu1u2.
[0554] The combination of the aforementioned tilt angle one and tilt angle two with the projected angle can determine a specific static space angle between the two corresponding static axes. There is at least one end space angle corresponding to the static space angle. When only one connecting end corresponds to the direction end of connecting axis one, static axis one has end u1, and static axis two has end u2, the corresponding static space angle C12 has at least one end space angle cu1u2 associated with it, either the two angles are equal in value or complementary.
[0555] The angles of inclination angle one and inclination angle two are equal in magnitude and have the same or different inclinations.
[0556] The angle values of inclination angle one and inclination angle two are any angle values in angle value list one.
[0557] The angle value of the projection angle can be any angle value in the angle value list one, or 90 degrees, or any angle value in the angle value list two, thus determining a specific corresponding static space angle value C12 between static axis one and static axis two, and the corresponding end space angle value cu1u2.
[0558] The various angle combinations described above can form a variety of unique structural units.
[0559] These are the embodiments with exactly two stationary axes described below. See the embodiments based on exactly two stationary axes described below.
[0560] Furthermore, the construction of a single unit with two stationary shafts will be described, as well as the addition of one or more dial shafts.
[0561] Furthermore, there is a single structural unit with exactly three static axes on its main body.
[0562] The structural unit with only three static axes has one more static axis compared to the structural unit with only two static axes.
[0563] The aforementioned structural unit comprises at least one first main body, which has exactly three static axes and exactly three corresponding connecting parts. At least two of the three static axes are non-parallel, non-coincident, and non-intersecting. Of the three consecutive static space angles C12, C23, and C13 of the three static axes, at least one corresponds to the static space angle C12 between the aforementioned two non-parallel, non-coincident, and non-intersecting static axes. The angle values are not 0° and the corresponding projected angle b12 is not 180°. The structural unit may have three consecutive static space angles C12, C23, C13, where the angle values are either all equal, partially equal, or unequal. Furthermore, the three tilt angles a1, a2, a3 may have angle values that are either all equal, partially equal, or unequal. Alternatively, the three consecutive projected angles may have angle values that are either all equal, partially equal, or unequal.
[0564] The angle values of the static space angles, which may be all equal, partially equal, or unequal, range from 0° to 90° and include both 0° and 90°. Among the multiple consecutive static space angles, at least one static space angle has an angle value that is not 0°, expressed as 0°<C12≤90°, 0°≤C23≤90°, 0°≤C13≤90°.
[0565] The range of angle values for each tilt angle, which may be completely equal, partially equal, or unequal, is from 0° to 90°, excluding 0° and excluding 90°, expressed as 0° < a1 < 90°, 0° < a2 < 90°, 0° < a3 < 90°.
[0566] The angle value range of each projected angle, which may be completely equal, partially equal, or unequal, is 0° to 180°, excluding 0° and including 180°. Among the multiple consecutive projected angles, at least one of the projected angles has an angle value that is not 0°, expressed as 0° < b12 < 180°, 0° < b23 ≤ 180°, 0° < b13 ≤ 180°.
[0567] Furthermore, the angle values of the included angles of the static spaces, which may be all equal, partially equal, or unequal, are any angle value in the angle value list one, or 90°, or 0°, and the included angle value of the static space of at least two of the three axes in the angle value range is not 0°.
[0568] Furthermore, the angle values of each tilt angle, which may be all equal, partially equal, or unequal, are any angle value in the angle value list one.
[0569] Furthermore, the range of angle values for each projection angle that is either completely equal, partially equal, or unequal is any angle value in angle value list one, or 90°, or any angle value in angle value list two, and the angle value of projection angles that have an alternating order is 180°.
[0570] Alternatively, a single structural unit with only three static axes on its main body may have two or more static connection structures on each of its three connecting parts. The number of static connection structures on each connecting part may be equal or unequal. The whole may be a regular triangle or a twisted triangle.
[0571] The aforementioned three static axes of the structural unit further increase the variability of the structural unit.
[0572] When forming various combinations of connections, the structural unit can further determine the stability of its spatial nodes in the structural structure when forming the line-to-line angle relationship, line-to-plane angle combination relationship, or plane-to-plane angle combination relationship between each edge and each face of a regular polyhedron and / or an equal division of a regular polyhedron.
[0573] Furthermore, there is a single structural unit with exactly four static axes on its main body.
[0574] The structural unit with only four static axes has one more static axis compared to the structural unit with only three static axes.
[0575] The aforementioned structural unit has at least one first main body, which has one and only four static axes and one and only four corresponding connecting parts. At least two of the four static axes are not parallel, do not coincide, and do not intersect. Among the four consecutive static spatial angles C12, C23, C34, and C14 of the four static axes, at least one angle value corresponding to the static spatial angle C12 between the aforementioned two non-parallel, non-coincident, and non-intersecting static axes is not 0° and the projected angle is not 180°. The structural unit may have four consecutive static spatial angles C12, C23, C34, and C14 whose angle values are either all equal, partially equal, or unequal. It may also have four tilt angles a1, a2, a3, and a4 whose angle values are either all equal, partially equal, or unequal. Alternatively, it may have four consecutive projected angles whose angle values are either all equal, partially equal, or unequal.
[0576] The angle values of the static space angles, which may be all equal, partially equal, or unequal, range from 0° to 90°, excluding 0° and including 90°. Among the multiple consecutive static space angles, at least one static space angle has a non-0° value, expressed as: 0°<C12≤90°, 0°≤C23≤90°, 0°≤C34≤90°, 0°≤C14≤90°.
[0577] The range of angle values for each tilt angle, which may be completely equal, partially equal, or unequal, is from 0° to 90°, excluding 0° and excluding 90°, expressed as 0° < a1 < 90°, 0° < a2 < 90°, 0° < a3 < 90°, 0° < a4 < 90°.
[0578] The angle range of each projected angle, which may be completely equal, partially equal, or unequal, is 0° to 180°, excluding 0° and including 180°. Among the multiple consecutive projected angles, at least one of the projected angles has an angle value that is not 0°, expressed as 0° < b12 < 180°, 0° < b23 ≤ 180°, 0° < b34 ≤ 180°, 0° < b14 ≤ 180°.
[0579] Furthermore, the angle values of the included angles of the static spaces, which may be all equal, partially equal, or unequal, are any angle value in the angle value list one, or 90°, or 0°, and the included angle value of the static space of at least two of the three axes in the angle value range is not 0°.
[0580] Furthermore, the angle values of each tilt angle, which may be all equal, partially equal, or unequal, are any angle value in the angle value list one.
[0581] Furthermore, the range of angle values for each projection angle that is either completely equal, partially equal, or unequal is any angle value in angle value list one, or 90°, or any angle value in angle value list two, and the angle value of projection angles that have an alternating order is 180°.
[0582] Alternatively, a single structural unit with one and only four static axes on a main body may have two or more static connection structures on each of the four corresponding connecting parts. The number of static connection structures on each connecting part may be equal or unequal. The whole may be a regular quadrilateral or a twisted quadrilateral.
[0583] The aforementioned structural unit with only four static axes further increases the variability of the structural unit.
[0584] When forming various combinations of connections, the structural unit can further determine the stability of its spatial nodes in the structural structure when forming the line-to-line angle relationship, line-to-plane angle combination relationship, or plane-to-plane angle combination relationship between each edge and each face of a regular polyhedron and / or an equal division of a regular polyhedron.
[0585] Furthermore, there is a single structural unit with exactly five static axes on its main body.
[0586] The structural unit with only five static axes has one more static axis compared to the structural unit with only four static axes.
[0587] The aforementioned structural unit comprises at least one first main body, which has exactly five stationary axes and exactly five corresponding connecting parts. At least two of the five stationary axes are non-parallel, non-coincident, and non-intersecting. Of the five consecutive static spatial angles C12, C23, C34, C45, and C15 of the five stationary axes, at least one corresponds to the angle C12 between the aforementioned two non-parallel, non-coincident, and non-intersecting stationary axes. The angle is 0°, and the corresponding projected angle b12 is not 180°. The angle values of the five consecutive static space angles C12, C23, C34, C45, C15 of the single structure are either all equal, partially equal, or unequal. Also, the angle values of the five tilt angles a1, a2, a3 are either all equal, partially equal, or unequal. The angle values of the five consecutive projected angles are either all equal, partially equal, or unequal.
[0588] The range of angle values for the static space angles, which may be all equal, partially equal, or unequal, is 0° to 90° and includes both 0° and 90°. Among the multiple consecutive static space angles, at least one static space angle has a non-zero angle value, expressed as: 0°<C12≤90°, 0°≤C23≤90°, 0°≤C34≤90°, 0°≤C45≤90°, 0°≤C15≤90°.
[0589] The range of angle values for each tilt angle, which may be all equal, partially equal, or unequal, is from 0° to 90°, excluding 0° and excluding 90°, expressed as 0° < a1 < 90°, 0° < a2 < 90°, 0° < a3 < 90°, 0° < a4 < 90°, 0° < a5 < 90°.
[0590] The range of angle values for each projected angle, which may be completely equal, partially equal, or unequal, is from 0° to 180°, including but not including 0°. Among multiple consecutive projected angles, at least one projected angle has a non-zero angle value, expressed as: 0° < b12 < 180°, 0° < b23 ≤ 180°, 0° < b34 ≤ 180°, 0° < b45 ≤ 180°, 0° < b15 ≤ 180°.
[0591] Furthermore, the angle values of the included angles of the static spaces, which may be all equal, partially equal, or unequal, are any angle value in the angle value list one, or 90°, or 0°, and the included angle value of the static space of at least two of the three axes in the angle value range is not 0°.
[0592] Furthermore, the angle values of each tilt angle, which may be all equal, partially equal, or unequal, are any angle value in the angle value list one.
[0593] Furthermore, the range of angle values for each projection angle that is either completely equal, partially equal, or unequal is any angle value in angle value list one, or 90°, or any angle value in angle value list two, and the angle value of projection angles that have an alternating order is 180°.
[0594] Alternatively, a single structural unit with one and only five static axes may have two or more static connection structures on each of the five corresponding connecting parts. The number of static connection structures on each connecting part may be equal or unequal. The whole may be a regular pentagon or a twisted pentagon.
[0595] The aforementioned structural unit with only five static axes further increases the variability of the structural unit.
[0596] When forming various combinations of connections, the structural unit can further determine the stability of its spatial nodes in the structural structure when forming the line-to-line angle relationship, line-to-plane angle combination relationship, or plane-to-plane angle combination relationship between each edge and each face of a regular polyhedron and / or an equal division of a regular polyhedron.
[0597] Furthermore, there is a single structural unit with exactly six static axes on its main body.
[0598] The structural unit with only six static axes has one more static axis compared to the structural unit with only five static axes.
[0599] The aforementioned structural unit comprises at least one first main body, which has exactly six static axes and exactly six corresponding connecting parts. At least two of the six static axes are non-parallel, non-coincident, and non-intersecting. Of the six consecutive static spatial angles C12, C23, C34, C45, C56, and C16 of the six static axes, at least one angle value corresponding to the static spatial angle C12 of the aforementioned two non-parallel, non-coincident, and non-intersecting static axes is not 0°. The corresponding projection angle b12 is not 180°. The single structure may have six consecutive static space angles C12, C23, C34, C45, C56, C16, the angle values of which may be all equal, partially equal, or unequal. Also, the six tilt angles a1, a2, a3, a4, a5, a6 may have angle values of which may be all equal, partially equal, or unequal.
[0600] The range of angle values for the static space angles, which may be all equal, partially equal, or unequal, is 0° to 90° and includes both 0° and 90°. Among the multiple consecutive static space angles, at least one static space angle has a non-zero angle value, expressed as: 0° < C12 ≤ 90°, 0° ≤ C23 ≤ 90°, 0° ≤ C34 ≤ 90°, 0° ≤ C45 ≤ 90°, 0° ≤ C56 ≤ 90°, 0° ≤ C16 ≤ 90°.
[0601] The range of angle values for each tilt angle, which may be completely equal, partially equal, or unequal, is from 0° to 90°, excluding 0° and excluding 90°, expressed as: 0° < a1 < 90°, 0° < a2 < 90°, 0° < a3 < 90°, 0° < a4 < 90°, 0° < a4 < 90°, 0° < a5 < 90°, 0° < a6 < 90°.
[0602] The range of angle values for each of the projected angles, which may be all equal, partially equal, or unequal, is 0° to 180°, excluding 0° and including 180°. Among a plurality of consecutive projected angles, at least one of the projected angles has an angle value that is not 0°, expressed as follows: 0° < b12 < 180°, 0° < b23 ≤ 180°, 0° < b34 ≤ 180°, 0° < b45 < 180°, 0° < b56 ≤ 180°, 0° < b16 ≤ 180°.
[0603] Furthermore, the angle values of the included angles of the static spaces, which may be all equal, partially equal, or unequal, are any angle value in the angle value list one, or 90°, or 0°, and the included angle value of the static space of at least two of the three axes in the angle value range is not 0°.
[0604] Furthermore, the angle values of each tilt angle, which may be all equal, partially equal, or unequal, are any angle value in the angle value list one.
[0605] Furthermore, the range of angle values for each projection angle that is either completely equal, partially equal, or unequal is any angle value in angle value list one, or 90°, or any angle value in angle value list two, and the angle value of projection angles that have an alternating order is 180°.
[0606] Alternatively, a single structural unit with exactly six static axes on its main body may have six corresponding connecting parts, each with two or more static connection structures. The number of static connection structures on each connecting part may be equal or unequal. The whole may be a regular hexagon, a twisted hexagon, or an scalene hexagon.
[0607] The aforementioned structural unit with only six static axes further increases the variability of the structural unit.
[0608] When forming various combinations of connections, the structural unit can further determine the stability of its spatial nodes in the structural structure when forming the line-to-line angle relationship, line-to-plane angle combination relationship, or plane-to-plane angle combination relationship between each edge and each face of a regular polyhedron and / or an equal division of a regular polyhedron.
[0609] Furthermore, there is a single structural unit with exactly eight static axes.
[0610] The structural unit with only eight static axes has two more static axes compared to the structural unit with only six static axes.
[0611] The aforementioned structural unit shall have at least one first main body, the first main body having exactly eight stationary axes and exactly eight corresponding connecting parts, and at least two of the eight stationary axes being non-parallel, non-overlapping, and non-intersecting with each other. Of the eight consecutive static spatial angles C12, C23, C34, C45, C56, C67, C78, and C18 of the eight static axes, at least one has an angle value of not 0° corresponding to the static spatial angle C12 between two non-parallel, non-coincident, and non-intersecting static axes, and the corresponding projected angle b12 is not 180°. The single structure may have eight consecutive static spatial angles C12, C23, C34, C45, C56, C67, C78, and C18 whose angle values are either all equal, partially equal, or unequal. Also, the eight tilt angles a1, a2, a3, a4, a5, a6, a7, and a8 may have angle values that are either all equal, partially equal, or unequal, or the eight consecutive projected angles may have angle values that are either all equal, partially equal, or unequal.
[0612] The range of angle values for the static space angles, which may be all equal, partially equal, or unequal, is 0° to 90°, including both 0° and 90°. Among the multiple consecutive static space angles, at least one static space angle has a non-zero angle value, expressed as: 0° < C12 ≤ 90°, 0° ≤ C23 ≤ 90°, 0° ≤ C34 ≤ 90°, 0° ≤ C45 ≤ 90°, 0° ≤ C56 ≤ 90°, 0° ≤ C16 ≤ 90°, 0° ≤ C67 ≤ 90°, 0° ≤ C78 ≤ 90°, 0° ≤ C18 ≤ 90°.
[0613] The range of angle values for each tilt angle, which may be completely equal, partially equal, or unequal, is from 0° to 90° and includes both 0° and 90°, expressed as: 0° < a1 < 90°, 0° < a2 < 90°, 0° < a3 < 90°, 0° < a4 < 90°, 0° < a5 < 90°, 0° < a6 < 90°, 0° < a7 < 90°, 0° < a8 < 90°.
[0614] The range of angle values for each of the projected angles, which may be all equal, partially equal, or unequal, is from 0° to 180°, including both 0° and 180°. Among the multiple consecutive projected angles, at least one of the projected angles has an angle value that is not 0°, expressed as follows: 0° < b12 < 180°, 0° < b23 ≤ 180°, 0° < b34 ≤ 180°, 0° < b45 < 180°, 0° < b56 ≤ 180°, 0° < b67 ≤ 180°, 0° < b78 < 180°, 0° < b18 ≤ 180°.
[0615] Furthermore, the angle values of the included angles of the static spaces, which may be completely equal, partially equal, or unequal, are any angle value in the angle value list one, or 90°, or 0°. In the range of angle values, at least two of the three axes have a static space included angle value that is not 0°.
[0616] Furthermore, the angle values of the tilt angles that are either all equal, partially equal, or unequal are any angle value in the first angle value list. Furthermore, the range of the angle values of the projected angles that are either all equal, partially equal, or unequal is any angle value in the first angle value list, or 90°, or any angle value in the second angle value list, and the angle values of the projected angles that have an alternating order are either 180°.
[0617] Alternatively, a single structural unit with one and only eight static axes may have two or more static connection structures on each of the eight connecting parts. The number of static connection structures on each connecting part may be equal or unequal. The whole may be a regular octagon, a twisted octagon, or an scalene octagon.
[0618] The aforementioned structural unit with only eight static axes further increases the variability of the structural unit.
[0619] When forming various combinations of connections, the structural unit can further determine the stability of its spatial nodes in the structural structure when forming the line-to-line angle relationship, line-to-plane angle combination relationship, or plane-to-plane angle combination relationship between each edge and each face of a regular polyhedron and / or an equal division of a regular polyhedron.
[0620] Furthermore, the connection between the individual structural components is also used in the description of locking mechanisms and other applications.
[0621] The present invention also provides a locking assembly that uses structural units as connectors. The locking assembly forms a locking structure and locking assembly by interlocking the structural units. It can be used in locking connections, belts, anti-theft ropes and other fields.
[0622] The present invention also provides a rack assembly with structural units as connectors. The rack assembly utilizes the standardized connection method of the structural units and the structural assembly to achieve efficient assembly, convenient disassembly and assembly, and quick and simple maintenance.
[0623] The present invention also provides a connection combination of structural unit assemblies and a connection layer group, which can be used in the construction of architectural structural models, pavilions and towers, and also in the field of building block toys.
[0624] This invention also provides connection combinations of individual structural units and structural layers, which can be used in architectural structural models, the construction of pavilions and towers, and the field of building block toys. By utilizing multiple combinations of structural units to create complex spatial structures with enhanced structural strength, this method of connection can be used for structural connections in real architectural structures, pavilions and towers, shelves, storage products, and related fields.
[0625] This invention also provides a digital construct monomer.
[0626] A digital structural unit includes at least one digital body, each digital body including at least two digital connection parts, each digital connection part including at least one digital static connection structure, and each digital static connection structure including at least one first digital connection axis and a digital end. The digital structural unit has at least two digital static axes, digital static axis one and digital static axis two, which are not parallel, coincident, or intersecting. Digital static axis one is the first digital connection axis of the digital static connection structure one of the digital connection parts one, and digital static axis two is the first digital connection axis of the digital static connection structure one of the digital connection parts two. Each of digital static axis one and digital static axis two has at least one digital projection axis on the XOY coordinate plane. The digital structure unit has at least two digital tilt angles, digital tilt angle one (dig_a1) and digital tilt angle two (dig_a2), which are the line-plane angles between digital static axis one and digital static axis two and the coordinate system plane XOY, respectively. The digital structure unit has at least one digital projection angle (b12), which is the line-line angle between digital static axis projection axis one and digital static axis projection axis two. The digital structure units can be interconnected. The digital structure units are closely connected or detached by moving forward or backward along each of the digital static axes. In the main body of the digital structure unit, at least two digital static axes are skew straight lines.
[0627] A digital construct single unit, wherein the angle value of the included angle in the digital static space of the digital construct single unit is in the range of 0°<C12≤90°.
[0628] A digital construct unit, wherein the digital construct unit has at least two digital static axes, and the angle values of the digital tilt angles dig_a1, dig_a2 and the digital projection angle dig_b12 associated with the two digital static axes, and when the first end u of each digital static axis has the same or different tilt phases between the dig_u1 digital end of digital static axis one dig_axis1 and the dig_u2 digital end of digital static axis two dig_axis2, the following are provided:
[0629] There is a spatial angle dig_cu1u2 between the digital ends of dig_u1 (digital static axis 1) and dig_u2 (digital static axis 2). This spatial angle dig_cu1u2 is related to the spatial angle dig_C12 (digital static axis 2), and they may be equal or complementary.
[0630] When the angle between the digital terminals is less than or equal to 90°, the angle between the digital terminals is equal to the angle between the static digital terminals. When the angle between the digital terminals is greater than 90°, the angle between the digital terminals is complementary to the angle between the static digital terminals.
[0631] Alternatively, digital static axis one (dig_axis1) has a digital end (dig_u1) and a digital end (dig_v1). Between digital static axis two (dig_axis2) and its digital end (dig_u2), there are also spatial angles (dig_cu1u2, dig_cv1u2). The relationship between these spatial angles (dig_cv1u2 and dig_C12) and the spatial angles (dig_C12) in the digital static axis is either equal or complementary.
[0632] Alternatively, digital static axis one (dig_axis1) has a digital terminal (dig_u1), and digital static axis two (dig_axis2) has a digital terminal (dig_u2) and a digital terminal (v2). The digital terminals (dig_u1 and dig_v2) of static axis one (dig_axis1) and digital static axis two (dig_axis2) have a spatial angle (dig_cu1v2). The relationship between the spatial angle (dig_cu1v2) and the spatial angle (dig_C12) of the digital static axis is either equal or complementary.
[0633] Alternatively, digital static axis one (dig_axis1) has a digital end (dig_u1) and a digital end (dig_v1), and static axis two (dig_axis2) has a digital end (dig_u2) and a digital end (dig_v2). Between digital static axis one (dig_axis1) and digital static axis two (dig_axis2), there are dig_cu1u2, dig_cv1u2, dig_cu1v2, and dig_cv1v2, each with a spatial angle between its digital ends and the digital axis. The relationship between the static space angles dig_C12 is either equal or complementary, and dig_cu1u2 = dig_cv1v2. The angle values of all digital-end space angles are between 0° and 180°, and are neither 0° nor 180°. When there are exactly two static digital axes, the angle values of all digital-end space angles are between 0° and 180°, and are neither 0° nor 180°.
[0634] The tilt direction combination formed by the dig_u1 and dig_u2 digital terminals of each of the two digital static axes of the aforementioned digital unit can either have the same tilt or have different tilts.
[0635] The aforementioned tendency is that each of the digital terminals, dig_u1 and dig_u2, is simultaneously tilted outward and downward, or simultaneously tilted outward and upward, or simultaneously tilted inward and downward, or simultaneously tilted inward and upward, or tilted outward and upward and tilted inward and downward.
[0636] The inclinations are different, meaning that each of the digital terminals dig_u1 and dig_u2 is inclined outward and downward and inclined outward and upward, or inclined outward and upward and inclined inward and downward, or inclined outward and downward and inclined inward and downward, or inclined outward and upward and inclined inward and upward.
[0637] A digital construct unit, wherein the range of digital tilt angle one dig_a1 and digital tilt angle two dig_a2 is: 0° < dig_a1 < 90°, 0° < dig_a2 < 90°.
[0638] A digital construct unit, wherein the range of the included angle b12 of the digital projection is: 0° < dig_b12 < 180°.
[0639] A digital structural unit, wherein a digital static space angle dig_C12 is formed between digital static axis one and digital static axis two, the angle value range of digital static space angle dig_C12 is: 0°<dig_C12≤90°; the angle values range of digital tilt angle one dig_a1 and digital tilt angle two dig_a2 are: 0°<dig_a1<90°, 0°<dig_a2<90°; and the angle value range of digital projection angle b12 is: 0°<dig_b12<180°.
[0640] A digital structural unit includes at least two digital static axis perpendicular planes, each perpendicular to the XOY plane and passing through the digital static axis. The angle between the two perpendicular planes is between 0° and 180°, excluding 0° and 180°. The digital terminals also include digital limiting surfaces and / or digital limiting lines and / or digital limiting points. The digital limiting surfaces and the digital static axis perpendicular planes have a digital limiting tilt angle. This tilt angle causes the connection between the two digital structural units to be tilted at a certain angle for limiting connection. The tilt angle ranges from 0° to 90°, and is not 0°. The maximum tilt angle is 90°. The tilt angle can be clockwise or counterclockwise. The clock direction tilt angle refers to the two static digital connection structures connecting two digital construct units together. The digital limiting surfaces in each static digital connection structure are flush with each other, causing a dynamic digital vertical plane angle to form between the static digital axis vertical planes of the two digital construct units in the dynamic digital connection structure. The angle value of the dynamic digital vertical plane angle ranges from 0° to 90° and is not 0°, with a maximum angle value of 90°. The dynamic digital connection structure includes one static digital connection structure for each of the two connected digital construct units. The corresponding digital connection axes in the two connected static digital connection structures are parallel or coincident. The intersection line of the static digital axis vertical planes is the dynamic digital axis, which is parallel or coincident with the corresponding static digital axis.
[0641] A digital construct single entity, wherein the angle C12 of the digital static space is: any angle value in the angle value list one, or 90°, wherein the overall expression is 0°<dig_C12≤90°.
[0642] A digital construct unit, wherein the angle values of digital tilt angle one dig_a1 and digital tilt angle two dig_a2 are as follows: the angle value of digital tilt angle one dig_a1 is any angle value in angle value list one, and the angle value of digital tilt angle two dig_a2 is any angle value in angle value list one, wherein the overall representation is 0° < dig_a1 < 90°, 0° < dig_a2 < 90°.
[0643] A digital construct unit, wherein the angle values of digital tilt angle one dig_a1 and digital tilt angle two dig_a2 are equal, a1=a2.
[0644] A digital construct unit, wherein the angle value of the digital projection angle dig_b12 is: any angle value in angle value list one, or 90°, or any angle value in angle value list two, wherein the overall expression is 0°<dig_b12<180°.
[0645] A digital construct unit, wherein the angle values of digital tilt angle 1 a1 and digital tilt angle 2 dig_a2 are equal, and the equal angle values of digital tilt angle 1 dig_a1 and digital tilt angle 2 dig_a2 are: any angle value in angle value list 1, and the angle value of dig_C12 is any angle value in angle value list 1, or 90°.
[0646] A digital construct singleton, wherein the angle value of dig_b12 is: any angle value from angle value list one, or 90°, or any angle value from angle value list two, and the angle value of dig_C12 is any angle value from angle value list one, or 90°.
[0647] A digital construct unit, characterized in that the angle values of the digital tilt angle a1 and the digital tilt angle a2 are equal, and the magnitude of the equal angle value is any angle value in the first angle value list, and the angle value of the digital projection included angle b12 is any angle value in the first angle value list, or 90°, or any angle value in the second angle value list.
[0648] The tilt direction between a digital end of digital static axis one and a digital end of digital static axis two may be the same or opposite.
[0649] The first and second digital static axes have the same inclination, meaning that the first end u of the digital static axis has the same inclination between the dig_u1 digital end of the first digital static axis and the dig_u2 digital end of the second digital static axis.
[0650] The tilts of digital static axes one and two are different. This is because the tilts of the first end (u) of digital static axis one (dig_axis1) and the second end (u2) of digital static axis two (dig_axis2) are different. The spatial angle between the digital ends of digital static axes one (dig_axis1) and two (dig_axis2) (dig_cu1u2) is related to the spatial angle (dig_C12). When the spatial angle (dig_cu1u2) is less than or equal to 90°, dig_C12 = dig_cu1u2; when the spatial angle (dig_cu1u2) is greater than 90°, dig_C12 = 180° - (dig_cu1u2).
[0651] The digital construct unit has a digital body, dig_ZT1, and two digital connection parts, dig_LJB, namely, digital connection part one dig_LJB1 and digital connection part two dig_LJB2. Each digital connection part has a digital static connection structure, namely dig_LJJG1-1.
[0652] In the digital static connection structures dig_LJJG1-1 and dig_LJJG1-2, there is a digital connection axis, namely digital static axis one dig_axis1 and digital static axis two dig_axis2. The digital static axis is the first digital connection axis in the digital static connection structure one of each digital connection part. Digital static axis one dig_axis1 is the first digital connection axis dig_axis1-1-1 in the digital static connection structure one dig_LJJG1-1 of digital connection part one dig_LJB1.
[0653] The digital static connection structure dig_LJJG1-1 is dig_LJB1-dig_LJJG1-1.
[0654] The full name of the first digital connection axis dig_axis1-1-1 of the digital static connection structure of the digital connection part is dig_LJB1-dig_LJB1-dig_LJJG1-1. The first digital connection axis dig_axis1-1-1 of the digital static connection structure of each digital connection part is the first digital static axis dig_axis1-1-1, which is simplified to dig_axis1. The second digital static axis dig_axis2-1-1 is simplified to dig_axis2. There is a digital static space angle dig_C between the digital static axes.
[0655] There is a digital static space angle dig_C12 between the two static axes. The angle value of the digital static space angle dig_C12 ranges from 0° to 90°, excluding 0° and including 90°. The range of dig_C12 is expressed as: 0°<dig_C12≤90°.
[0656] Each of the digital static axes also has a digital terminal, u1 digital terminal and u2 digital terminal. The corresponding digital static connection structures also have a digital connection male terminal and / or a digital connection female terminal, or they are the same digital terminal or digital connection male terminal or digital connection female terminal, or they are different digital terminals, with only a digital connection male terminal or only a digital connection female terminal.
[0657] The combination of the tilt directions of the digital terminals u1 and u2 in the two digital static connection structures can be either the same or different.
[0658] The same tendency is defined as follows: in the two static connection structures, one digital end of each digital end is inclined outward and upward, or inclined outward and downward, or inclined inward and upward, or inclined inward and downward.
[0659] The different tendencies mentioned therein are: in the two static connection structures, one digital end is tilted outward and upward and the other is tilted outward and downward, or one is tilted inward and upward and the other is tilted inward and downward, or one is tilted outward and upward and the other is tilted inward and downward, or one is tilted inward and upward and the other is tilted outward and downward.
[0660] In the two digital static connection structures, the spatial angle between the digital terminals u1 and u2 of each terminal has a range of dig_cu1u2, which is 0° < dig_cu1u2 < 180°. There may also be two or four spatial angles between the digital terminals, with the corresponding values being 0° < dig_cu1u2 < 180°, 0° < dig_cu1v2 < 180°, 0° < dig_cv1u2 < 180°, and 0° < dig_cv1v2 < 180°.
[0661] The digital body of the digital construct single unit, dig_ZT1, also has two digital tilt angles, dig_a1 and dig_a2. The range of the angle value of the first digital tilt angle, dig_a1, is 0° < dig_a1 < 90°, and the range of the angle value of the second digital tilt angle, dig_a2, is 0° < dig_a2 < 90°.
[0662] The digital body of the digital construct unit, dig_ZT1, also has a digital projection angle, dig_b12, and the angle value of dig_b12 is in the range of 0° < dig_b12 < 180°.
[0663] Furthermore, the two digital static axes are not parallel, do not coincide, and do not intersect. The two digital static axes are spatially skew lines. And the angle value of the included angle dig_C12 on the digital body of the digital construct unit with only two digital static axes is any angle value from the angle value list one, or 90°.
[0664] Furthermore, for the digital body of the single digital construct unit with only two digital static axes, the angle value of the digital tilt angle 1 dig_a1 on the digital body 1 dig_ZT1 is any angle value in the angle value list 1, and the angle value of the digital tilt angle 2 dig_a2 is any angle value in the angle value list 1. The two digital tilt angles are either equal or unequal in magnitude.
[0665] Furthermore, the digital body of the digital construct unit, dig_ZT1, also has a digital projection angle, dig_b12. The angle value of the digital projection angle, dig_b12, is any angle value in the angle value list one, or 90°, or any angle value in the angle value list two.
[0666] Furthermore, when there are three digital static axes, there are three digital static axes, dig_axis3-1-1, simplified as dig_axis3. Correspondingly, there are three digital static space angles between the three digital static axes, dig_C12, dig_C23, dig_C13; three digital tilt angles, dig_a1, dig_a2, dig_a3; and three digital projection angles, dig_b12, dig_b23, dig_b13. The range of angle values for each corresponding angle is... The range is defined as follows: 0° < dig_C12 ≤ 90°, 0° ≤ dig_C23 ≤ 90°, 0° ≤ dig_C13 ≤ 90°, 0° < dig_a1 < 90°, 0° < dig_a2 < 90°, 0° < dig_a3 < 90°, 0° < dig_b12 < 180°, 0° < dig_b23 ≤ 180°, 0° < dig_b13 ≤ 180°, and at least two of the three digital static axes are non-parallel, non-coincident, and non-intersecting. The two digital static axes are spatially skew lines.
[0667] Furthermore, when there are three digital static axes, the angle values of the included angles of the three digital static spaces are any angle value in the angle value list or 90°, and the included angles of the three digital static spaces, dig_C12, dig_C23, and dig_C13, are either all equal, partially equal, or unequal.
[0668] Furthermore, the angle value of the digital static space included angle dig_C12 on the digital body of the digital construct unit with only three digital static axes is any angle value in the first angle value list, or 90°; the angle value of the digital static space included angle dig_C23 is any angle value in the first angle value list, or 90°; the angle value of the digital static space included angle dig_C13 is any angle value in the first angle value list, or 90°; the three digital static space included angles are either all equal, partially equal, or unequal, and each angle value is any angle value in the first angle value list or 90°.
[0669] Furthermore, for the digital body of the digital construct unit with only three digital static axes, the angle value of the digital tilt angle 1 dig_a1 on the digital body 1 dig_ZT1 is any angle value in the angle value list 1, the angle value of the digital tilt angle 2 dig_a2 is any angle value in the angle value list 1, and the angle value of the digital tilt angle 3 dig_a3 is any angle value in the angle value list 1. The angle values of the three digital tilt angles are either all equal, partially equal, or all unequal.
[0670] Furthermore, when there are four digital static axes, there are four digital static axes, represented as dig_axis4-1-1, simplified as dig_axis4. Correspondingly, there will be more consecutive sequential digital static spatial angles between the four digital static axes: dig_C12, dig_C23, dig_C34, and dig_C14, as well as four digital tilt angles and four consecutive sequential digital projection angles. At least two of the four digital static axes are non-parallel, non-coincident, and non-intersecting. The two digital static axes are spatially skew lines.
[0671] Furthermore, the angle values of the four consecutive sequential digital static space angles, dig_C12, dig_C23, dig_C34, and dig_C14, are either all equal and all 90°, or there are exactly three equal angle values, or there are exactly two equal angle values, or the four consecutive sequential digital static space angles are all equal and not 90°, and each of them has two static axes that are parallel to each other and can form a parallelogram that can be projected onto a plane in space, or they are either intersecting along a single line or two lines.
[0672] Furthermore, the digital structure unit has exactly three digital static axes, or exactly four digital static axes, or exactly five digital static axes, or exactly six digital static axes, or exactly eight digital static axes. At least one of the multiple digital static space angles, dig_C12, is not 0°. The angle values of the other digital static space angles range from 0° to 90°, including both 0° and 90°. The angle values of the digital projection clips range from at least one digital projection clip with an angle value range of 0° < dig_C12 < 80°, and the angle values of the other digital projection clips range from 0° to 180°, including both 0° and 180°. The angle values of the multiple digital tilt angles range from 0° to 90°, including both 0° and 90°.
[0673] The range of values for each angle between multiple digital static spaces is expressed as follows:
[0674] When there are exactly three static digital axes, the following conditions apply: 0° < dig_C12 ≤ 90°, 0° ≤ dig_C23 ≤ 90°, 0° ≤ dig_C13 ≤ 90°; when there are exactly four consecutive static digital axes, the following conditions apply: 0° < dig_C12 ≤ 90°, 0° ≤ dig_C23 ≤ 90°, 0° ≤ dig_C34 ≤ 90°, 0° ≤ dig_C14 ≤ 90°; when there are exactly five consecutive static digital axes, the following conditions apply: 0° < dig_C12 ≤ 90°, 0° ≤ dig_C23 ≤ 90°, 0° ≤ dig_C34 ≤ 90°, 0° ≤ dig_C45 ≤ 90°, 0° ≤ dig_C15 ≤ 90°; when there are exactly six consecutive static digital axes... When there are eight consecutive numerical static axes, the following conditions apply: 0° < dig_C12 ≤ 90°, 0° ≤ dig_C23 ≤ 90°, 0° ≤ dig_C34 ≤ 90°, 0° ≤ dig_C45 ≤ 90°, 0° ≤ dig_C56 ≤ 90°, 0° ≤ dig_C16 ≤ 90°. When there are exactly eight consecutive numerical static axes, the following conditions apply: 0° < dig_C12 ≤ 90°, 0° ≤ dig_C23 ≤ 90°, 0° ≤ dig_C34 ≤ 90°, 0° ≤ dig_C45 ≤ 90°, 0° ≤ dig_C56 ≤ 90°, 0° ≤ dig_C67 ≤ 90°, 0° ≤ dig_C78 ≤ 90°, 0° ≤ dig_C18 ≤ 90°.
[0675] The range of values for each angle of multiple digital projection clips is expressed as follows:
[0676] When there are exactly three projected angles, 0° < dig_b12 < 180°, 0° < dig_b23 ≤ 180°, 0° < dig_b13 ≤ 180°; when there are exactly four consecutive projected angles, 0° < dig_b12 < 180°, 0° < dig_b23 ≤ 180°, 0° < dig_b34 ≤ 180°, 0° < dig_b14 ≤ 180°; when there are exactly five consecutive projected angles, 0° < dig_b12 < 180°, 0° < dig_b23 ≤ 180°, 0° < dig_b34 ≤ 180°, 0° < dig_b45 ≤ 180°, 0° < dig_b15 ≤ 180°; when there are exactly six consecutive projected angles... When there are eight consecutive sequential digital projection angles, the following are true: 0° < dig_b12 < 180°, 0° < dig_b23 ≤ 180°, 0° < dig_b34 ≤ 180°, 0° < dig_b45 ≤ 180°, 0° < dig_b56 ≤ 180°, 0° < dig_b16 ≤ 180°; when there are exactly eight consecutive sequential digital projection angles, the following are true: 0° < dig_b12 < 180°, 0° < dig_b23 ≤ 180°, 0° < dig_b34 ≤ 180°, 0° < dig_b45 ≤ 180°, 0° < dig_b56 ≤ 180°, 0° < dig_b67 ≤ 180°, 0° < dig_b78 ≤ 180°, 0° < dig_b18 ≤ 180°.
[0677] The range of values for the multiple digital tilt angles is expressed as follows:
[0678] When there are exactly three digital static axes, 0° < dig_a1 < 90°, 0° < dig_a2 < 90°, 0° < dig_a3 < 90°; when there are exactly four digital static axes, 0° < dig_a1 < 90°, 0° < dig_a2 < 90°, 0° < dig_a3 < 90°, 0° < dig_a4 < 90°; when there are exactly five digital static axes, 0° < dig_a1 < 90°, 0° < dig_a2 < 90°, 0° < dig_a3 < 90°, 0° < dig_a4 < 90°, 0° < dig_a5 < 90°; when there are exactly six digital static axes... When there is a static axis, 0°<dig_a1<90°, 0°<dig_a2<90°, 0°<dig_a3<90°, 0°<dig_a4<90°, 0°<dig_a5<90°, 0°<dig_a5<90°; when there are only eight digital static axes, 0°<dig _a1<90°, 0°<dig_a2<90°, 0°<dig_a3<90°, 0°<dig_a4<90°, 0°< dig_a5<90°, 0°<dig_a6<90°, 0°<dig_a7<90°, 0°<dig_a8<90°.
[0679] Furthermore,
[0680] When there are exactly three digital static axes, the angle values of the multiple digital static spaces are either all equal, partially equal, or unequal, and each angle value is any angle value in the angle value list one, or is 90°.
[0681] Furthermore, the angle values of the multiple digital tilt angles are either all equal, partially equal, or all unequal, and each angle value is any angle value in the angle value list one.
[0682] Furthermore, the angle values of the multiple digital projection angles are either all equal, partially equal, or unequal, and each angle value is any angle value in angle value list one, or 90°, or any angle value in angle value list two.
[0683] Furthermore, the angle values of the plurality of digital tilt angles are either all equal, partially equal, or unequal, and each angle value is any angle value in the first angle value list; and the angle values of the plurality of digital projection angles are either all equal, partially equal, or unequal, and each angle value is any angle value in the first angle value list, or 90°, or any angle value in the second angle value list, or;
[0684] When there are exactly four digital static axes, the angle values of the multiple digital static spaces are either all equal, partially equal, or unequal, and each angle value is any angle value in the angle value list one, or is 90°.
[0685] Furthermore, the angle values of the multiple consecutive sequential numerical tilt angles are either all equal, partially equal, or all unequal, and each angle value is any angle value in the angle value list one.
[0686] Furthermore, the angle values of the multiple digital projection angles are either all equal, partially equal, or unequal, and each angle value is any angle value in angle value list one, or 90°, or any angle value in angle value list two.
[0687] Furthermore, the angle values of the multiple consecutive sequential digital tilt angles are either all equal, partially equal, or unequal, and each angle value is any angle value in angle value list one; and the angle values of the multiple digital projection included angles are either all equal, partially equal, or unequal, and each angle value is any angle value in angle value list one, 90°, or any angle value in angle value list two.
[0688] or;
[0689] When there are exactly five digital static axes, the angle values of the multiple digital static spaces are either all equal, partially equal, or unequal, and each angle value is any angle value in the angle value list one, or is 90°.
[0690] Furthermore, the angle values of the multiple consecutive sequential numerical tilt angles are either all equal, partially equal, or all unequal, and each angle value is any angle value in the angle value list one.
[0691] Furthermore, the angle values of the multiple digital projection angles are either all equal, partially equal, or unequal, and each angle value is any angle value in angle value list one, or 90°, or any angle value in angle value list two.
[0692] Furthermore, the angle values of the multiple consecutive sequential digital tilt angles are either all equal, partially equal, or unequal, and each angle value is any angle value in angle value list one; and the angle values of the multiple digital projection included angles are either all equal, partially equal, or unequal, and each angle value is any angle value in angle value list one, 90°, or any angle value in angle value list two.
[0693] or;
[0694] When there are exactly six digital static axes, the angle values of the multiple digital static spaces are either all equal, partially equal, or unequal, and each angle value is any angle value in the angle value list one, or is 90°.
[0695] Furthermore, the angle values of the multiple consecutive sequential numerical tilt angles are either all equal, partially equal, or all unequal, and each angle value is any angle value in the angle value list one.
[0696] Furthermore, the angle values of the multiple digital projection angles are either all equal, partially equal, or unequal, and each angle value is any angle value in angle value list one, or 90°, or any angle value in angle value list two.
[0697] Furthermore, the angle values of the multiple consecutive sequential digital tilt angles are either all equal, partially equal, or unequal, and each angle value is any angle value in angle value list one; and the angle values of the multiple digital projection included angles are either all equal, partially equal, or unequal, and each angle value is any angle value in angle value list one, 90°, or any angle value in angle value list two.
[0698] or;
[0699] When there are exactly eight digital static axes, the angle values of the multiple digital static spaces are either all equal, partially equal, or unequal, and each angle value is any angle value in the angle value list one, or is 90°.
[0700] Furthermore, the angle values of the multiple consecutive sequential numerical tilt angles are either all equal, partially equal, or all unequal, and each angle value is any angle value in the angle value list one.
[0701] Furthermore, the angle values of the multiple digital projection angles are either all equal, partially equal, or unequal, and each angle value is any angle value in angle value list one, 90°, or any angle value in angle value list two.
[0702] Furthermore, the angle values of the multiple consecutive sequential digital tilt angles are either all equal, partially equal, or unequal, and each angle value is any angle value in the first angle value list. Also, the angle values of the multiple digital projection included angles are either all equal, partially equal, or unequal, and each angle value is any angle value in the first angle value list, or 90°, or any angle value in the second angle value list.
[0703] The digital construct unit is a combination of related multi-static axes that have the same angular value and angular value combination as the physical construct unit. There are only two digital static axes, only three digital static axes, only four digital static axes, only five digital static axes, only six digital static axes, and only eight digital static axes.
[0704] Furthermore, the present invention also provides three methods for generating numbers.
[0705] This invention also includes computer-generated methods for digital constructs (single entities) and digital construct combinations, comprising three methods. The methods are as follows: Method 1, as described below... Figure 120 a, Figure 121Method 2, as follows: Figure 120 b, Figure 122 Method 3, as follows: Figure 120 c, Figure 123 .
[0706] The first method involves generating spatial wireframes and / or surface and / or solid diagrams of various regular polyhedra through computational image imaging. Based on the obtained results, it further generates spatial wireframes and / or surface and / or solid diagrams of each polyhedron's equal division. The second step involves generating the included angles of each line and combinations of angles based on the aforementioned regular polyhedron diagrams and / or equal division diagrams. The third step generates individual digital constructs.
[0707] The second method involves generating spatial wireframes and / or surface and / or solid diagrams of various regular polyhedra through computational image imaging, and further generating spatial wireframes and / or surface and / or solid diagrams of each polyhedron based on the obtained results. The second step involves generating the included angles of each line and combinations of angles based on the aforementioned regular polyhedron diagrams and / or regular polyhedron diagrams. The third step involves generating individual digital constructs.
[0708] The third method involves generating various regular polyhedra, including regular hexahedrons, regular dodecahedrons, and regular icosahedrons, through computational image imaging. This process generates spatial wireframes and / or surface and / or solid diagrams of the regular hexahedrons, regular dodecahedrons, and regular icosahedrons. Based on the obtained results, further spatial wireframes and / or surface and / or solid diagrams of each polyhedron are generated. Additionally, spatial wireframes and / or surface and / or solid diagrams of each polyhedron's equal division are generated. The second step involves generating the included angles of each line and the combinations of angles based on the aforementioned regular polyhedron diagrams and / or equal division diagrams. The third step generates individual digital constructs.
[0709] In Method 1, Method 2, and Method 3, each regular polyhedron is a regular tetrahedron, a regular hexahedron, a regular octahedron, a regular dodecahedron, a rhombic dodecahedron, a regular icosahedron, and a rhombic icosahedron. The equal-divided polyhedrons in Method 1, Method 2, and Method 3 are the four-equal-divided regular tetrahedron, the six-equal-divided regular hexahedron, the eight-equal-divided regular octahedron, the twelve-equal-divided regular dodecahedron, the twelve-equal-divided rhombic dodecahedron, the twenty-equal-divided regular icosahedron, and the thirty-equal-divided rhombic icosahedron. Attached Figure Description
[0710] Figure 1These represent the positions of the relevant angle values of a regular tetrahedron and a regular hexahedron within a regular polyhedron.
[0711] Figure 1 middle Figure 1 a, Relevant angles of a regular tetrahedron Figure 1 b, the relevant angles of the cube.
[0712] Figure 2 The relevant angle values are given at their respective positions for a quarter-division of a regular tetrahedron and a sixth-division of a regular hexahedron.
[0713] Figure 2 middle Figure 2 a. The relevant angles of the four equal parts of a regular tetrahedron. Figure 2 b, the relevant angles of the six equal parts of the cube.
[0714] Figure 3 Four types of polyhedra: rhombic dodecahedron, rhombic icosahedron, regular dodecahedron, and regular icosahedron.
[0715] Figure 3 middle Figure 3 a, Figure 3 b, Figure 3 c, Figure 3 d have respectively,
[0716] Figure 3 In equation a, the relevant angles of the rhombic dodecahedron. Figure 3 The relevant angles of the rhombic icosahedron in b.
[0717] Figure 3 In equation c, the relevant angles of the regular dodecahedron. Figure 3 d. Relevant angles of the regular icosahedron.
[0718] Figure 4 The twelve equal parts of a rhombic dodecahedron, and the thirty equal parts of a rhombic icosahedron.
[0719] Figure 4 middle Figure 4 a. Relevant angles of the rhombic dodecahedron equal division. Figure 4 The relevant angles of the rhombohedral icosahedron equiparticular body in b,
[0720] Figure 5 The 20-equal division of a regular icosahedron, and the 12-equal division of a regular dodecahedron.
[0721] Figure 5 middle Figure 5 a. Relevant angles of an icosahedral equal partition. Figure 5 b. Relevant angles of the evenly divided icosahedron.
[0722] Figure 6The rhombic icosahedron serves as an intermediary for the transformation between the regular dodecahedron and the regular icosahedron.
[0723] Figure 6 middle Figure 6 a, a regular icosahedron Figure 6 b rhombus icosahedron, Figure 6 c, regular dodecahedron, and the transformation relationship among the three.
[0724] Figure 7 The rhombic dodecahedron serves as an intermediary for the transformation between the regular hexahedron and the regular octahedron.
[0725] Figure 7 middle Figure 7 a, a regular tetrahedron Figure 7 b. Rhombic dodecahedron Figure 7 c, regular octahedron, and the transformation relationship among the three.
[0726] Figure 8 There are relationships between regular icosahedrons and regular hexahedrons, and between regular dodecahedrons and regular hexahedrons.
[0727] Figure 8 middle Figure 8 a, Figure 8 b, Figure 8 In diagram a, the angular relationship between a regular hexahedron and a regular icosahedron.
[0728] Figure 8 In diagram b, the angular relationship between a regular hexahedron and a regular dodecahedron.
[0729] Figure 9 The spatial positions of the angles of the twelve equal parts of the rhombic dodecahedron and the spatial positions of the angles of the thirty equal parts of the rhombic icosahedron.
[0730] Figure 9 middle Figure 9 a, Figure 9 b, Figure 9 In section a, the relevant angles of the rhombic dodecahedron equal division.
[0731] Figure 9 In b, the relevant angles of the rhombic icosahedron are divided equally.
[0732] Figure 10 The angles of the twelve equal divisions of a regular dodecahedron are in their respective spatial positions, as are the angles of the twenty equal divisions of a regular icosahedron.
[0733] Figure 10 middle Figure 10 a, Figure 10 b, Figure 10 In a, the relevant angles of the dodecahedron equal division.
[0734] Figure 10 In b, the relevant angles of the icosahedral isotope.
[0735] Figure 11 , regular octahedron and the eight equal parts of regular octahedron.
[0736] Figure 11 middle, Figure 11 a. Relevant angles of a regular octahedron with equal parts Figure 11 b. Relevant angles of a regular octahedron
[0737] Figure 12 The relevant angles of the equally divided rhombic dodecahedron.
[0738] Figure 13 The relevant angles of the equally divided rhombic icosahedron.
[0739] Figure 14 Example: tie-gu-14ab
[0740] Figure 14 middle, Figure 14 a, Figure 14 b represents two stereoscopic viewpoints from the embodiment. Figure 1 and two .
[0741] Figure 15 The relationship between the three quantities and four lines related to the two static axes: the three quantities are the angle between the tilt projection and the angle between the static space; the four lines are the two static axes and the two projection axes.
[0742] Figure 15 middle, Figure 15 a. Explanation of the relationships between the angles of the two static axes, the spatial parallel lines of the two static axes, and the corresponding projection axes.
[0743] Figure 15 b. Explanation of the relationships between the angles between the two static axis parallel lines and the parallel lines of the projection axis.
[0744] Figure 16 The relationship between the directional ends on each connecting axis of the two static axes and the spatial angle between them.
[0745] Figure 16 middle, Figure 16 Explanation of the relationship between the two static axes, the ends of the static axes, and the included angles of the static space and the included angles of the end spaces.
[0746] Figure 16 b, the relationship between the angular value of the angle between one, two, or four ends of the two static axes and the angular value of the angle between the static spaces.
[0747] Figure 17 The corresponding symmetry of the three quantities and four lines in the coordinate system.
[0748] Figure 17 middle, Figure 17 a. The relationship between the two static axes and their respective projection axes in the coordinate system, including the corresponding static spatial angles, inclination angles, and projection angles, as well as the end spatial angles between the ends of the two static axes in each direction.
[0749] Figure 17 b. The relationship between the static space angle between the two static axes and the projection axis and the projection angle.
[0750] Figure 18 , Figure 19 , Figure 20 Example: tiegu-02-20ab
[0751] Figure 21 Example: tiegu-02-21ab
[0752] Figure 22 Example: tiegu-02-22ab
[0753] Figure 23 Example: tiegu-02-23ab
[0754] Figure 24 Example: tiegu-02-24abc
[0755] Figure 25 Various limiting surfaces of tiegu-02-24abc in the embodiment.
[0756] Figure 26 , Figure 27 Examples, example tiegu-02-26ab, example tiegu-02-27ab.
[0757] Figure 28 , Figure 29 Example 1 is tiegu-02-28ab.
[0758] Figure 30 Example: tiegu-30ab.
[0759] Examples of structural units with one and only two static axes:
[0760] tiegu-02-20ab, tiegu-02-26ab, tiegu-02-27ab, tiegu-02-28 and tiegu-30ab:
[0761] Example 1 tiegu-02-20ab, related figures are available. Figure 18 , Figure 19 , Figure 20 middle, Figure 20 a, Figure 20 b, Figure 20 c, Figure 20 d, where each of them is separate. Figure 18 The main view in the embodiment, Figure 19 It is a bottom view.
[0762] Figure 20 a is a stereoscopic view Figure 1 , Figure 20 b is a stereoscopic view. Figure 2 , Figure 20 c is the sectional view along line A1-A1. Figure 20 d is the sectional view along line S5-S5. Figure 20 e is the left view. Figure 20 f is the right view.
[0763] Example tiegu-02-21ab, has Figure 21 a, Figure 21 b represents the main view and the stereoscopic view of the embodiment, respectively.
[0764] Example tiegu-02-22ab, has Figure 21 a, Figure 22 b represents the stereoscopic view of the embodiment. Figure 1 and stereoscopic view Figure 2 .
[0765] Example tiegu-02-23ab, has Figure 23 a, Figure 23 b are perspective views of the connection relationships in the embodiments. Figure 1 And an explosion diagram.
[0766] Example tiegu-02-24abc, has Figure 24 a, Figure 24 b, Figure 24 c, Figure 25 a, Figure 25 b, Figure 25 c represents:
[0767] Figure 24 a is an elevation view of the connection relationship in the embodiment. Figure 24 Exploded view (b) Figure 24 c is the main view of the connection relationships.
[0768] Figure 25 a, Figure 25 b, Figure 25 c represents three different states of the cross-sectional view when the connection is made, with different limiting inclination angles and different included angles of the dynamic vertical planes corresponding to the connection relationship.
[0769] Example tiegu-02-26ab has Figure 26 a, Figure 26b, respectively, are stereoscopic viewpoints in the embodiments. Figure 1 and stereoscopic view Figure 2 ,
[0770] Example tiegu-02-27ab has Figure 27 a, Figure 27 b, respectively, are stereoscopic viewpoints in the embodiments. Figure 1 and stereoscopic view Figure 2 ,
[0771] Example tiegu-02-28ab, has Figure 28 a, Figure 28 b and Figure 29 It is divided into a front view, a rear view, and a perspective view of the embodiment.
[0772] Example tiegu-30ab, has Figure 30 a, Figure 30 b, divided into a perspective view and a front view of the embodiment.
[0773] Furthermore, the figures show a series of various embodiments.
[0774] Figure 31 Example series: tieguzz-2 series, tieguzz-3 series, tieguzz-4 series.
[0775] Figure 32 Example series: tieguzz-5 series, tieguzz-6 series, tieguzz-8 series.
[0776] Figure 33 Examples of coordinate-based representations: the tieguzz-2 series.
[0777] Figure 34 Examples of coordinate-based representations: tieguzz-3 series.
[0778] Figure 35 Examples of coordinate-based representations include: tieguzz-4 series, tieguzz-5 series,
[0779] Figure 36 Example series: tieguzz-3 series
[0780] Figure 37 Example: tieguzz-3-xz series
[0781] Figure 38 Example: tieguzz-3-xz series
[0782] Figure 39 Example series: tieguzz-4 series
[0783] Figure 40 Example: tieguzz-4 series
[0784] Figure 41 Example: tieguzz-4-xz series
[0785] Figure 42 Examples include the tieguzz-5 series and the tieguzz-5-xz series.
[0786] Figure 43 Example: tieguzz-5 series
[0787] Figure 44 Examples include the tieguzz-6-xz series and the tieguzz-6 series.
[0788] Figure 45 Example: tieguzz-6 series
[0789] Figure 46 Examples include the tieguzz-8 series and an example with twelve stationary axes.
[0790] Furthermore, the specific figures of each embodiment will be further described separately.
[0791] The series of embodiments having exactly two stationary axes, exactly three stationary axes, exactly four stationary axes, exactly five stationary axes, exactly six stationary axes, and exactly eight stationary axes respectively: Figure 31 , Figure 32 , Figure 33 , Figure 34 , Figure 35 , Figure 36 , Figure 37 , Figure 38 , Figure 39 , Figure 40 , Figure 41 , Figure 42 , Figure 43 , Figure 44 , Figure 45 , Figure 46 ,
[0792] Example series with only two stationary axes: tieguzz-2 series, such as Figure 31 a, Figure 33 a, Figure 33 b,
[0793] There is only one series of embodiments with three static axes: the tieguzz-3 series, such as... Figure 31 b, Figure 34 a, Figure 34 b, and Figure 36 middle, Figure 36 b1, Figure 36 b2, Figure 36 b3, Figure 36 d1, Figure 36 d2, Figure 36 d3, Figure 36 d4, Figure 36 d5, Figure 36 d6.
[0794] There is only one series of embodiments with four static axes: the tieguzz-4 series, such as... Figure 31 c, Figure 35 a, and Figure 39 middle, Figure 39 c1, Figure 39 c2, Figure 39 c4, Figure 39 c5, Figure 39 e1, Figure 39 e2, Figure 39 e3, Figure 39 f1, Figure 39 f2, Figure 39 f3, Figure 39 f4, Figure 39 f5, Figure 39 f6,
[0795] There is only one series of embodiments with five static axes: the tieguzz-5 series, such as... Figure 32 a, Figure 35 b, and Figure 43 In the middle, Figure 43 g1, Figure 43 g2, Figure 43 g3, Figure 43 g4, Figure 43 g5, Figure 43 g6,
[0796] There is only one series of embodiments with six stationary axes: the tieguzz-6 series, such as... Figure 32 b, Figure 44 a, Figure 44 b, and Figure 45 In the middle, Figure 45 h1, Figure 45 h2, Figure 45 h3, Figure 45 h4, Figure 45 h5, Figure 45 h6, Figure 45 h1-mirr,, Figure 45 h6-mirr,
[0797] There is only one series of embodiments with eight stationary axes: the tieguzz-8 series, such as... Figure 32 c, Figure 46 a,
[0798] Another example is tieguzz-46b, which has twelve static axes.
[0799] Furthermore, the three-quantity four-line system related to three static axes, as well as the three-quantity four-line system related to four static axes, five static axes, six static axes, and eight static axes, are shown in the following figures:
[0800] Figure 47 The relationship between the three static axes in a coordinate system is a relationship of three quantities and four lines.
[0801] Figure 48 The three static axes of the outer ring cloth and the three projection axes of the outer ring cloth.
[0802] Figure 49 The three static axes of the inner ring cloth and the three projection axes of the inner ring cloth.
[0803] Figure 47 middle, Figure 47 a. The relationship between the three static axes and their respective projection axes in the coordinate system, including the static spatial angles, inclination angles, and projection angles, as well as the end spatial angles between the ends of the three static axes in each direction.
[0804] Figure 47 b. The relationship between the static space angle and the projection angle of the three static axes and the projection axis.
[0805] Figure 48 middle, Figure 48 a. The included angle of the static space between the three static axes and the included angle of the end space between the ends of the three static axes in each direction (outer ring).
[0806] Figure 48 b. The included angles (outer ring) between the projection axes of the three static axes.
[0807] Figure 49 middle, Figure 49 a. The included angle of the static space between the three static axes and the included angle of the end space between the ends of the three static axes in each direction (inner ring).
[0808] Figure 49 b. The included angles (inner rings) between the projection axes of the three static axes.
[0809] Figure 50 The four static axes relationship in a coordinate system represents the relationship between three quantities and four lines.
[0810] Figure 51 The four static axes of the outer ring cloth and the three projection axes of the outer ring cloth.
[0811] Figure 52 The inner ring cloth type has four static axes and the inner ring cloth type has three projection axes.
[0812] Figure 50 middle, Figure 50 a. The relationship between the four static axes and their respective projection axes in the coordinate system, including the static spatial angles, inclination angles, and projection angles, as well as the end spatial angles between the ends of the four static axes in each direction.
[0813] Figure 50 b. The relationship between the static space angles and projection angles of the four static axes and projection axes.
[0814] Figure 51 middle, Figure 51 a. The included angles in the static space between the four static axes and the included angles in the end space between the ends of the three static axes in each direction (outer ring).
[0815] Figure 51 b. The included angles (outer ring) between the projection axes of the four static axes.
[0816] Figure 52 middle, Figure 52 a. The included angles in the static space between the four static axes and the included angles in the end space between the ends of the three static axes in each direction (inner ring).
[0817] Figure 52 b. The included angles (inner rings) between the projection axes of the four static axes.
[0818] Figure 53 The five static axes relationship in a coordinate system represents the three quantities and four lines.
[0819] Figure 54 The five static axes of the outer ring cloth and the three projection axes of the outer ring cloth.
[0820] Figure 55 The five static axes of the inner ring cloth and the three projection axes of the inner ring cloth.
[0821] Figure 53 middle, Figure 53 a. The relationship between the five static axes and their respective projection axes in the coordinate system, including the static spatial angles, inclination angles, and projection angles, as well as the end spatial angles between the ends of the five static axes in each direction.
[0822] Figure 53 b. The relationship between the static space angle and the projection angle of the five static axes and projection axes.
[0823] Figure 54 middle, Figure 54 a. The included angles in the static space between the five static axes and the included angles in the end space between the ends of the five static axes in each direction (outer ring).
[0824] Figure 54 b. The included angles between the projection axes of the five static axes (outer ring).
[0825] Figure 55 middle, Figure 55 a. The included angles in the static space between the five static axes and the included angles in the end space between the ends of the five static axes in each direction (inner ring).
[0826] Figure 55 The included angles (inner rings) between the projection axes of the five static axes.
[0827] Figure 56 The six-stationary-axis relationship in a coordinate system represents the three quantities and four lines.
[0828] Figure 57 The six static axes of the outer ring cloth and the three projection axes of the outer ring cloth.
[0829] Figure 58 The six static axes of the inner ring cloth and the three projection axes of the inner ring cloth.
[0830] Figure 56 middle, Figure 56 a. The relationship between the six static axes and their respective projection axes in the coordinate system, including the static spatial angles, inclination angles, and projection angles, as well as the end spatial angles between the ends of the six static axes in each direction.
[0831] Figure 56 b. The relationship between the static space angle and the projection angle of the six static axes and projection axes.
[0832] Figure 57 middle, Figure 57 a. The included angles in the static space between the six static axes and the included angles in the end space between the ends of the six static axes in each direction (outer ring).
[0833] Figure 48 b. The included angles (outer ring) between the projection axes of the three static axes.
[0834] Figure 58 middle, Figure 58 a. The included angles in the static space between the six static axes and the included angles in the end space between the ends of the six static axes in each direction (inner ring).
[0835] Figure 58 b. The included angles (inner rings) between the projection axes of the six static axes.
[0836] Figure 59 The eight-axis relationship in a coordinate system is a three-quantity, four-line relationship.
[0837] Figure 60 The outer ring of eight static axes and the outer ring of three projection axes.
[0838] Figure 61 The inner ring cloth type has eight static axes and the inner ring cloth type has three projection axes.
[0839] Figure 59 middle, Figure 59 a. The relationship between the eight static axes and their respective projection axes in the coordinate system, including the static spatial angles, inclination angles, and projection angles, as well as the end spatial angles between the ends of the eight static axes in each direction.
[0840] Figure 59 b. The relationship between the static space angle and the projection angle of the eight static axes and projection axes.
[0841] Figure 60 middle, Figure 60 a. The included angles in the static space between the eight static axes and the included angles in the end space between the ends of the eight static axes in each direction (outer ring).
[0842] Figure 60 b. The included angles (outer ring) between the projection axes of the eight static axes.
[0843] Figure 61 middle, Figure 61 a. The included angles in the static space between the eight static axes and the included angles in the end space between the ends of the eight static axes in each direction (inner ring).
[0844] Figure 61 b. The included angles (inner rings) between the projection axes of the eight static axes.
[0845] Further embodiments include,
[0846] Figure 62 The elongated embodiment has a static connection structure with two opposing connecting parts, each having more than four connecting parts in each of the other two.
[0847] Figure 63 A long, narrow embodiment, wherein there are two opposing connecting parts, each having more than four connecting parts in each of the other four static connection structures. Example: tiegu-62 series, long, narrow structural unit. Figure 62 , Figure 64 W1, W2, W3, W4, W5, W6
[0848] Example: tiegu-63 series, elongated structural unit. Figure 63 , Figure 64 R1, R2, R3, R4, R5, R6
[0849] Figure 64 Examples of various subcategories of elongated structures.
[0850] Figure 65 Further variations of the construct monomer embodiment tiegu-65ab,
[0851] Figure 66Example 1: Tiegu-66 series, each with two main bodies, each with three connecting parts. Various combinations are possible.
[0852] Figure 67 Examples tiegu-67a and tiegu-67b each have three and four main bodies, respectively.
[0853] Example: tiegu-65ab series, Figure 65 a, Figure 65 b represents the front view and the stereoscopic view, respectively.
[0854] Examples tiegu-66a, tiegu-66b, and tiegu-66c have respectively Figure 66 a, Figure 66 b, Figure 66 c. Stereoscopic view, examples tiegu-67a and tiegu-67b, respectively have Figure 67 a, Figure 67 b, all are stereoscopic views, examples of the tiegu-6869 series. Figure 68 3D perspective image Figure 69 Front view, Example: tiegu-70 series Figure 70 Main view.
[0855] Examples of tiegu-62 series include various sub-series such as tiegu-62-W1, tiegu-62-W2, tiegu-62-W3, tiegu-62-W4, tiegu-62-W5, and tiegu-62-W6. Examples of tiegu-63 series include tiegu-63-R1, tiegu-63-R2, 63-tiegu-63-R3, tiegu-63-R4, tiegu-63-R5, and tiegu-63-R6.
[0856] Examples of tiegu-62 and tiegu-63 series also have sub-series: W1, W2, W3, W4, W5, W6, R1, R2, R3, R4, R5, R6. Example of tiegu-6869 is shown in the figure. Figure 68 , Figure 69 Each has a sub-series, tiegu-6869-12, tiegu-6869-13, tiegu-6869-23, tiegu-6869-14, tiegu-6869-24, tiegu-6869-34, tiegu-6869-24, tiegu-6869-15, tiegu-6869-25, tiegu-6869-35, tiegu-6869-45,...tiegu-6869-(n)(m),
[0857] The Tiegu-70 series also includes example series: Tiegu-70-222, Tiegu-70-333, and Tiegu-70-444.
[0858] Figure 69 , Figure 79 Example 1 is tiegu-6869.
[0859] Figure 70 For example, the tiegu-70 series.
[0860] Figure 71 The limiting surface, limiting line, and limiting point on the connecting end have... Figure 71 a, Figure 71 b, Figure 71 c,
[0861] Figure 72 Furthermore, the included angle of the moving vertical plane connecting the two units, and the included angle of the moving space.
[0862] Figure 72 a, the angle between the activity space dt12-zt11-C22,
[0863] Figure 72 b, the included angle between the moving vertical planes a (surf90-dt12-GZ-a11),
[0864] Figure 72 In component b, there is also the static axis perpendicular plane of the static axis of component DT1, dt1-surf90-1, and the static axis perpendicular plane of the static axis of component DT2, dt2-surf90-1. The two components form a connection relationship, which includes a dynamic connection structure, active-LJJG1, and a dynamic axis, GZ-axis1.
[0865] Figure 72 In component c, the static axis of component c has a static axis perpendicular plane dt1-surf90-1 of component c's static axis 1, and the static axis perpendicular plane dt1-surf90-2 of component c's static axis 2, forming a static perpendicular plane angle C12(dt1-surf90-axis1-axis2) in component c. The magnitude of the static perpendicular plane angle is equal to the magnitude of the projected angle b12.
[0866] Figure 73 The angle between the moving vertical plane and the angle of the resulting activity space are all different.
[0867] Figure 74 The connection between the two units, and the basis of the latch.
[0868] Figure 75 The relevant angular values between the two moving shafts of the two units. And the direction of the moving shafts. And the connection of the three units.
[0869] Figure 76 The connection between the three units, and the basis of the reinforced locking mechanism.
[0870] Figure 77 The angle combinations between the relevant moving axes of the four-unit connection and the six-unit connection.
[0871] Figure 78 Four-unit connection,
[0872] Figure 79 Another type of four-unit connection,
[0873] Figure 80 The connection between the six monomers.
[0874] Example tuegu-ZZ-72ab, Figure 72 middle, Figure 72 a, 72b, and Figure 73 middle, Figure 73 a, Figure 73 b, Figure 73 c. Example tiegu-ZZ-74ab, a structural assembly of two moving shafts. Figure 74 middle, Figure 74 a, 74b, 74c Figure 75 a, Example tiegu-ZZ-76ab, a three-axis structural assembly. Figure 75 middle, Figure 75 a, 75b Figure 75 b, Example tiegu-ZZ-7879, a four-axis structural assembly. Figure 77 a, Figure 78 a, 78b Figure 79 a, 79b, Example tiegu-ZZ-80ab, Six-axis structural assembly, Figure 77 b, Figure 80 a, 80b, Further, modular structural unit examples:
[0875] Figure 81 A monolithic structure with three static axes.
[0876] Figure 82 Four-axis block-type structural units and five-axis block-type structural units.
[0877] Figure 83 A flattened, block-like structural unit with four static axes.
[0878] Examples of three static shafts include the tiegu-81 series, with three examples: tiegu-81a-A60, tiegu-81a-A90, tiegu-81a-A69, and example tiegu-82a. Figure 82 a, Example tiegu-82b, as Figure 82 b,
[0879] Example tiegu-83a, as Figure 83 a, Example tiegu-83b, as Figure 83 b,
[0880] Figure 84 Shelves. Figure 85 Another type of shelf. Figure 86 Another type of shelf. Figure 87 Another type of shelf.
[0881] Shelf example: tiegu-85b Figure 85 b, tiegu-84a, Figure 84 a,
[0882] Shelf example: tiegu-84b Figure 84 b, tiegu-85a, Figure 85 a,
[0883] Shelf example: tiegu-86a Figure 86 a, tiegu-87a, Figure 87 a,
[0884] Shelf example: tiegu-86b Figure 86 b, tiegu-87b, Figure 87 b,
[0885] Figure 88 Layer group Figure 89 Layer group
[0886] Figure 90 There are three connected layers in the layer group. Figure 91 There are three connected layers in the layer group.
[0887] Layer group implementation example, tiegu-ZZ-88, Figure 88 Layer group implementation example, tiegu-ZZ-89 Figure 89 ,
[0888] Layer group embodiment, tiegu-ZZ-90a, Figure 90 a, Layer group implementation example, tiegu-ZZ-90b, Figure 90 b,
[0889] Layer group embodiment, tiegu-ZZ-90c, Figure 90 c, Layer group implementation example, tiegu-ZZ-90d, Figure 90 d,
[0890] Figure 91 , structural layer group, Figure 92 A structural layer of a structural layer group. Figure 93 , construct layer group,
[0891] Figure 94 A structural layer that plays an active connection role in the structural layer group includes type A active connection structural layers and type B.
[0892] Figure 95 Type A of the connecting structural layers in the structural layer group. Figure 96 The corresponding B-type of the structural layer group.
[0893] Figure 97 Actual product rendering.
[0894] Figure 98 An enlarged view of the exploded A-type view of the connecting structural layers in the structural layer group.
[0895] Construction of layer group embodiment, tiegu-ZZ-91, Figure 91 , Figure 92 , Figure 93 , Figure 94 a, Figure 94 b, Figure 95 , Figure 96 , Figure 97 a, Figure 97 b, Figure 98 , Figure 99 The various layers and layer groups mentioned above, as well as the relevant explanations for constructing layer groups, are as follows:
[0896] Layer group implementation example, tiegu-ZZ-88, Figure 88 Layer group implementation example, tiegu-ZZ-89 Figure 89 ,
[0897] Figure 88 In the middle, there are two connected layers and one connecting layer. Each connected layer may contain a single structural unit or a combination of structural units, such as... Figure 88 Each of the first and second layers contains a single structural unit with three static axes, such as... Figure 89 There is a single four-static-axis structural unit in each of the first and second layers, and the connecting layers connect the first and second layers respectively.
[0898] Layer group embodiment, tiegu-ZZ-90a, Figure 90 a, Layer group implementation example, tiegu-ZZ-90b, Figure 90 b,
[0899] Layer group embodiment, tiegu-ZZ-90c, Figure 90 c, Layer group implementation example, tiegu-ZZ-90d, Figure 90 d,
[0900] Figure 90 a, Figure 90 b, Figure 90 c, Figure 90 In d, each has three layers, each has three connected layers, and each has two actively connected layers, for a total of five layers.
[0901] Corresponding Figure 90 In layer a, there is a single structural unit in layer one that has exactly three static axes, and correspondingly... Figure 90 b and Figure 90 In c, there is a single structural unit in layer one that has exactly four static axes, and correspondingly... Figure 90 d consists of a single structural unit with exactly eight static axes.
[0902] Figure 91 , structural layer group, Figure 92 A structural layer of a structural layer group. Figure 93 , construct layer group,
[0903] Figure 91 The system comprises two structural layers: layer1-asm1-group1 and layer2-asm2-group2, as well as a connecting layer12-asm12-group12 that connects the first two. Within the connecting layer12-asm12-group12, there are four connecting components GZ-asm-JG1, GZ-asm-JG2, GZ-asm-JG3, and GZ-asm-JG4 at the four corners of the horizontal-vertical-horizontal, horizontal-vertical-horizontal, horizontal-vertical-horizontal, and horizontal-vertical-horizontal ...
[0904] Figure 92 The middle part is either a connected structural layer group one or a connected structural layer group two, each consisting of four connected components, namely the horizontal component one, vertical component one, horizontal component two, and vertical component two in the corresponding layer.
[0905] In the first layer of the structure, there are two horizontal components: layer1-asm1-heng1 and layer1-asm1-heng2; and three vertical components: layer1-asm1-zong1 and layer1-asm1-zong2.
[0906] like Figure 93As shown, in the structural connection layer group one and two that play an active connection role, there are four connection components GZ-asm-JG1, GZ-asm-JG2, GZ-asm-JG3, and GZ-asm-JG4. Among them, there are joint12-heng1-zong1, joint12-heng2-zong2, joint12-heng1-zong2, and joint12-heng2-zong1 in layer one and layer two, respectively, which connect to the corresponding horizontal component one, horizontal component two, vertical component one, and vertical component two in layer group one and layer group two, thereby forming a combined whole of structural layer group.
[0907] Figure 94 A structural layer that plays an active connection role in the structural layer group includes type A active connection structural layers and type B.
[0908] Figure 95 Type A of the connecting structural layers in the structural layer group. Figure 96 The corresponding B-type of the structural layer group.
[0909] Figure 94 and Figure 95 In the connection layer group, due to the different directions of the structural components joint12-heng1-zong1, joint12-heng2-zong2, joint12-heng1-zong2, and joint12-heng2-zong1 at the four corners, the A-type connection method in 94a is formed, or it is formed as shown in 94a. Figure 94 In b, the B-type connection method corresponds to the formation as follows: Figure 95 The exploded view shows two types of structural connection components, type A and type B.
[0910] Type A and Type B can connect Layer 1 and Layer 2 independently, or they can connect Layer 1 and Layer 2 in a mixed manner.
[0911] The resulting hybrid connection modes are as follows Figure 97 a and Figure 97 As shown in b.
[0912] like Figure 98 As shown, the connection methods of Type A and Type B are each formed by connecting different structural units. Furthermore, as... Figure 99As shown, there are seven structural layer groups, which are simplified as layer1, layer2, layer3, layer4, layer5, layer6, and layer7, and the connecting layers are layer12, layer23, layer34, layer45, layer56, and layer67. Figure 100 This is a stereoscopic view of embodiment tietu-suokou-128.
[0913] Furthermore, related illustrations of digital constructs include:
[0914] Further illustrations related to the individual digital constructs are provided below:
[0915] Figure 101 Example: tiegu-dig-101ab
[0916] Example of a digital construct single unit: tiegu-dig-101ab, a digital construct single unit with exactly two digital static axes. Figure 101 a, Figure 101 b, all are stereoscopic views.
[0917] Figure 102 The relationships between the axes and angles related to the two digital static axes, two digital projection axes, the spatial parallel axes of the two digital static axes, and the planar parallel axes of the two digital projection axes of a single digital structure, including the digital static spatial angles, digital tilt angles, and digital projection angles.
[0918] Figure 102 The relationship between the three quantities and four lines between the two digital static axes.
[0919] Figure 103 The digital direction end between the two digital static axes, and the corresponding spatial angle between the digital ends.
[0920] Figure 104 The corresponding symmetry of the two digital static axes in coordinate space.
[0921] Figure 105 Example: tiegu-105abc.
[0922] Figure 102 The relationships between the angles of the digital static space, digital tilt angle, and digital projection angle related to each axis of the digital structure unit, including the two digital static axes and the two digital projection axes.
[0923] Figure 103 a) The mutual transformation relationship between the same or different inclinations of the two static axes of a single digital construct.
[0924] Figure 103 b. The relationship between the spatial angle between the digital ends of the two static axes of a single digital construct and the spatial angle between the two static axes is either equal or complementary.
[0925] Figure 104 middle, Figure 104 a) The relationship between the two digital static axes and the corresponding digital projection axes of the two digital static axes in the coordinate system, the digital tilt angle and the digital projection angle, and the digital end spatial angle between the digital direction ends of the two digital static axes.
[0926] Figure 104 b. The relationship between the angle of inclination of the digital static space between the two digital static axes and the digital projection axis, and the angle of digital projection.
[0927] Example tiegu-105abc, respectively: Figure 105 a, Figure 105 b, Figure 105 c represents an exploded view of the connection relationships between individual digital constructs, a three-dimensional view of a digital construct with two static digital axes, and a three-dimensional view of a digital construct with a single connecting end.
[0928] Figure 106 Digital constructs single-unit embodiment series; three-static-axis, four-static-axis, five-static-axis, six-static-axis and eight-static-axis, etc.
[0929] The series of examples are as follows:
[0930] Figure 106 In the series of embodiments, there are exactly two digital static axes, exactly three digital static axes, exactly four digital static axes, exactly five digital static axes, exactly six digital static axes, and exactly eight digital static axes: [each with...] Figure 106 a, Figure 106 b, Figure 106 c, Figure 106 d, Figure 106 e, Figure 106 f, Figure 107 a, Figure 107 b, Figure 107 c, Figure 107 d, Figure 105 a, Figure 105 b, Figure 105 c,
[0931] Among them are:
[0932] There are only two digital static axis implementation examples in the series: the dig-tieguzz-2 series, such as... Figure 106 a, such as Figure 105 b, Figure 105 c,
[0933] Figure 107 ,dig-tieguzz-02-107ab
[0934] Two-digit static axis embodiment: dig-tieguzz-02-107ab, as shown Figure 107 a, Figure 107 b, Figure 107 c, Figure 107 d, which includes Figure 107 a, has a front view. Figure 107 b. Top view Figure 107 c, Stereoscopic view Figure 1 , Figure 107 d stereoscopic view Figure 2 ,
[0935] There is only one series of three digital static axis implementation examples: the dig-tieguzz-3 series, such as... Figure 106 b,
[0936] There is only one series of four digital static axis implementation examples: the dig-tieguzz-4 series, such as... Figure 106 c,
[0937] There is only one series of five digital static axis implementation examples: the dig-tieguzz-5 series, such as... Figure 106 d, Figure 43 g6,
[0938] There is only one series of six digital static axis implementation examples: the dig-tieguzz-6 series, such as... Figure 106 e,
[0939] There is only one series of eight digital static axis implementation examples: the dig-tieguzz-8 series, such as... Figure 106 f,
[0940] Figure 108 The relationship between the three digital static axes and the corresponding digital projection axes of the three digital static axes in the coordinate system, the digital tilt angle and the digital projection angle, and the digital end spatial angles between the directional ends of the three digital static axes.
[0941] Figure 109 The relationships between the four digital static axes and their respective digital projection axes in the coordinate system, including the corresponding digital static spatial angles, digital tilt angles, and digital projection angles; the digital end spatial angles between the digital direction ends of the four digital static axes; and the three quantities and four lines between the four digital static axes.
[0942] Figure 110The relationships between the five digital static axes and their respective digital projection axes in the coordinate system, including the corresponding digital static spatial angles, digital tilt angles, and digital projection angles, as well as the digital end spatial angles between the digital direction ends of the five digital static axes, and the corresponding three quantities and four lines between the five digital static axes.
[0943] Figure 111 The relationships between the six digital static axes and their respective digital projection axes in the coordinate system, including the corresponding digital static spatial angles, digital tilt angles, and digital projection angles; the digital end spatial angles between the digital direction ends of the six digital static axes; and the three quantities and four lines between the six digital static axes.
[0944] Figure 112 An exploded view of the connection between digital units and a stereoscopic view of the units connected together.
[0945] The included angle of the moving vertical plane in the digital dynamic connection structure, and the corresponding included angle of the digital activity space.
[0946] Example combination: dig-tieguzz-asm-112b Figure 112 b,
[0947] Figure 113 The included angle of the moving vertical plane in the digital moving connection structure, and the included angle of the digital end space between the digital moving shafts.
[0948] Figure 112 a, the angle between the activity spaces is dig-dt12-zt11-C22.
[0949] Figure 112 b, the angle between the moving vertical planes dig-a(surf90-dt12-GZ-a11)
[0950] Figure 113 b, the spatial angle between the two digital moving axes of a digital construct combination between two individual digital constructs, and the spatial angle between the ends of the digital moving axes in each direction.
[0951] in, Figure 113 b, the connection between two individual digital constructs and a digital construct combination, having two digital dynamic axes and a digital dynamic space angle. Figure 115 a, Figure 115 b. The explosion of the connection relationship between two digital constructs. Figure 1 and explosion Figure 2 ,
[0952] Figure 114 The angle between the three digital units formed by their connections, and the corresponding connections of the four digital units.
[0953] Figure 114 a, the spatial angle between the three digital moving axes of a digital construct combination of three individual digital constructs, and the spatial angle between the ends of the digital moving axes in each direction. Example combination: dig-tieguzz-asm-114a Figure 114 middle, Figure 114 a, Figure 116 a, Figure 116 b, in, Figure 114 middle, Figure 114 a) A connection between three individual digital constructs and a digital construct combination, featuring two digital dynamic axes. Figure 116 a, Figure 116 b is a combination diagram and an exploded diagram showing the connection relationships between the three digital constructs. Figure 114 b, the spatial angle between the three digital moving axes of a digital construct combination between four digital construct units, and the spatial angle between the ends of the digital moving axes in each direction; the connection between a digital construct combination with four digital moving axes among four digital construct units. Figure 115 An example of connecting two digital units. Figure 115 a, Figure 115 b Figure 116 An example of three digital units connected together. Figure 116 a, Figure 116 b Example: Digital layer group, dig-tieguzz-asm117abcd-layer123 Figure 117 a, Figure 117 b, Figure 117 c, Figure 117 d, and Figure 118 a, Figure 118 b, Figure 118 c, Figure 118 d, where, Figure 117 Implementations of the three digital connectivity layers Figure 118 Implementations of the three digital connectivity layers Figure 117 A is a stereoscopic view of a digital layer group consisting of three connected layers and two connecting layers. Figure 1 , Figure 118 A is a stereoscopic view of a digital layer group consisting of three connected layers and two connecting layers. Figure 2 , Figure 117b, a stereoscopic view of a digital layer group consisting of three connected layers and two connected layers. Figure 1 , Figure 118 b, a stereoscopic view of a digital layer group consisting of three connected layers and two connected layers. Figure 2 , Figure 117 c represents the stereoscopic view of a digital layer group consisting of three connected layers and two connected layers. Figure 1 , Figure 118 c represents the stereoscopic view of a digital layer group consisting of three connected layers and two connected layers. Figure 2 , Figure 117 d represents the stereoscopic view of a digital layer group consisting of three connected layers and two connecting layers. Figure 1 , Figure 118 d represents the stereoscopic view of a digital layer group consisting of three connected layers and two connecting layers. Figure 2 , Example layer group, dig-tieguzz-asm119-layer, Figure 119 , among them Figure 119 , is a combination of multiple numbers forming a construction layer group and multiple numbers forming a construction layer group. Method 1 for computer-generated digital constructs: (as follows) Figure 120 a, Figure 121 .
[0954] Figure 121 A computer-generated method for digital construct assemblies.
[0955] Figure 120 'a' is a flowchart illustrating the computer-generated method for assembling digital constructs. The second method for computer-generated digital construct assemblies is as follows: Figure 120 b, Figure 122 , Figure 122 Method 2 for computer-generated digital construct assemblies.
[0956] Figure 120 b is a flowchart of the second method for generating digital construct assemblies using computers.
[0957] The third method for computer-generated digital construct assemblies is as follows: Figure 120 c, Figure 123 , Figure 123 Method 3 for computer-generated digital construct assemblies.
[0958] Figure 120 c is a flowchart of the third method for computer-generated digital construct assemblies.
[0959] Figure 124 For example, tieguzz-dt124 is a single-component construct.
[0960] Figure 124 a represents the embodiment tieguzz-dt124a of the construct monomer.
[0961] Figure 124 b represents the embodiment tieguzz-dt124b of the construct monomer.
[0962] Figure 124 c represents the embodiment tieguzz-dt124c of the construct monomer.
[0963] Figure 125 For example, the all-in-one-1 implementation.
[0964] Figure 126 For example, tieguzz-dt126 is an embodiment of the construct assembly.
[0965] Figure 127 For example, tiegu-suokou-127 is an embodiment of the construct assembly. Detailed Implementation
[0966] Nouns and terms:
[0967] The DT construct consists of monomers, each with DT1, monomer one, DT2, monomer two, DT(n), and monomer n.
[0968] The ZT structure unit has at least one main body, ZT1, or more main bodies, ZT2, ZT3, etc. The LJB structure unit has a connecting part, with each main body having at least two connecting parts, LB1 and LJB2. The LJJG structure unit has a static connection structure for the connecting parts of its main body.
[0969] A connection part has at least one static connection structure LJJG(n)-1, or multiple static connection structures, from static connection structure one to static connection structure m, from LJJG(n)-1 to LJJG(n)-(m).
[0970] The axis connects the axes, wherein each static connection structure has at least one connecting axis -axis1-1-1, or multiple connecting axes, from connecting axis -axis1-1-1 to connecting axis kr axis1-1-(k).
[0971] Each static connection structure in each connecting part has a connecting axis.
[0972] The connecting axis k of the static connection structure m is: axis(n)-(m)-(k).
[0973] A static axis (axis(n)-1-1) means that a single body of a structural unit has at least two static axes: static axis one axis1 and static axis two axis2, where...
[0974] The stationary axis, axis1-1-1, is the first connecting axis in the static connection structure of the connecting part.
[0975] The static axis 2 is the first connecting axis 2-1-1 in the static connection structure of the two connecting parts.
[0976] The static axis has a direction end u, static axis 1 (axis1) has a u1 end, static axis 2 (axis2) has a u2 end, and the projection axis is TY-axis. The projection axis of static axis 1 is projection axis 1, TY-axis1, which is the projection axis of axis1-1-1, also called TY-axis1-1-1. The projection axis of static axis 1 is projection axis 2, TY-axis2, which is the projection axis of axis2-1-1, also called TY-axis2-1-1.
[0977] Inclination angle α, Inclination angle 1 a1, Inclination angle α1 of stationary axis 1, Inclination angle 2 a2, Inclination angle α2 of stationary axis 2
[0978] Projection angle b, projection angle b12, and the angle b12 between the projection axes of stationary axis one and stationary axis two.
[0979] C is the angle between static axes, and C12 is the angle between static axes one and two in static space.
[0980] The included angle cu1u2 between the stationary axes cu1 and cu2 is either equal to or complementary to C12.
[0981] Further DT types include DT2, DT3 (monomer triad), DT4 (monomer tetrad), DT5 (monomer pentad)... DTn (monomer n).
[0982] Further ZT includes ZT2, ZT3 (main body three), ZT4 (main body four), ZT5 (main body five), ZT6 (main body six), ... ZTn (main body n).
[0983] Furthermore, LJB includes LJB1, LJB2, LJB3L (connecting part three), LJB4 (connecting part four)... LJBn (connecting part n).
[0984] Furthermore, LJJG also includes LJJG1-1, LJJG1-2, LJJG1-3, LJJG1-4,...LJJG1-m in the first connecting part.
[0985] LJJG2-1, LJJG2-2, LJJG2-3, LJJG2-4, ... LJJG2-n, ... in the second connecting part
[0986] The LJJGm-1, LJJGm-2, LJJGm-3, LJJGm-4, ... LJJGm-n in the connecting part m
[0987] The axis refers to the connecting axes of the static connecting structure 1 in connecting part 1, specifically axes 1-1-1, 1-1-2, 1-1-3, ..., 1-1-k; the axis refers to ... referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred to the axis referred
[0988] axis(n) -1 -1 static axis, further including axis1, axis2, axis3 static axes, ... axis(n) static axis n,
[0989] Further inclination angles include inclination angle 3 a3, inclination angle 4 a4, inclination angle 5 a5, ... inclination angle n: a(n),
[0990] The projection angles can be further defined as b12, b23, b34...b(n-1)(n), and b1(n).
[0991] The angle between the static spaces can be further expressed as C23, C34, C45...C(n-1)(n), and C1(n).
[0992] In addition to the projection angle, there are also alternating sequences b13, b24...b(n-2)(n), and b1(n-1).
[0993] The angle between static spaces further includes alternating sequences C13, C24...C15...C(n-2)(n), and C1(n-1).
[0994] Further, the angles of inclination can be a2, a3, a4...a(n).
[0995] The included spatial angles between the ends of the stationary axes will further include the direction end v of the stationary axis, the v1 end of stationary axis one (axis1), the v2 end of stationary axis two (axis2), and further included spatial angles cu1v2, cv1u2, and cv1v2 between the ends of the stationary axes.
[0996] Furthermore, there will be the included angles of the end spaces between the stationary axes: cu1u2, cu1v2, cv1u2, and cv1v2.
[0997] Further, there will be end-space angles cu1u2, cu2u3, cu3u4...cu(n-1)u(n), cu1v2, cu2v3, cu3v4...cu(n-1)v(n)...cv1u2, cv2u3, cv3u4...cv(n-1)u(n)...cv1v2, cv2v3, cv3v4...cv(n-1)v(n), etc. Additionally, there are:
[0998] An ASM (Assembly Mode) structural assembly is a composite of at least two structural units connected together, with at least two vertical connections. Each connection must contain at least one dynamic connection structure, and each dynamic connection structure must contain at least one dynamic axis. An assembly must have at least two or more dynamic axes. Two units forming an assembly must have at least two or more units. Two connections between two units can form a structural assembly. Three connections between three units can form a structural assembly. A GZ-axis dynamic axis is a structural assembly with at least two dynamic axes: GZ-axis1 and GZ-axis2. GZ-C12 represents the dynamic spatial angle, the dynamic vertical angle, the dynamic spatial angle dt12-zt11-C22, and the dynamic vertical angle α (surf90-dt12-GZ-a11).
[0999] Two connections between two units are interlocked connections. There is at least one connection between each pair of three units, and at least three connections between three units are chain connections. There are at least four consecutive sequential connections between each pair of four units, forming a chain connection. Similarly, there can be five, six, or more units and connections in sequence.
[1000] Among the three or more interconnected links, there may also be interlocking connections between two individual units. Interlocking means that there are two connection relationships between the two individual units and the related two moving shafts are not parallel, not coincident, and not intersecting.
[1001] Among them, the four units can also form a three-dimensional interconnection of four vertices, without a connected chain sequence, and each unit is connected to the other three units.
[1002] In the three-dimensional connection relationship between the four units, each unit has at least six static connection structures and six static axes. Every two static axes interlock with any other unit, and all four units are interlocked.
[1003] Furthermore, there will be a hexahedral-like interlocking system with eight vertices.
[1004] Furthermore, there will be octahedral-like interlocking structures with six vertices.
[1005] Furthermore, there will be a dodecahedron-like interlocking system with twenty vertices.
[1006] Furthermore, there will be interlocking solids with twelve vertices, similar to an icosahedron.
[1007] Furthermore, there will be three-dimensional interlocking structures with fourteen vertices, resembling a rhombic dodecahedron.
[1008] Furthermore, there will be interlocking three-dimensional structures with thirty-two vertices, resembling a rhombus-shaped 32-sided polyhedron.
[1009] Furthermore, the aforementioned individual structures and the aforementioned combinations of structures will also have digital, networked, and virtualized applications, thereby forming non-physical digital individual structures, digital combinations of structures, and various digital applications of related connections.
[1010] Further explanation is provided below:
[1011] The `dig_DT` is a digital construct consisting of a single entity `dig_DT1`, a single entity one `dig_DT2`, a single entity two `dig_DT(n)`, and a single entity `n` `dig_ZT`, which is the main body of the digital construct. Each entity has at least one digital main body. The first digital main body is `dig_ZT1`, and there are multiple digital main bodies, such as `dig_ZT2`, `dig_ZT3`, `dig_ZT2`, and `dig_ZT3`.
[1012] The `dig_LJB` is a digital connection part of the digital body of a single digital construct. A single digital body has at least two digital connection parts: digital connection part one (dig_LB1) and digital connection part two (dig_LJB2). The `LJJG` is a static digital connection structure of the digital connection parts of the digital body of a single digital construct.
[1013] A digital connection unit has at least one digital static connection structure dig_LJJG(n)-1, or multiple digital static connection structures, from digital static connection structure one to digital static connection structure m, from dig_LJJG(n)-1 to dig_LJJG(n)-(m), dig_axis digital connection axis, and each digital static connection structure has at least one digital connection axis one dig_axis1-1-1, or multiple digital connection axes, from digital connection axis one dig_axis1-1-1 to digital connection axis dig_axis1-1-(k).
[1014] Each digital connection section contains a digital static connection structure with its own digital connection axis.
[1015] The digital connection axis K, dig_axis(n)-(m)-(k), of the digital static connection structure m is the digital connection axis. The digital static axis dig_axis(n)-1-1, in a single digital structure, has at least two digital static axes: digital static axis one dig_axis1 and digital static axis two dig_axis2. Specifically, digital static axis one dig_axis1 is the first digital connection axis dig_axis1-1-1 in the digital static connection structure one of the digital connection parts, and digital static axis two dig_axis2 is the first digital connection axis dig_axis2-1-1 in the digital static connection structure one of the digital connection parts. The digital direction end dig_u of the digital static axis is the digital end dig_u1 of digital static axis one, and the digital end dig_u2 of digital static axis two dig_axis2. The digital projection axis dig_TY-axis is also defined.
[1016] The digital projection axis of digital static axis one is digital projection axis one, dig_TY-axis1, that is, the digital projection axis of dig_axis1-1-1, also known as TY-axis1-1-1.
[1017] The digital projection axis of digital static axis one is digital projection axis two, dig_TY-axis2, which is the digital projection axis of dig_axis2-1-1, also known as TY-axis2-1-1.
[1018] Digital tilt angle dig_a, digital tilt angle one dig_a1, digital tilt angle of digital stationary axis one dig_a1, digital tilt angle two dig_a2, digital tilt angle of digital stationary axis two dig_a2
[1019] Digital projection angle dig_b, digital projection angle dig_b12, and the angle dig_b12 between the digital projection axes of digital static axis one and digital static axis two.
[1020] dig_C is the angle between the digital static space axes, and dig_C12 is the angle between the digital static axes one and two.
[1021] The spatial angle between the digital ends of the digital static axes is dig_cu1u2, where the sum or difference of dig_cu1u2 is equal to or complementary to C12.
[1022] Further variations of dig_DT include dig_DT2, dig_DT3 (digital singleton three), dig_DT4 (digital singleton four), dig_DT5 (digital singleton five)... dig_DTn (digital singleton n).
[1023] Further examples of `dig_ZT` include `dig_ZT2`, `dig_ZT3` (digital body three), `dig_ZT4` (digital body four), `dig_ZT5` (digital body five), `dig_ZT6` (digital body six), ... `dig_ZTn` (digital body n).
[1024] Furthermore, dig_LJB includes dig_LJB1, dig_LJB2, dig_LJB3L (digital linker three), dig_LJB4 (digital linker four), ... dig_LJBn (digital linker n).
[1025] Furthermore, dig_LJ...
Claims
1. A structural unit comprising at least one main body, said main body comprising at least two connecting portions, each connecting portion comprising at least one static connection structure, each static connection structure comprising at least one first connecting axis and a connecting end, characterized in that, The structural unit has at least two static axes, static axis one and static axis two. These two static axes are not parallel, do not coincide, and do not intersect. Static axis one is the first connecting axis of the static connection structure one of the connecting part one, and static axis two is the first connecting axis of the static connection structure one of the connecting part two. There is a static spatial angle between static axis one and static axis two, which is the angle between skew lines in space between the straight lines containing static axis one and static axis two. Static axis one and static axis two each have at least one projection axis on the XOY plane of the coordinate system. The second projection axis; the single structure has at least two tilt angles, tilt angle one a1 and tilt angle two a2, where tilt angle one a1 and tilt angle two a2 are the line-plane angles between static axis one and static axis two and the coordinate system plane XOY, respectively; the single structure has at least one projection angle b12, where projection angle b12 is the line-line angle between static axis projection axis one and static axis projection axis two; the single structures can be connected to each other; the single structures are closely connected or separated by moving forward or backward along each of the static axes; in the main body of the single structure, at least two static axes are skew straight lines.
2. The structural unit as described in claim 1, wherein the angle value of the static space included in the structural unit is in the range of 0° < C12 ≤ 90°.
3. The structural unit as described in claim 1, wherein the structural unit has at least two static axes, the angles a1, a2 and the included angle b12 of the two static axes, and when the u1 end of static axis one axis1 and the u2 end of static axis two axis2 have the same or different inclinations, are as follows: There is an included spatial angle cu1u2 between the u1 end of stationary axis 1 and the u2 end of stationary axis 2. The included spatial angle cu1u2 is related to the included spatial angle C12, and they are either equal or complementary. When the angle between two endpoints in the space is less than or equal to 90°, the angle between the endpoints is equal to the angle between the static spaces. When the angle between the endpoints is greater than 90°, the angle between the endpoints is complementary to the angle between the static spaces. Alternatively, if stationary axis 1 has an end u1 and an end v1, and there is an end space angle cu1u2 and cv1u2 between it and the end u2 of stationary axis 2, the relationship between the end space angle cv1u2 and the stationary space angle C12 is either equal or complementary. Alternatively, if stationary axis 1 has end u1, and stationary axis 2 has end u2 and end v2, and the end u1 of stationary axis 1 and the end v2 of stationary axis 2 have an included spatial angle cu1v2, the relationship between the included spatial angle cu1v2 and the included spatial angle C12 is either equal or complementary. Alternatively, if stationary axis 1 has an end with u1 and an end with v1, and stationary axis 2 has an end with u2 and an end with v2, then between stationary axis 1 and stationary axis 2, there are cu1u2, cv1u2, cu1v2, and cv1v2, all of which have a relationship between the included angle of their ends and the included angle of their stationary ends, C12. These angles are either equal or complementary, and cu1u2 = cv1v2 and cu1u2 = cv1v2. The magnitude of all included angles of their ends is between 0° and 180°, and is neither 0° nor 180°. When there are exactly two stationary axes, the magnitude of all included angles of their ends is between 0° and 180°, and is neither 0° nor 180°. The combination of tilt directions formed by one end u1 and one end u2 of each of the two static axes of the monomer can be either the same or different. The aforementioned inclinations are as follows: each connecting end u1 and u2 are simultaneously inclined outward and downward, or simultaneously inclined outward and upward, or simultaneously inclined inward and downward, or simultaneously inclined inward and upward, or inclined outward and upward and inclined inward and downward. The inclinations are different, meaning that each connecting end u1 and u2 are inclined outward and downward and inclined outward and upward, or inclined outward and upward and inclined inward and downward, or inclined outward and downward and inclined inward and downward, or inclined outward and upward and inclined inward and upward.
4. A structural unit as described in claim 1, characterized in that, The range of the values of the inclination angles a1 and a2 is: 0° < a1 < 90°, 0° < a2 < 90°.
5. A structural unit as described in claim 1, characterized in that, The range of the projection angle b12 is: 0° < b12 < 180°.
6. A structural unit as described in claim 1, characterized in that, The static space angle C12 is formed between the first static axis and the second static axis, and the range of the static space angle C12 is: 0° < C12 ≤ 90°; the range of the tilt angles a1 and a2 is: 0° < a1 < 90°, 0° < a2 < 90°; the range of the projection angle b12 is: 0° < b12 < 180°.
7. A structural unit as described in claim 1, characterized in that, The connection methods in the static connection structure include slotted snap-fit, X-slotted snap-fit, plug-in, electrostatic adsorption connection, magnetic connection, etc. The connection ends in the static connection structure include identical or different connection ends. Identical connection ends include connection ends that do not distinguish between male and female ends, and also include combinations of connection ends that have both male and female ends. Different connection ends include male or female ends, which are respectively active or passive connections. The male or female ends in the identical connection ends, and the male or female ends in the different connection ends, have one or more of the following methods: slotted connection, X-slotted connection, plug-in connection, electrostatic adsorption connection, or magnetic connection.
8. A structural unit as described in claim 1, characterized in that, The structural unit has at least two stationary axis perpendicular planes, each a plane passing through the stationary axis and perpendicular to the XOY plane. The angle between the two stationary axis perpendicular planes is between 0° and 180°, excluding 0° and 180°. The connecting end also includes a limiting surface and / or limiting line and / or limiting point. The limiting surface has a limiting tilt angle with the stationary axis perpendicular plane. This limiting tilt angle causes the connection between the two units to be tilted at a certain angle for limiting connection. The value of the limiting tilt angle ranges from 0° to 90°, and is not 0°. The maximum value of the limiting tilt angle is 90°. The limiting tilt angle can be a clockwise tilt angle or... The counter-clockwise tilt angle refers to two static connection structures connecting two individual units together. The limiting surfaces in each static connection structure are flat against each other, so that the two individual units form a dynamic vertical plane angle between each static axis vertical plane in the dynamic connection structure. The angle value of the dynamic vertical plane angle is between 0° and 90° and is not 0°. The maximum angle value of the dynamic vertical plane angle is 90°. The dynamic connection structure includes one static connection structure for each of the two individual units connected together. The corresponding connecting axes in the two static connection structures are parallel or coincident. The intersection of the static axis vertical planes is the dynamic axis, and the dynamic axis is parallel or coincident with the corresponding static axis.
9. A structural unit as described in claim 2, characterized in that, The angle C12 of the static space is: 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7 356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Or 90°.
10. A structural unit as described in claim 4, characterized in that, The angular values of inclination angle 1 a1 and inclination angle 2 a2 are as follows: the angular value of inclination angle 1 a1 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9°. 0.51°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.942° 4°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349 °, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, The angle value of the aforementioned inclination angle a2 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°. °, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65°. 9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°.
11. A structural unit as described in claim 4, characterized in that, The angle values of the first inclination angle a1 and the second inclination angle a2 are equal, a1 = a2.
12. A structural unit as described in claim 5, characterized in that, The angle value of the projection angle b12 is: 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7 356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Or 90° Or 109.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 105°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 110.9051°, or 112.5°, or 114.0949°, or 116°. 5651°, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.8698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.810 3°, or 135°, or 138.1897°, or 141.0576°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 155°. 9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°.
13. A structural unit as described in claim 2, 4 or 5, characterized in that, The angle values of the first inclination angle a1 and the second inclination angle a2 are equal, and the equal angle values of the first inclination angle a1 and the second inclination angle a2 are: 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38°. 9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.434 9°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Furthermore, the angle values of C12 are: 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°. , or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65°. 9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Or 90°.
14. A structural unit as described in claim 2, 4 or 5, characterized in that, The angle value of b12 is: 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651° Or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897° , or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 90°, or 109.7356°, or 10 0.8123°, or 102.0475°, or 103.2826°, or 15°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 110.9051°, or 112.5°, or 114.0949°, or 116.5651° °, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786° , or 153.4349°, or 155.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167°.9525°, or 169.1877°, or 170.2644°. Furthermore, the angle value of C12 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°. , or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65°. 9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Or 90°.
15. A structural unit as described in claim 2, 4 or 5, characterized in that, The angles of inclination angle α1 and inclination angle α2 are equal, and the inclination directions between one end of stationary shaft one and one end of stationary shaft two are either the same or opposite. The static shaft one and static shaft two have the same inclination, meaning that the u1 end of static shaft one (axis1) and the u2 end of static shaft two (axis2) have the same inclination. The inclinations of the first and second static axes are different, meaning that the inclinations between the u1 end of the first axis and the u2 end of the second axis are different. The relationship between the included angle cu1u2 at the ends of stationary axes 1 and 2, and the included angle C12 in the static space is as follows: when the included angle cu1u2 is less than or equal to 90°, C12 = cu1u2; when the included angle cu1u2 is greater than 90°, C12 = 180° - cu1u2. The angle values of the first tilt angle a1 and the second tilt angle a2 are equal, and the magnitude of the equal angle values is: 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45° , or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, Furthermore, the angle value of b12 is: 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651° °, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.189 7°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475° Or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 90°, or 109.7356°, Or 100.8123°, or 102.0475°, or 103.2826°, or 15°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 110.9051°, or 112.5°, or 114.0949°, or 116°. 5651°, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.94 24°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°. Or 150°, or 151.7786°, or 153.4349°, or 155.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163°.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°.
16. A structural unit as described in claim 1, characterized in that, The structural unit has at least three static axes: static axis one, static axis two, and static axis three. At least two of these static axes are neither parallel, coincident, nor intersecting. Each of static axes one, two, and three has at least one projection axis on the XOY plane of the coordinate system: static axis projection axis one, static axis projection axis two, and static axis projection axis three. The structural unit has at least three tilt angles: tilt angle one a1, tilt angle two a2, and tilt angle three a3. These tilt angles are the line-plane angles between static axes one, two, and three and the XOY plane of the coordinate system, respectively. The structural unit has at least three projection angles b12, b23, and b13. At least one of these three static spatial angles is not 0°. The range of the static space included angle C12 is: 0°<C12≤90°; the range of the static space included angle C23 is: 0°≤C23≤90°; and the range of the static space included angle C13 is: 0°≤C13≤90°. The range of values for the three tilt angles is as follows: The range of angle values for inclination angle one (a1) is: 0° < a1 < 90°; the range of angle values for inclination angle two (a2) is: 0° < a2 < 90°; and the range of angle values for inclination angle three (a3) is: 0° < a3 < 90°. The range of values for the included angles of the three projections is as follows: The projection angle b12 between at least two static axes has a range of 0° < b12 < 180°, the projection angle b23 has a range of 0° < b23 ≤ 180°, and the projection angle b13 has a range of 0° < b13 ≤ 180°.
17. A structural unit as described in claim 16, characterized in that, The static space angles C12, C23, and C13 are formed between the first static axis, the second static axis, and the third static axis. The corresponding static space angles C12, C23, and C13 are: C12 = C23 = C13 = 90°; Alternatively, C12 = C23 = C13 = 60°; Alternatively, C12 = C23 = C13 and C12 = cu1u2 or cu1u2 = 180° - C12, where cu1u2 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°. Or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 5 4.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80°. 2644°, or 90°, or 99.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 105°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 110.9051°, or 112.5°, or 114.0949°, or 116.5651°, or 117.3768°, or 118.2213°; Alternatively, C12 = C23, and the angle values of C12 and C13 are not equal, and C12 = cu1u2 or cu1u2 = 180° - C12, where cu1u2 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.094°. 9°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1 304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 7 9.1877°, or 80.2644°, or 90°, or 99.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 105°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 110.9051°, or 112.5°, or 114.0949°, or 116.5651°, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 1 44.7356°, or 146.4427°, or 148.2825°, or 60°, or 151.7786°, or 153.4349°, or 155.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°. Alternatively, the angle values of triangles C12, C23, and C13 are all unequal, and we have... C12 = cu1u2 or cu1u2 = 180° - C12, and C23 = cu2u3 or cu2u3 = 180° - C23, and C13 = cu1u3 or cu1u3 = 180° - C13, and cu1u2 is 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22 0.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.130° 2°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525° °, or 79.1877°, or 80.2644°, or 90°, or 99.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 105°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 110.9051°, or 112.5°, or 114.0949°, or 116.5651°, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 1 44.7356°, or 146.4427°, or 148.2825°, or 60°, or 151.7786°, or 153.4349°, or 155.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°. Furthermore, Cu₂U₃ has a angular velocity of 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°. Or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897 °, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475° Or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 90°, or 99.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 105°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 110.9051°, or 112.5°, or 114.0949°, or 116°. 5651°, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.94 24°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825° , or 60°, or 151.7786°, or 153.4349°, or 155.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163°.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°. Furthermore, cu1u3 is 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°. Or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897 °, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475° Or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 90°, or 99.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 105°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 110.9051°, or 112.5°, or 114.0949°, or 116°. 5651°, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.94 24°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825° , or 60°, or 151.7786°, or 153.4349°, or 155.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163°.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°.
18. A structural unit as described in claim 16, characterized in that, The relationships between the angle values of inclination angle 1 a1, inclination angle 2 a2, and inclination angle 3 a3 are: a1 = a2 = a3, where the angle value of a1 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.471°. 2°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4 349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, a1 = a2, and the angle values of a1 and a3 are not equal; or a1 = a3, and the angle values of a1 and a2 are not equal; a2 = a3, and the angle values of a1 and a2 are not equal. Where, Two angles of equal magnitude have the following values: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, 26.5651°, 28.2213°, 30°, 31.7175°, 33.5573°, 35.2644°, 36°, 36.8698°, 36.8696°, 37.3774°, 37.9525°, 38.9424°, or 41.81°. 03°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65° 0.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. The angle value of a3 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; or, The angles of inclination 1 a1, inclination 2 a2, and inclination 1 a3 are all different. The angle value of a1 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, The angle value of a2 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, The angle value of a3 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°.
19. A structural unit as described in claim 16, characterized in that, The relationships between the projection angles b12, b23, and b13 are as follows: b12 = b23 = b13 = 60°; Alternatively, b12 = b23 = b13 = 120°; Or, b12 = b23 = 90°; Alternatively, b12 = b23 and b13 = b12 + b23 and b13 < 180° and b12 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20°. 9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.94 24°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349 °, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; or, b12 = b23 and b13 = 360° - b12 - b23 and b13 < 180°, and b12 is either 99.7356°, 100.8123°, 102.0475°, 103.2826°, 105°, 106.7786°, 107.6322°, 108°, 108.4349°, 109.4712°, or 10.9051°. °, or 112.5°, or 114.0949°, or 116.5651°, or 117.3768°, or 118.2213°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424 °, or 131.8103°, or 135°, or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4 349°, or 155.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°; or, b12, b23, and b13 are all unequal, and b12 has the following values: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, or 22°. 5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 4 1.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, Or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644° °, or 90°, or 99.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 105°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 10.9051°, or 112.5°, or 114.0949°, or 116.5651°, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127 0.9525°, or 128.9424°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427° °, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 155.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°.
20. A structural unit as described in claim 1 or 16, characterized in that, The angular relationships between the inclination angles a1, a2, and a3 and the three projected angles b12, b23, and b13 are as follows: Given that b12 = b23 = b13 = 60° and a1 = a2 = a3, the angle value of a1 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, or 20.9°. 0.51°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.942° 4°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349 °, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, if b12 = b23 = b13 and the angle is 60°, then there is one and only one a1 = a2, where the angle value of a1 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20°. 9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.94 24°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349 °, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, b12 = b23 = b13 equals 120° and a1 = a2 = a3, where the angle value of a1 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20°. 0.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9 424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.434 9°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, if b12 = b23 = b13 and the angle is 120°, then there is one and only one case where a1 = a2, and the angle value of a1 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20°. 0.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9 424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.434 9°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, b12 = b23 = 90° and a1 = a2, where the angle value of a1 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22°. 5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475° °, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, and the value of angle a3 is either equal to or unequal to a1; Alternatively, b12 = b23 and b13 = b12 + b23 and b13 < 180° and b12 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20°. 9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.94 24°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349 °, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, Furthermore, a1 = a2, where the angle value of a1 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°. Or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8 103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 6 5.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Furthermore, the value of angle a3 is either equal to or unequal to a1; or, b12 = b23 and b13 = 360° - b12 - b23 and b13 < 180°, and b12 is either 99.7356°, 100.8123°, 102.0475°, 103.2826°, 105°, 106.7786°, 107.6322°, 108°, 108.4349°, 109.4712°, or 10.9051°. °, or 112.5°, or 114.0949°, or 116.5651°, or 117.3768°, or 118.2213°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.942 4°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4 349°, or 155.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°; or, b12, b23, and b13 are all unequal, and b12 has the following values: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, or 22°. 5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 4 1.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, Or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644° °, or 90°, or 99.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 105°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 10.9051°, or 112.5°, or 114.0949°, or 116.5651°, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127 0.9525°, or 128.9424°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427° °, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 155.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°. Furthermore, a1 = a2, where the angle value of a1 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°. Or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41°. 8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644° Furthermore, the value of angle a3 is either equal to or unequal to a1.
21. A structural unit as described in claim 1 or 16, characterized in that, The structural unit has at least four static axes: static axis one, static axis two, static axis three, and static axis four. At least two of these static axes are not parallel, do not coincide, and do not intersect. Each of static axes one, two, three, and four has at least one projection axis on the XOY plane of the coordinate system: static axis projection axis one, static axis projection axis two, static axis projection axis three, and static axis projection axis four. The structural unit has at least four tilt angles: tilt angle one a1, tilt angle two a2, tilt angle three a3, and tilt angle four a4. These tilt angles are the line-plane angles between static axes one, two, three, and four and the XOY plane of the coordinate system, respectively. The structural unit has at least four projection angles b12, b23, b34, and b14, among which: In a sequence of four consecutive static spatial angles, at least one static spatial angle has a value greater than 0° and less than or equal to 90°, and starting from the second consecutive sequence, the static spatial angles have a value greater than or equal to 0° and less than or equal to 90°. The range of the static space included angle C12 is: 0°<C12≤90°; the range of the static space included angle C23 is: 0°≤C23≤90°; the range of the static space included angle C34 is: 0°≤C34≤90°; and the range of the static space included angle C14 is: 0°≤C14≤90°. The range of angle values for the four tilt angles is as follows: The range of angle values for inclination angle 1 (a1) is: 0° < a1 < 90°; the range of angle values for inclination angle 2 (a2) is: 0° < a2 < 90°; the range of angle values for inclination angle 3 (a3) is: 0° < a3 < 90°; and the range of angle values for inclination angle 4 (a4) is: 0° < a4 < 90°. Four consecutive projected angles, at least one of which has an angle value greater than 0° and less than 180°, and the angle values of consecutive projected angles starting from the second one and alternating projected angles are all greater than 0° and less than or equal to 180°. The range of the projection angle b12 is: 0° < b12 < 180°; the range of the projection angle b23 is: 0° < b23 ≤ 180°; the range of the projection angle b34 is: 0° < b34 ≤ 180°; and the range of the projection angle b14 is: 0° < b14 ≤ 180°. The projection angles of the alternating sequence are: b13, b24.
22. A structural unit as described in claim 21, characterized in that, The static axes 1, 2, 3, and 4 form a continuous sequence of static space angles C12, C23, C34, and C14. Correspondingly, these static space angles C12, C23, C34, and C14 also have a continuous sequence of end space angles, cu1u2, cu2u3, cu3u4, and cu1u4. The combinations of these angle values are as follows: All four angles are equal and each is 90°. Alternatively, all four angles are equal, and C12 = C23 = C34 = C14 with angle values of 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, 26.5651°, or 28.2°. 213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 5 4°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525° , or 79.1877°, or 80.2644°, and cu1u2+cu2u3+cu3u4+cu1u4=360°, the sum of the four angles is 360°, and there is an included angle cu1u2=180°-cu2u3=cu3u4=180°-cu1u4, and cu1u2+cu2u3=180°, cu1u2+cu1u4=180°, cu1u2=cu3u4, cu2u3=cu1u4; Alternatively, all four angles are equal, and C12 = C23 = C34 = C14, with angle values of 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, or 24.0°. 949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51 0.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.094 8°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, and cu1u2=cu2u3=cu3u4=cu1u4, then cu1u2+cu2u3+cu3u4+cu1u4 is less than 360°; Alternatively, among the four static spatial angles C12, C23, C34, and C14, exactly three angle values are all equal. The magnitudes of these three equal angle values are: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, or 19.47°. 12°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 3 8.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349 °, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 90°; Alternatively, among the four static spatial angles C12, C23, C34, and C14, exactly two angle values are equal. The magnitudes of these two equal angle values are: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, or 19.471°. 2°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38 0.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349° , or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 90°; Alternatively, among the four static spatial angles C12, C23, C34, and C14, there are two sets of angle values, each with two equal angle values, and the two sets are equal in all directions. The magnitude of one angle value in each set is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, or 18.4349°. °, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.952 5°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.43 49°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 90°.
23. A structural unit as described in claim 21, characterized in that, The inclination angles a1, a2, a3, and a4 are: Given that a1 = a2 = a3 = a4, the angle value of a1 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, or 22.5°. , or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41. 8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 6 5.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, three angles of inclination are all equal, a1 = a2 = a3, and the angular values of a1 and a4 are not equal; or a1 = a2 = a4, and the angular values of a1 and a3 are not equal; or a1 = a3 = a4, and the angular values of a1 and a2 are not equal; or a2 = a3 = a4, and the angular values of a1 and a2 are not equal; wherein the angular values of the three equal angles of inclination are 9.7356°, or 10.8123°, or 12.04°. 75°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, Or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, two of a1, a2, a3, and a4 are equal, and / or the other two are equal. The two sets of angle values are not equal, such that a1 = a2 and / or a3 = a4; a1 = a3 and / or a2 = a4; a1 = a4 and / or a2 = a4. The values of the two sets of equal angles are 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16°. 7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.86 96°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61 0.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°.
24. A structural unit as described in claim 21, characterized in that, The four projection angles b12, b23, b34, and b14 are: Of the four projected angles, the sum of three of them is 180° and they are all equal. Therefore, b12, b23, and b34 are all equal, b12 = b23 = b34 = 60°, and b14 is 180°. Alternatively, if the sum of three of the four projected angles is 360° and they are all equal, then b12, b23, and b34 are all equal, and b12 = b23 = b34 = 120°. Alternatively, if three of the four projected angles are all equal, then b12, b23, and b34 are all equal, or b23, b34, and b14 are all equal, or b34, b14, and b12 are all equal, or b14, b12, and b23 are all equal. The angle values of the three equal projected angles are 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, 26.5651°, 28.2213°, 30°, or 31°. 0.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.62 26°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948° Or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 99.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 105°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 10.9051°, or 112.5°, or 114.0949°, or 116.5651°, or 117.3768°, or 118.2213°, or 121.717 5°, or 123.5573°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°. 142.0475°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 155.9051°, or 142°.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°; Alternatively, if the included angles of the four corner projections are all equal (b12, b23, b34, b14), then b12 = b23 = b34 = b14, which is 90°. Alternatively, the sum of the four projected angles is 360°, so b12 + b23 + b34 + b14 = 360°, and b12 = b34 and b23 = b14. The angle values of b12 and b23 are not equal, and the angle value of b12 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, or 15°. Or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.264 4°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304° Or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.565° 1°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 99.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 105°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 10.9051°, or 112.5°, or 114.0949°, or 116.5651°, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.557 3°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°, 142.0475°, 1 42.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 155.9051°, or 142.0475°, or 157°.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°.
25. A structural unit as described in claim 21, characterized in that, The four tilt angles a1, a2, a3, a4, and the four projection angles b12, b23, b34, b14 are: Of the four projected angles, three sum to 180° and are all equal. Therefore, b12, b23, and b34 are all equal (b12 = b23 = b34 = 60°), and b14 is 180°. Furthermore, of the four inclination angles a1, a2, a3, and a4, four angle values are all equal, or three angle values are all equal, and the magnitudes of the equal angle values are 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, or 18.4349°. Or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.95 25°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63 0.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, if the sum of three of the four projected angles is 360° and they are all equal, then b12, b23, and b34 are all equal, and b12 = b23 = b34 = 120°. Furthermore, of the four inclination angles a1, a2, a3, and a4, four angle values are all equal, or three angle values are all equal, and the magnitudes of the equal angle values are 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, or 18.4349°. Or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.95 25°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63 0.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, if three of the four projected angles are all equal, then b12, b23, and b34 are all equal, or b23, b34, and b14 are all equal, or b34, b14, and b12 are all equal, or b14, b12, and b23 are all equal. The angle values of the three equal projected angles are 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, 26.5651°, 28.2213°, 30°, or 31°. 0.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.62 26°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948° Or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 99.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 105°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 10.9051°, or 112.5°, or 114.0949°, or 116.5651°, or 117.3768°, or 118.2213°, or 121.717 5°, or 123.5573°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°. 142.0475°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 155.9051°, or 142°.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°. and, The four inclination angles a1, a2, a3, and a4 have four values that are all equal, or three values that are all equal, and the values of the equal inclination angles are 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, or 18.4349°. 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.952° 5°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63 0.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, if the included angles of the four projected angles are all equal (b12, b23, b34, b14), then b12 = b23 = b34 = b14, which equals 90°. Furthermore, of the four inclination angles a1, a2, a3, and a4, four angle values are all equal, or three angle values are all equal, and the magnitudes of the equal angle values are 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, or 18.4349°. Or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.95 25°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63 0.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; or, The sum of the four projected angles is 360°, so b12 + b23 + b34 + b14 = 360°, and b12 = b34 and b23 = b14. The angle values of b12 and b23 are not equal, and the angle value of b12 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, 26.5651°, 28.2213°, 30°, 31.7175°, 33.5573°, or 35.2644°. °, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, Or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651° °, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 99.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 105°, or 106.7786°, or 1 07.6322°, or 108°, or 108.4349°, or 109.4712°, or 10.9051°, or 112.5°, or 114.0949°, or 116.5651°, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573 °, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°, 142.0475°, 1 42.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 155.9051°, or 142.0475°, or 157°.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°. Furthermore, of the four inclination angles a1, a2, a3, and a4, four angle values are all equal, or three angle values are all equal, and the magnitudes of the equal angle values are 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, or 18.4349°. Or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.95 25°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63 0.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°.
26. A structural unit as described in claim 1, 16, or 21, characterized in that, The structure has at least five static axes: static axis 1, static axis 2, static axis 3, static axis 4, and static axis 5. At least two of these static axes are not parallel, do not coincide, and do not intersect. Each of the static axes 1, 2, 3, 4, and 5 has at least one projection axis on the XOY plane of the coordinate system: static axis projection axis 1, static axis projection axis 2, static axis projection axis 3, static axis projection axis 4, and static axis projection axis 5. The structural unit has at least five tilt angles: tilt angle 1 a1, tilt angle 2 a2, tilt angle 3 a3, tilt angle 4 a4, and tilt angle 5 a5. These tilt angles are the line-plane angles between static axes 1, 2, 3, 4, and 5 and the coordinate system plane XOY, respectively. The structural unit also has at least five projected angles b12, b23, b34, b45, and b15, among which: Among the five consecutive static space angles, at least one static space angle has a value range greater than 0° and less than or equal to 90°, and the static space angles of each connecting sequence starting from the second consecutive sequence and the static space angles of alternating sequences have a value range greater than or equal to 0° and less than or equal to 90°. The range of the static space included angle C12 is: 0°<C12≤90°; the range of the static space included angle C23 is: 0°≤C23≤90°; the range of the static space included angle C34 is: 0°≤C34≤90°; the range of the static space included angle C45 is: 0°≤C45≤90°; and the range of the static space included angle C15 is: 0°≤C15≤90°. The included angles of the static spaces in the alternating sequence are C13, C24, C35, C14, and C25. The range of angle values for the five tilt angles is as follows: The range of angle values for inclination angle 1 (a1) is: 0° < a1 < 90°; the range for angle value 2 (a2) is: 0° < a2 < 90°; the range for angle value 3 (a3) is: 0° < a3 < 90°; the range for angle value 4 (a4) is: 0° < a4 < 90°; and the range for angle value 5 (a5) is: 0° < a5 < 90°. Five consecutive projected angles, at least one of which has an angle value greater than 0° and less than 180°, and the angle values of consecutive projected angles starting from the second one and alternating projected angles are all greater than 0° and less than or equal to 180°. The range of the projection angle b12 is: 0° < b12 < 180°; the range of the projection angle b23 is: 0° < b23 ≤ 180°; the range of the projection angle b34 is: 0° < b34 ≤ 180°; the range of the projection angle b45 is: 0° < b45 ≤ 180°; and the range of the projection angle b15 is: 0° < b15 ≤ 180°. The projection angles of the alternating sequence are: b13, b24, b35, b14, b25.
27. A structural unit as described in claim 26, characterized in that, The static axes 1, 2, 3, 4, and 5 form static space angles C12, C23, C34, C45, and C15, and also have alternating static space angles C13, C24, C35, C14, and C25. Correspondingly, each of the static space angles C12, C23, C34, C45, and C15 has an end-to-end space angle cu1u2, cu2u3, cu3u4, cu4u5, and cu1u5. The five static space angles C12, C23, C34, C45, and C15 have... The included angles of the five connected static spaces, C13, C24, C35, C14, and C25, are all equal, and the included angles of the five alternating static spaces, C13, C24, C35, C14, and C25, are also all equal. Thus, C12 = C23 = C34 = C45 = C15 = 72°, and cu1u2, cu2u3, cu3u4, cu4u5, and cu1u5 are all 72°. Alternatively, the included angles C13, C24, C35, C14, and C25 of the five connected static spaces are all equal, and the included angles C13, C24, C35, C14, and C25 of the five alternating static spaces are also all equal, so C12 = C23 = C34 = C45 = C15 = 72° and cu1u2, cu2u3, cu3u4, cu4u5, and cu1u5 are all 108°; Alternatively, if the included angles C13, C24, C35, C14, and C25 of the five connected static spaces are all equal, and the included angles C13, C24, C35, C14, and C25 of the five alternating static spaces are also all equal, then C12 = C23 = C34 = C45 = C15. Furthermore, the values of angle C12 are 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, 26.5651°, 28.2213°, 30°, 31.7175°, 33.5573°, 35.2644°, 36°, 36.8698°, 36.8696°, or 37.3774°. °, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°; Alternatively, the included angles of the five connected static spaces, C13, C24, C35, C14, and C25, are such that exactly four of them are all equal and the included angles of the five alternating static spaces are also partially equal, i.e., C12 = C23 = C34 = C45. Furthermore, the C12 angle values are 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°. °, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65°. 9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°.
28. A structural unit as described in claim 26, characterized in that, The relationship between the angle values of inclination angle 1 a1, inclination angle 2 a2, inclination angle 3 a3, inclination angle 4 a4, and inclination angle 5 a5 is as follows: All five inclination angles are equal, a1 = a2 = a3 = a4 = a5. The value of inclination angle a1 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, or 20°. 9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.94 24°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349 °, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, there are exactly four out of the five dip angles that are all equal: a1 = a2 = a3 = a4 and a1 and a5 are not equal; or a1 = a2 = a3 = a5 and a1 and a4 are not equal; or a1 = a2 = a4 = a5 and a1 and a3 are not equal; or a1 = a3 = a4 = a5 and a1 and a2 are not equal, and the values of the four identical dip angles are 9.7356°, or 10.8123°, or 12.0475°. Or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36 0.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, only three of the five dip angles are all equal, and the values of the three identical dip angles are: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, or 20°. 9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.94 24°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349 °, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, there may be one or two groups of five inclination angles, with two inclination angles in each group being equal. The inclination angle values in each group are: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, or 19.4712°. °, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 3 8.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.43 49°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°: Alternatively, all five inclination angles are equal, and the values of the five different inclination angles are: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, or 26.5651°. 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7 356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°.
29. A structural unit as described in claim 26, characterized in that, The relationships between the projection angles b12, b23, b34, b45, and b15 are as follows: b12 = b23 = b34 = b45 = b15 and b12 is 72°; Alternatively, b12 = b23 = b34 = b45 = b15 and b12 is 108°; Alternatively, three of the five projected angles are equal, and the three projected angles b12=b23=b34 are all equal and equal to 90°; Alternatively, four of the five projected angles are equal, and the four projected angles b12 = b23 = b34 = b45 are all equal. Among these, the value of angle b12 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, 26.5651°, 28.2213°, 30°, 31.7175°, 33.5573°, 35.2644°, or 36°. 8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°; Alternatively, four of the five projected angles are equal, and these four projected angles b12 = b23 = b34 = b45 are all equal and greater than 90°. Furthermore, the value of angle b12 is one of the following: 108.4349°, 109.4712°, 110.9051°, 112.5°, 114.0949°, 116.5651°, or 117.37°. 68°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 135°, or 13 8.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 155.9°. 051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°.
30. A structural unit as described in claim 26, characterized in that, The five tilt angles a1, a2, a3, a4, a5, and the projection angles b12, b23, b34, b45, b15 have the following values: b12 = b23 = b34 = b45 = b15 and b12 is 72°, and five of the five dip angles are all equal, or exactly four are all equal. The angular values of the five or four equal dip angles are: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, or 1 8°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774° °, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786° , or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, b12 = b23 = b34 = b45 = b15, and b12 is 108°, and five of the five dip angles are all equal, or exactly four are all equal. The angular values of the five or four equal dip angles are: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, or 17.6322°. Or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.37 74°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786 °, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, three of the five projected angles are equal, and the three projected angles b12 = b23 = b34 are all equal and equal to 90°. Furthermore, the angular values of the four equal angles among the five tilt angles are: 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 1... 8°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774° °, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786° , or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, four of the five projected angles are equal, and all four projected angles b12 = b23 = b34 = b45 are equal. Furthermore, the value of angle b12 is either less than 72° or greater than 108°. The possible values of angle b12 are: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, 26.5651°, 28.2213°, 30°, 31.7175°, 33.5573°, or 35.2644°. Or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 5 4°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°. Or, 108.4349°, or 109.4712°, or 110.9051°, or 112.5°, or 114.0949°, or 116.5651°, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°, 142.0475°, 14 2.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 155.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°. Furthermore, five of the five dip angles are all equal, or exactly four are all equal. The angular values of the five or four equal dip angles are: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, or 19.471°. 2°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4 349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; or, Three of the five projected angles are equal, and the three projected angles b12 = b23 = b34 are all equal and are either 72° or 108°. Furthermore, at least three of these angles have equal values: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, or 17°. 0.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 3 7.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.77 86°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°.
31. A structural unit as described in claim 26, characterized in that, The single structure has at least six static axes: static axis 1, static axis 2, static axis 3, static axis 4, static axis 5, and static axis 6. At least three of these static axes are non-parallel, non-coincident, and non-intersecting. Each of these static axes has at least one projection axis on the XOY plane of the coordinate system. The static axis projection axes 1, 2, 3, 4, 5, and 6 are also projected onto the XOY plane. The structural unit has at least six tilt angles: tilt angle 1 a1, tilt angle 2 a2, tilt angle 3 a3, tilt angle 4 a4, tilt angle 5 a5, and tilt angle 6 a6. These tilt angles a1, a2, a3, a4, a5, and a6 are the angles between the stationary axes 1, 2, 3, 4, 5, and 6 and the XOY plane of the coordinate system, respectively. The structural unit also has at least six projected angles: b12, b23, b34, b45, b56, and b16. Among them are: Six consecutive static spatial angles, at least one of which has an angle value greater than 0° and less than or equal to 90°, and the angle values of the consecutive static spatial angles starting from the second one also have an angle value greater than or equal to 0° and less than or equal to 90°: The range of the static space included angle C12 is: 0°<C12≤90°; the range of the static space included angle C23 is: 0°≤C23≤90°; the range of the static space included angle C34 is: 0°≤C34≤90°; the range of the static space included angle C45 is: 0°≤C45≤90°; the range of the static space included angle C56 is: 0°≤C56≤90°; and the range of the static space included angle C16 is: 0°≤C16≤90°. The range of the static space angles between each phase sequence is greater than or equal to 0° and less than or equal to 90°. The static space angles between phase sequences are C13, C24, C35, C46, C14, C25, C36, C15, and C26. The range of angle values for the six tilt angles is as follows: The range of angle values for inclination angle 1 (a1) is: 0° < a1 < 90°; for inclination angle 2 (a2), the range is: 0° < a2 < 90°; for inclination angle 3 (a3), the range is: 0° < a3 < 90°; for inclination angle 4 (a4), the range is: 0° < a4 < 90°; for inclination angle 5 (a5), the range is: 0° < a5 < 90°; and for inclination angle 6 (a6), the range is: 0° < a6 < 90°. Six consecutive projected angles, at least one of which has an angle value greater than 0° and less than 180°, and the angle values of consecutive projected angles starting from the second one and alternating projected angles are all greater than 0° and less than or equal to 180°: Projected angle b12: 0° < b12 < 180°; Projected angle b23: 0° < b23 ≤ 180°; Projected angle b34: 0° < b34 ≤ 180°; Projected angle b45: 0° < b45 ≤ 180°; Projected angle b56: 0° < b56 ≤ 180°; Projected angle b16: 0° < b16 ≤ 180°. The projection angles of the alternating sequence are: b13, b24, b35, b46, b14, b25, b36, b15, b26, b16.
32. A structural unit as described in claim 31, characterized in that, The static axes 1, 2, 3, 4, 5, and 6 form six consecutive static spatial angles C12, C23, C34, C45, C56, and C16, as well as six alternating static spatial angles C13, C24, C35, C46, and C15, and two alternating static spatial angles C14, C25, and C36. Correspondingly, the six consecutive static spatial angles C12, C23, C34, C45, C56, and C16 have... The angle values of the six static spaces in the continuous sequence are all equal, and the six angle values of the static spaces in each interval are also all equal, including C12=C23=C34=C45=C56=C16 and C12 has an angle value of 60°: cu1u2 or 60°, cu1u2 or 120°. Alternatively, the included angles of the six consecutive static spaces are all equal, and the included angles of the six alternating static spaces are also all equal, and C12 = C23 = C34 = C45 = C56 = C16, and correspondingly, cu1u2 = cu2u3 = cu3u4 = cu4u5 = cu5u6 = cu1u6, and correspondingly, C12 = cu1u2, C23 = cu2u3, C34 = cu3u4, C45 = cu4u5, C56 = cu5u6, C16 = cu1u6, and the angle value of C12 = cu1u2 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, or 17.6322°. Or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696° , or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°; Alternatively, C12 = C23 = C34 = C45 = C56, and C16 and C12 are not equal. And correspondingly, C12 = cu1u2, C23 = cu2u3, C34 = cu3u4, C45 = cu4u5, C56 = cu5u6, and cu1u2 = cu2u3 = cu3u4 = cu4u5 = cu5u6, and C12 = cu1u2. The angular value is 9.7356°, or 10.8123°, or 12.04°. 75°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.55° 73°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1 304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°; Alternatively, three of the six static space angles are all equal, and / or the other three static space angles are all equal, that is, C13=C35=C15 and / or C24=C46=C26, and the two sets are not equal.
33. A structural unit as described in claim 31, characterized in that, The inclination angles a1, a2, a3, a4, a5, and a6 have six inclination angles that are all equal, or exactly five inclination angles that are all equal, or exactly four inclination angles that are all equal, or one or two groups of three inclination angles within each group that are equal, and the two groups are not equal to each other. The relationship between the inclination angles is as follows: Alternatively, there are six angles of inclination that are all equal, where a1 = a2 = a3 = a4 = a5 = a6. Among these, the angle value of a1 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°. 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7 356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, there are exactly five angles of inclination that are all equal, where a1 = a2 = a3 = a4 = a5, and the angle value of a1 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°. °, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 3 8.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.43 49°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, there are exactly four angles of inclination that are all equal, where a1 = a2 = a3 = a4, and the angle value of a1 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.905 1°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; or, three angles are in one group that are all equal and / or another three angles are in one group that are all equal, where a1 = a2 = a3 and / or a4 = a5 = a6; or, a1 = a3 = a5 and / or a2 = a4 = a6, where the angle values in each of the equal groups or in each of the two equal groups are 9.7356°, or 10. 8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1 897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°.
34. A structural unit as described in claim 31, characterized in that, The relationships between the projection angles b12, b23, b34, b45, b56, and b16 are as follows: Or, b12 = b23 = b34 = b45 = b56 = b16, and there is a total phase equal to 60°; Or, b12 = b23 = b34 = b45 = b56 = b16, and there is a total phase equal to 120°; Alternatively, b12 = b23 = b34 = b45 = b56, there are exactly five projection angles that are all equal, and the value of the equal angle is not equal to 60° and is less than 72°. Among them, the angle value of b12 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 3 6°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°; Alternatively, b12 = b23 = b34 = b45, there are exactly four projection angles that are all equal, and the values of these equal angles are not equal to 90° and 60°, and are also less than 90°. Among them, the angle value of b12 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°. °, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.377 4°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, the four projected angles b12, b23, b35, and b15 form a group, the sum of which is 360°. Each pair of angles is equal to the others, and the sum of any two adjacent angles is 180°. Furthermore, b12 = b35, b23 = b15, and b12 + b23 = 180°. The value of angle b12 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, 26.5651°, 28.2213°, or 30°. 1.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52. 6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 90°, or 99.7356°, or 100.8123°, or 102.0475° , or 103.2826°, or 105°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 10.9051°, or 112.5°, or 114.0949°, or 116.5651°, or 117.3768°, or 118°. 2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153°.4349°, or 155.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°; Alternatively, there may be one group of three projected angles, and the sum of the triangles in the group is 180°. There may be one or two groups, where b13 = b35 = b15 and / or b24 = b46 = b26. In this group or the two groups, the three projected angles are all equal, and the angles in one group are all 60°. Alternatively, there may be one group of three projected angles, and the sum of the triangles in the group is 180°. There may be one or two groups, where b13 = b35 = b15 and / or b24 = b46 = b26. In this group or the two groups, the three projected angles are all equal, and the angles in one group are all 120°.
35. A structural unit as described in claim 31, characterized in that, The relationships between the projection angles b12, b23, b34, b45, b56, and b16 are as follows: Alternatively, b12 = b23 = b34 = b45 = b56 = b16, and there exists a total phase of 60°. Furthermore, all six dip angles must be equal: a1 = a2 = a3 = a4 = a5 = a6; or all five dip angles must be equal: a1 = a2 = a3 = a4 = a5; or all four dip angles must be equal: a1 = a2 = a3 = a4; or all three dip angles must be equal: a1 = a3 = a5. The angular value of the equal dip angle a1 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, or 15°. Or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36 0.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, b12 = b23 = b34 = b45 = b56 = b16, and there exists a total phase of 120°. Furthermore, there are six equal dip angles: a1 = a2 = a3 = a4 = a5 = a6; or five equal dip angles: a1 = a2 = a3 = a4 = a5; or four equal dip angles: a1 = a2 = a3 = a4; or three equal dip angles: a1 = a3 = a5. The angular values of the equal dip angles a1 are 9.7356°, 10.8123°, 12.0475°, 13.2826°, or 15°. °, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 3 6.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, there exist exactly five projection angles that are all equal: b12 = b23 = b34 = b45 = b56. Furthermore, the value of each of these equal angles is neither equal to 60° nor less than 72°. Specifically, the angle value of b12 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, 26.5651°, 28.2213°, 30°, 31.7175°, 33.5573°, 35.2644°, or 36°. Or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54° Or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, Furthermore, there are six equal dip angles: a1 = a2 = a3 = a4 = a5 = a6; or five equal dip angles: a1 = a2 = a3 = a4 = a5; or four equal dip angles: a1 = a2 = a3 = a4; or three equal dip angles: a1 = a3 = a5. The angular values of the equal dip angles a1 are 9.7356°, 10.8123°, 12.0475°, 13.2826°, or 15°. °, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 3 6.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°: or, There are exactly four projection angles that are all equal: b12 = b23 = b34 = b45. Furthermore, the values of these equal angles are not equal to 90° or 60°, and are also less than 90°. Among these, the angle value of b12 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°. Or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774 °, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Furthermore, there are six equal dip angles: a1 = a2 = a3 = a4 = a5 = a6; or five equal dip angles: a1 = a2 = a3 = a4 = a5; or four equal dip angles: a1 = a2 = a3 = a4; or three equal dip angles: a1 = a3 = a5. The angular values of the equal dip angles a1 are 9.7356°, 10.8123°, 12.0475°, 13.2826°, or 15°. °, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 3 6.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, the four projected angles b12, b23, b35, and b15 form a group, the sum of which is 360°. Each pair of angles is equal to the others, and the sum of any two adjacent angles is 180°. Furthermore, b12 = b35, b23 = b15, and b12 + b23 = 180°. The value of angle b12 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, 26.5651°, 28.2213°, or 30°. 1.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52. 6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 90°, or 99.7356°, or 100.8123°, or 102.0475° , or 103.2826°, or 105°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 10.9051°, or 112.5°, or 114.0949°, or 116.5651°, or 117.3768°, or 118°. 2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153°.4349°, or 155.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°. Furthermore, there are six equal dip angles: a1 = a2 = a3 = a4 = a5 = a6; or five equal dip angles: a1 = a2 = a3 = a4 = a5; or four equal dip angles: a1 = a2 = a3 = a4; or three equal dip angles: a1 = a3 = a5. The angular values of the equal dip angles a1 are 9.7356°, 10.8123°, 12.0475°, 13.2826°, or 15°. °, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 3 6.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, there may be one or two groups of three projected angles, where the sum of the triangles within the group is 180°. In one or both groups, either b13 = b35 = b15 and / or b24 = b46 = b26, and all three projected angles within this group or both groups are equal. In one group, all the included angles are 60°, and six angles are equal: a1 = a2 = a3 = a4 = a5 = a6; or five angles are equal: a1 = a2 = a3 = a4 = a5; or four angles are equal: a1 = a2 = a3 = a4. All three inclination angles are equal: a1 = a3 = a5. The values of the equal inclination angles a1 are: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, 26.5651°, 28.2213°, or 30°. Or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 5 6.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, there may be one or two groups of three projected angles, where the sum of the triangles within the group is 180°. In one or both groups, either b13 = b35 = b15 and / or b24 = b46 = b26, and all three projected angles within this group or both groups are equal. In one group, all the included angles within the group may be 120°. Furthermore, there are six equal dip angles: a1 = a2 = a3 = a4 = a5 = a6; or five equal dip angles: a1 = a2 = a3 = a4 = a5; or four equal dip angles: a1 = a2 = a3 = a4; or three equal dip angles: a1 = a3 = a5. The angular values of the equal dip angles a1 are 9.7356°, 10.8123°, 12.0475°, 13.2826°, or 15°. °, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 3 6.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, there may be one or two groups of two projected angles, where the sum of the triangles within the group is 180°. In these groups, either b13 = b35 = b15 and / or b24 = b46 = b26, and the three projected angles within each group are all equal. Furthermore, b13 and b24 are not equal. Additionally, there are six angles of inclination that are all equal: a1 = a2 = a3 = a4 = a5 = a6; or five angles of inclination that are all equal: a1 = a2 = a3 = a4 = a5; or four angles of inclination that are all equal: a1 = a2 = a3 = a4; or three angles of inclination that are all equal: a1 = a2 = a3 = a4. All inclination angles are equal: a1 = a3 = a5. The values of the equal inclination angles a1 are: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, 26.5651°, 28.2213°, or 30°. Or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 5 6.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°.
36. A structural unit as described in claim 31, characterized in that, The structure has at least eight static axes: static axis 1, static axis 2, static axis 3, static axis 4, static axis 5, static axis 6, static axis 7, and static axis 8. Among static axes 1, 2, 3, 4, 5, 6, 7, and 8, at least two are non-parallel, non-coincident, and non-intersecting. Each of static axes 1, 2, 3, 4, 5, 6, 7, and 8 has at least one projection axis on the XOY plane of the coordinate system. The static axis projection axes 1, 2, 3, 4, 5, 6, 7, and 8 are also present. The single-unit structure has at least eight tilt angles: tilt angle 1 a1, tilt angle 2 a2, tilt angle 3 a3, tilt angle 4 a4, tilt angle 5 a5, tilt angle 6 a6, tilt angle 7 a7, and tilt angle 8 a8. These tilt angles a1, a2, a3, a4, a5, a6, a7, and a8 are the line-plane angles between static axes 1, 2, 3, 4, 5, 6, 7, and 8 and the coordinate system plane XOY, respectively. The single-unit structure also has at least eight consecutive sequential projected angles b12, b23, b34, b45, b56, b67, b78, and b18. Among them are: Of the eight consecutive static space angles, at least one has a value ranging from 0° to C12 and then to 90°. The values of the remaining consecutive static space angles, starting from the second, range from 0° to 90°: C12 has a value ranging from 0° to 90°; C23 has a value ranging from 0° to 90°; and C34 has a value ranging from 0° to 90°. The values range for the static space included angles are: 0°≤C34≤90°, C45°, C56°, C67°, C78°, and C18°. The range of the static space angles between each phase sequence is greater than or equal to 0° and less than or equal to 90°. The static space angles between phase sequences are C13, C24, C35, C46, C57, C68, C14, C25, C36, C15, C26, C37, C48, C16, C27, C38, C17, and C28. The angle values for the eight tilt angles range from greater than 0° to less than 90°. The range of angle values for inclination angle 1 (a1) is: 0° < a1 < 90°; for inclination angle 2 (a2), the range is: 0° < a2 < 90°; for inclination angle 3 (a3), the range is: 0° < a3 < 90°; for inclination angle 4 (a4), the range is: 0° < a4 < 90°; for inclination angle 5 (a5), the range is: 0° < a5 < 90°; for inclination angle 6 (a6), the range is: 0° < a6 < 90°; for inclination angle 7 (a7), the range is: 0° < a7 < 90°; and for inclination angle 8 (a8), the range is: 0° < a8 < 90°. Of the eight consecutive projected angles, at least one of them has an angle value greater than 0° and less than 180°. The range of projection angles for the second and subsequent alternating projection angles is greater than 0° and less than or equal to 180°: Projection angle b12: 0° < b12 < 180°; Projection angle b23: 0° < b23 ≤ 180°; Projection angle b34: 0° < b34 ≤ 180°; Projection angle b45: 0° < b45 ≤ 180°; Projection angle b56: 0° < b56 ≤ 180°; Projection angle b67: 0° < b67 ≤ 180°; Projection angle b78: 0° < b78 ≤ 180°; Projection angle b18: 0° < b18 ≤ 180°. The projection angles of the alternating sequence are: b13, b24, b35, b46, b57, b68, b14, b25, b36, b47, b58, b15, b26, b37, b48, b16, b27, b38, b17, b28.
37. A structural unit as described in claim 36, characterized in that, The eight consecutive static space angles C12, C23, C34, C45, C56, C67, C78, C18, and the static space angles that alternate by one, two, or three, also include C13, C14, C15, C16, C17, C24, C25. C26, C27, C28, C35, C36, C37, C38, C46, C47, C48, C57, C58, etc., among which... The eight consecutive static space angles C12, C23, C34, C45, C56, C67, C78, and C18 are all equal and equal to 45°. Alternatively, the included angles C12, C23, C34, C45, C56, C67, C78, and C18 in eight consecutive static spaces are all equal and 45°. Among them, the corresponding values are cu1u2 = cu2u3 = cu3u4 = cu4u5 = cu5u6 = cu6u7 = cu7u8 = cu1u8, all of which are 45° or all of which are 135°. Alternatively, there are six consecutive and / or alternating static space angles, all of which are equal, or such as C12=C23=C34=C45=C58=C18, where all six angle values are equal or 60°, and the corresponding ones are cu1u2=cu2u3=cu3u4=cu4u5=cu5u8=cu5u8, all of which are 60° or all of which are 120°; Alternatively, there are five consecutive and / or alternating static space angles, all of which are equal, or such as C12=C23=C34=C48=C18, where all five angle values are equal or 72°, and the corresponding ones are cu1u2=cu2u3=cu3u4=cu4u8=cu1u8, all of which are 60° or all of which are 120°; Alternatively, there are four consecutive and / or alternating static space angles forming a group, and one group and / or another four also forming a group, in which the angle values of the four angles in each group are all equal, or such as C12=C23=C38=C18, and / or, C45=C56=C67=C47. In one group, there are four angle values that are all equal or 90°, and the corresponding ones are cu1u2=cu2u3=cu3u8=cu1u8, all of which are 90°. Alternatively, there may be a group of three consecutive and / or alternating static spatial angles, or a group of three and / or three from other groups, where the angle values of the three angles in each group are all equal, such as C12=C28=C18, and / or C46=C67=C47. In one group, there may be four angle values that are all equal or 60°, where the corresponding values are cu1u2=cu2u3=cu3u8=cu1u8, all of which are 90° or all of which are 120°.
38. A structural unit as described in claim 36, characterized in that, The inclination angles a1, a2, a3, a4, a5, a6, a7, and a8 are either all eight angles of equal size, or there are exactly seven angles of equal size, or exactly six angles of equal size, or exactly five angles of equal size, or there may be one or two groups, each group having four or three angles of equal size, with the angle values as follows: Alternatively, there exist exactly eight angles of equal magnitude, a1 = a2 = a3 = a4 = a5 = a6 = a7 = a8, and the value of angle a1 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, or 18.4349°. Or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.952° 5°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63 0.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Or, there exist exactly seven angles of inclination that are all equal in magnitude, a1 = a2 = a3 = a4 = a5 = a6 = a7, and the value of angle a1 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 1 9.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525° °, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63°. 4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, there exist exactly six angles of equal magnitude, a1 = a2 = a3 = a4 = a5 = a6, and the value of angle a1 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, or 19.4°. 712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°. Or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4 349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, there exist exactly five angles of inclination that are all equal in magnitude, a1 = a2 = a3 = a4 = a5, and the value of angle a1 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, or 19.4712°. °, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 3 8.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.43 49°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, there may be a group of four angles of equal magnitude and / or another group of four angles of equal magnitude, where a1 = a2 = a3 = a4, and the angle value of angle a1 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°. Or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.95 25°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63 0.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, there may be a group of three angles of equal magnitude and / or another group of three angles of equal magnitude, where a1 = a2 = a3, and the angle value of angle a1 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.952° 5°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63 0.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°.
39. A structural unit as described in claim 36, characterized in that, The projection angles b12, b23, b34, b45, b56, b67, b78, b18, and the angular relationships of the projection angles in alternating order are as follows: Alternatively, all eight projected angles are equal: b12 = b23 = b34 = b45 = b56 = b67 = b78 = b18, all being 45°. Alternatively, all eight projected angles are equal: b12 = b23 = b34 = b45 = b56 = b67 = b78 = b18, all being 135°. Alternatively, seven of the eight projected angles are equal: b12 = b23 = b34 = b45 = b56 = b67 = b78. Among them, the angle value of b12 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20°. 9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°; Alternatively, six of the eight projected angles are equal: b12 = b23 = b34 = b45 = b56 = b67 = b78. Among them, the angle value of b12 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20°. 9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°; Alternatively, five of the eight projected angles are equal: b12 = b23 = b34 = b45 = b56 = b67 = b78. Among them, the angle value of b12 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20°. 9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°; Alternatively, the eight projected angles can be grouped into four sets: b13, b35, b57, and b17, where b13 = b57 and b35 = b17, and b13 and b35 are either equal or unequal. The sum of the four projected angles is 360°, and the angle value of b13 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, or 26.5651°. 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7 356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Or 90° Or 99.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 105°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 110.9051°, or 112.5°, or 114.0949°, or 116.565° 1°, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 1 35°, or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 15 5.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 177.9525°, or 169.1877°, or 170.2644°; Alternatively, the eight projected angles are grouped into three groups, or into one or two groups, and the three projected angles in each group are all equal and 60°. Alternatively, the eight projected angles can be grouped into three groups, or into one or two groups, with the three projected angles in each group being all equal and 120°.
40. A structural unit as described in claim 36, characterized in that, The eight tilt angles a1, a2, a3, a4, a5, a6, a7, a8, and the projection angles b12, b23, b34, b45, b56, b67, b78, b18, and the angular relationships of the alternating projection angles are as follows: Alternatively, all eight projected angles are equal: b12 = b23 = b34 = b45 = b56 = b67 = b78 = b18, all being 45°. Furthermore, there are eight equal angles of inclination: a1 = a2 = a3 = a4 = a5 = a6 = a7 = a8, or... There are exactly seven angles of inclination that are all equal: a1 = a2 = a3 = a4 = a5 = a6 = a8, or... There are exactly six angles of inclination that are all equal: a1 = a2 = a3 = a4 = a5 = a8, or... There are exactly five equal angles of inclination: a1 = a2 = a3 = a4 = a8, or... There are exactly four angles of inclination that are all equal: a1 = a2 = a3 = a8, or... There are exactly three equal angles of inclination: a1 = a2 = a8. Furthermore, the values of several equal angles of inclination are 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°. °, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41 0.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, all eight projected angles are equal: b12 = b23 = b34 = b45 = b56 = b67 = b78 = b18, all being 135°. Furthermore, there are eight equal angles of inclination: a1 = a2 = a3 = a4 = a5 = a6 = a7 = a8, or... There are exactly seven angles of inclination that are all equal: a1 = a2 = a3 = a4 = a5 = a6 = a8, or... There are exactly six angles of inclination that are all equal: a1 = a2 = a3 = a4 = a5 = a8, or... There are exactly five equal angles of inclination: a1 = a2 = a3 = a4 = a8, or... There are exactly four angles of inclination that are all equal: a1 = a2 = a3 = a8, or... There are exactly three equal angles of inclination: a1 = a2 = a8. Furthermore, the values of several equal angles of inclination are 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, 26.5651°, and 28.2213°. Or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, Or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; or, Of the eight projected angles, seven are equal: b12 = b23 = b34 = b45 = b56 = b68 = b18. The angle value of b12 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, or 20.9°. 0.51°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°. Furthermore, there are eight equal angles of inclination: a1 = a2 = a3 = a4 = a5 = a6 = a7 = a8, or... There are exactly seven angles of inclination that are all equal: a1 = a2 = a3 = a4 = a5 = a6 = a8, or... There are exactly six angles of inclination that are all equal: a1 = a2 = a3 = a4 = a5 = a8, or... There are exactly five equal angles of inclination: a1 = a2 = a3 = a4 = a8, or... There are exactly four angles of inclination that are all equal: a1 = a2 = a3 = a8, or... There are exactly three equal angles of inclination: a1 = a2 = a8. Furthermore, the values of several equal angles of inclination are 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°. °, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41 0.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; or, Of the eight projected angles, six are all equal: b12 = b23 = b34 = b45 = b58 = b18. The values of b12 are 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, and 26.5651°. 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°. Furthermore, there are eight equal angles of inclination: a1 = a2 = a3 = a4 = a5 = a6 = a7 = a8, or... There are exactly seven angles of inclination that are all equal: a1 = a2 = a3 = a4 = a5 = a6 = a8, or... There are exactly six angles of inclination that are all equal: a1 = a2 = a3 = a4 = a5 = a8, or... There are exactly five equal angles of inclination: a1 = a2 = a3 = a4 = a8, or... There are exactly four angles of inclination that are all equal: a1 = a2 = a3 = a8, or... There are exactly three equal angles of inclination: a1 = a2 = a8. Furthermore, the values of several equal angles of inclination are 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°. °, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41 0.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, five of the eight projected angles are equal: b12 = b23 = b34 = b48 = b18. The angle value of b12 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, or 26.5651°. 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°. Furthermore, there are eight equal angles of inclination: a1 = a2 = a3 = a4 = a5 = a6 = a7 = a8, or... There are exactly seven angles of inclination that are all equal: a1 = a2 = a3 = a4 = a5 = a6 = a8, or... There are exactly six angles of inclination that are all equal: a1 = a2 = a3 = a4 = a5 = a8, or... There are exactly five equal angles of inclination: a1 = a2 = a3 = a4 = a8, or... There are exactly four angles of inclination that are all equal: a1 = a2 = a3 = a8, or... There are exactly three equal angles of inclination: a1 = a2 = a8. Furthermore, the values of several equal angles of inclination are 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°. °, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41 0.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, the eight projected angles can be grouped into four sets: b13, b35, b57, and b17, where b13 = b57 and b35 = b17, and b13 and b35 are either equal or unequal. The sum of the four projected angles is 360°, and the angle value of b13 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, or 26.5651°. 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 90°, or 99.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 105°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.471° 2°, or 110.9051°, or 112.5°, or 114.0949°, or 116.5651°, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.3698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 1 43.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 155.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 177.9525°, or 169.1877°, or 170.2644°. Furthermore, there are eight equal angles of inclination: a1 = a2 = a3 = a4 = a5 = a6 = a7 = a8, or... There are exactly seven angles of inclination that are all equal: a1 = a2 = a3 = a4 = a5 = a7 = a8, or... There are exactly six angles of inclination that are all equal: a1 = a3 = a5 = a6 = a7 = a8, or... There are exactly five angles of inclination that are all equal: a1 = a3 = a5 = a7 = a8, or... There are exactly four angles of inclination that are all equal: a1 = a3 = a5 = a7, or... There are exactly three equal angles of inclination: a1 = a3 = a5. Furthermore, the values of several equal angles of inclination are 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°. °, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41 0.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, there are eight projected angles grouped into three groups, or one or two groups, where the three projected angles within each group are all equal and 60°, and there are eight equal angles of inclination: a1 = a2 = a3 = a4 = a5 = a6 = a7 = a8, or... There are exactly seven angles of inclination that are all equal: a1 = a2 = a3 = a4 = a5 = a7 = a8, or... There are exactly six angles of inclination that are all equal: a1 = a3 = a5 = a6 = a7 = a8, or... There are exactly five angles of inclination that are all equal: a1 = a3 = a5 = a7 = a8, or... There are exactly four angles of inclination that are all equal: a1 = a3 = a5 = a7, or... There are exactly three equal angles of inclination: a1 = a3 = a5. Furthermore, the values of several equal angles of inclination are 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°. °, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41 0.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, the eight projected angles are grouped into three groups, or into one or two groups, where the three projected angles within each group are all equal and equal to 120°, and all eight angles of inclination are equal: a1 = a2 = a3 = a4 = a5 = a6 = a7 = a8, or... There are exactly seven angles of inclination that are all equal: a1 = a2 = a3 = a4 = a5 = a7 = a8, or... There are exactly six angles of inclination that are all equal: a1 = a3 = a5 = a6 = a7 = a8, or... There are exactly five angles of inclination that are all equal: a1 = a3 = a5 = a7 = a8, or... There are exactly four angles of inclination that are all equal: a1 = a3 = a5 = a7, or... There are exactly three equal angles of inclination: a1 = a3 = a5. Furthermore, the values of several equal angles of inclination are 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°. °, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41 0.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°.
41. The structural monomer as described in claim 31, characterized in that, The aforementioned structural unit has at least one main body with six connecting parts arranged in a ring and in a long strip shape. Each of the two consecutive connecting parts has two, three, four, five, six, seven, eight, nine, or ten static connection structures of the same or different number. The other two groups are each formed by two consecutive connecting parts arranged in a ring. The projection axes of the connecting axes of each static connection structure in each group are parallel or coincident on the XOY plane. The projection angle between the static axes of the six connecting parts is either 60°, 120°, or 180°. The projection angle between the projection axes of the other connecting axes of the six connecting parts and between the projection lines of different connecting parts is also either 60°, 120°, or 180°.
42. The structural unit as described in claim 31, characterized in that, The aforementioned structural unit has at least one main body, and the main body has six connecting parts. In each of the one or more connecting parts arranged in a continuous sequence, there are two, three, four, five, six, seven, eight, nine, ten or more static connection structures. The number of static connection structures in the one or more connecting parts arranged in a continuous sequence is greater than the number of static connection structures in the other connecting parts, so that the overall shape is an irregular hexagon. The included angle between the static axes of the six connecting parts is either 60°, 120° or 180°. The included angle between the projection axes of the other connecting axes of the six connecting parts and the included angle between the projection lines of different connecting parts is also either 60°, 120° or 180°.
43. The structural unit as described in claim 31, characterized in that, The aforementioned structural unit has at least one main body, and the main body has six connecting parts. Each connecting part has two, three, four, five, six, seven, eight, nine, ten or more static connection structures. The number of static connection structures in each connecting part may be partially equal, completely unequal or completely equal. The structural unit as a whole is equilateral hexagonal.
44. The structural unit as described in claim 16, wherein the structural unit has at least one main body, the main body has three connecting parts, and each connecting part has two, three, four, five, six, seven, eight, nine, ten or more static connection structures, the number of static connection structures in each connecting part is partially equal, completely unequal or completely equal, and the structural unit as a whole is a regular triangle or a regular triangle with obliquely twisted static connection structures.
45. The structural unit as claimed in claim 21, characterized in that, The aforementioned structural unit has at least one main body, and the main body has four connecting parts. Each connecting part has two, three, four, five, six, seven, eight, nine, ten, or more static connection structures. The number of static connection structures in each connecting part may be partially equal, completely unequal, or completely equal. The structural unit as a whole is a regular quadrilateral or a regular quadrilateral with obliquely twisted static connection structures.
46. The structural unit as claimed in claim 26, characterized in that, The aforementioned structural unit has at least one main body, and the main body has five connecting parts. Each connecting part has two, three, four, five, six, seven, eight, nine, ten, or more static connection structures. The number of static connection structures in each connecting part may be partially equal, completely unequal, or completely equal. The structural unit as a whole is a regular pentagon or a regular pentagon with obliquely twisted static connection structures.
47. The structural unit as claimed in claim 31, characterized in that, The aforementioned structural unit has at least one main body, and the main body has six connecting parts. Each connecting part has two, three, four, five, six, seven, eight, nine, ten or more static connection structures. The number of static connection structures in each connecting part may be partially equal, completely unequal or completely equal. The structural unit as a whole is a regular hexagon or a regular hexagon with obliquely twisted static connection structures.
48. The structural unit as claimed in claim 16, characterized in that, There are at least two or more main bodies, each of which has at least three connecting parts, each of which has at least one static connection structure and one static axis, for a total of at least three static axes. The included angle of the projection of the three static axes in each of the main bodies is either all 60°, all 120°, or 180°. The included angle between the projection axes of the static axes in all the multiple main bodies is either 60°, 120°, or 180°.
49. The structural unit as claimed in claim 16, characterized in that, The aforementioned unit is a building block, which has three sides. Each of the three sides has three connecting parts perpendicular to the sides. Each of the three connecting parts has at least one static connection structure. Each static connection structure has at least one male and / or female connecting end and one connecting axis. The first connecting axis of each static connection structure of the three connecting parts is static axis one, static axis two, and static axis three. The static space angles C12, C23, and C13 between the three static axes are equal.
50. The structural unit as claimed in claim 21, characterized in that, The aforementioned unit is a building block, which has four sides. Each of the four sides has four connecting parts perpendicular to the sides. Each of the four connecting parts has at least one static connection structure. Each static connection structure has at least one male end and / or one female end, and one connecting axis. The first connecting axis of each static connection structure of the four connecting parts is static axis one, static axis two, static axis three, and static axis four. The static space angles C12, C23, C34, and C14 between the four static axes are equal, and C13 = C24 and cu1u3 = cu1u3.
51. The structural unit as claimed in claim 21, characterized in that, The aforementioned unit is a building block, which has four sides. Each of the four sides has four connecting parts perpendicular to the sides. Each of the four connecting parts has at least one static connection structure. Each static connection structure has at least one male and / or female connection end and one connecting axis. The first connecting axis of each static connection structure of the four connecting parts is static axis one, static axis two, static axis three, and static axis four. The static space angles C12, C23, C34, and C14 between the four static axes are equal, and cu1u3 and cu2u4 are not equal.
52. The structural unit as claimed in claim 26, characterized in that, The aforementioned unit is a building block, which has five sides. Each of the five sides has five connecting parts perpendicular to the side. Each of the five connecting parts has at least one static connection structure. Each static connection structure has at least one male and / or female connecting end and one connecting axis. The first connecting axis of each static connection structure of the five connecting parts is static axis one, static axis two, static axis three, static axis four, and static axis five. The static space angles C12, C23, C34, C45, and C15 between the five static axes are equal.
53. The structural unit as claimed in claim 31, characterized in that, The aforementioned unit is a building block, which has six sides. Each of the six sides has six connecting parts perpendicular to the side. Each of the six connecting parts has at least one static connection structure. Each static connection structure has at least one male end and / or one female end, and one connecting axis. The first connecting axis of each static connection structure of the six connecting parts is static axis one, static axis two, static axis three, static axis four, static axis five, and static axis six. The static space angles C12, C23, C34, C45, C56, and C16 between the six static axes are equal.
54. A structural assembly, characterized in that, The aforementioned structural assembly is formed by connecting two or more structural units with two or more dynamic connection structures. The assembly structure consists of two dynamic connection structures that connect two units DT1 and DT2 into a single unit. Unit DT1 and unit DT2 form a whole. The assembly has at least two dynamic connection structures GZ-LJJG1 and GZ-LJJG2, at least two dynamic axes GZ-axis1 and GZ-axis2, and at least one dynamic spatial angle GZ-C12 between the dynamic axes. The dynamic axes 1 and 2 are not parallel, coincident, or intersecting in coordinate space, and the dynamic spatial angle represents a skew linear relationship between the two axes. The included angle of the dynamic space is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24°. 0.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103° °, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.90 51°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 90°. Monomer DT1 and Monomer DT2 each have a stationary axis that is coaxial or parallel, forming a moving axis, GZ-axis1. Monomer DT2 and Monomer DT1 each have another stationary axis that is coaxial or parallel, forming another moving axis, GZ-axis2. A dynamic space angle GZ-C12 is formed between the two moving shafts. Each of the aforementioned monomers DT1 and DT2 has at least two connecting parts, each of the connecting parts has at least one static connecting structure, and each of the static connecting structures has at least one static axis. The angle between the two static axes of each monomer ranges from 0° to 90°. The angle between the two static axes of the two monomers is equal. Alternatively; the aforementioned individual units may have three components, and the aforementioned assembly may have at least three dynamic connection structures GZ-LJJG1, GZ-LJJG2, GZ-LJJG3, at least three dynamic axes GZ-axis1, GZ-axis2, GZ-axis3, and at least one dynamic spatial angle GZ-C12 between the dynamic axes. The first and second dynamic axes are not parallel, do not coincide, and do not intersect in coordinate space. The dynamic spatial angle represents a skew linear relationship between the first and second dynamic axes. Alternatively; the individual units may have four components, and the assembly may have at least four dynamic connection structures GZ-LJJG1, GZ-LJJG2, GZ-LJJG3, GZ-LJJG4, at least four dynamic axes GZ-axis1, GZ-axis2, GZ-axis3, GZ-axis4, and at least one dynamic spatial angle GZ-C12 between the dynamic axes. The first and second dynamic axes are not parallel, do not coincide, and do not intersect in coordinate space. The dynamic spatial angle represents a skew linear relationship between the first and second dynamic axes. Alternatively; the individual units may have five components, and the assembly may have at least five dynamic connection structures GZ-LJJG1, GZ-LJJG2, GZ-LJJG3, GZ-LJJG4, GZ-LJJG5, at least five dynamic axes GZ-axis1, GZ-axis2, GZ-axis3, GZ-axis4, GZ-axis5, and at least one dynamic spatial angle GZ-C12 between the dynamic axes. The first and second dynamic axes are not parallel, do not coincide, and do not intersect in coordinate space. The dynamic spatial angle represents a skew linear relationship between the first and second dynamic axes. Alternatively; the single unit has six components, and the assembly has at least six dynamic connection structures GZ-LJJG1, GZ-LJJG2, GZ-LJJG3, GZ-LJJG4, GZ-LJJG5, GZ-LJJG6, at least six dynamic axes GZ-axis1, GZ-axis2, GZ-axis3, GZ-axis4, GZ-axis5, GZ-axis6, and at least one dynamic spatial angle GZ-C12 between the dynamic axes. The first and second dynamic axes are not parallel, do not coincide, and do not intersect in coordinate space. The dynamic spatial angle is a spatial skew straight line relationship between the first and second dynamic axes.
55. A connecting latch, characterized in that, The aforementioned connecting latch is a structural assembly that connects individual structural units together. In this assembly, two structural units are interconnected and locked together. The connecting latch has at least two locking parts, each comprising at least one structural unit. The connecting latch also has one or two fixing parts, each with at least two ends, or each of the two fixing parts having one end. The common ends of the fixing parts interlock the locking parts together, forming a strip or line-like structure. These fixing parts, whether strip-like or line-like, flexibly connect the two locking parts together. The two connecting and locking parts form two dynamic connection structures. The dynamic space angle between the two moving shafts is 0° to 90°, including 90° but excluding 0°. When the connecting and locking parts are connected together, the limiting surfaces of the male and / or female ends of the two static connection structures of the corresponding structural unit one and unit two restrict the two parts together, so that the two units cannot be loosened by moving or rotating the connecting axis.
56. A chain-link locking mechanism for a structural assembly, characterized in that, It includes three or more structural assembly connecting latches, a single closed loop connection, wherein the single closed loop connection is presented as a ring, with the front and rear being connections that connect the upper and lower parts. In the structural assembly connecting latches, each connecting locking part includes a single structural unit with two or more main bodies.
57. A three-dimensional connecting latch for a structural assembly, characterized in that, The system includes four or more structural assembly connecting latches, forming a three-dimensional closed-loop connection. This three-dimensional closed-loop connection is presented as a closed loop connecting the vertices of a three-dimensional polyhedron. The three-dimensional closed-loop connection is composed of a mixture of four or more single closed-loop connections. In each structural assembly connecting latch, the locking part includes a single structural unit with two or more main bodies, and each structural assembly connecting latch has at least six, eight, or ten connecting ends. The single closed-loop connection of each polyhedron can be a three-ring closed-loop connection, a four-ring closed-loop connection, or a five-ring closed-loop connection. When the polyhedron is a tetrahedron-like polyhedron, there are at least four connecting locking parts, and each connecting locking part has at least six connecting ends, with two ends forming a group of three. When the polyhedron is a hexahedron-like polyhedron, there are at least eight connecting locking parts, each of which has at least six connecting ends, and two of each part are grouped together in three groups. When the polyhedron is octahedral in shape, there are at least six connecting locking parts, each of which has at least eight connecting ends, arranged in groups of two for a total of four groups. When the polyhedron is a dodecahedron with pentagonal faces, it has at least twelve connecting locking parts, each of which has at least ten connecting ends, and these are grouped into five groups of two. When the polyhedron is a quasi-icosahedron with a triangular-like surface, there are at least twenty connecting locking parts, each of which has at least six connecting ends, and two of each part are grouped together to form three groups.
58. A type of building block, characterized in that, The building block is a single structural unit composed of any one of the following: claims 1, 16, 21, 26, 31, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, or 53, or any one of the structural units is part of the building block.
59. A toy assembly, characterized in that, In the toy assembly described herein, at least one of the building blocks is the building block described in claim 58.
60. A shelving assembly, characterized in that, The shelving unit is composed of shelving support components and shelving connectors. The shelving connectors are constructed from the structural units described in claims 16, 21, 26, or 31. The shelving support components are connected by the shelving connectors to form a complete shelving assembly.
61. A shelving assembly, characterized in that, The shelving unit comprises shelving supports and shelving connectors. The shelving connectors are constructed from the structural units described in claims 16, 21, 26, or 31. Each shelving connector has two, three, four, five, or six static axes. The included angle between the static axes ranges from 0° to 90°, and may be either 90° or 0°. The frame may be a single layer or a combination of two or more layers. When the shelving is a single layer, it has at least three or more shelving connectors, which connect multiple shelving supports into a closed loop; When the shelving has two or more layers, it has at least four or more shelving connectors, forming a closed loop to become a cuboid whole, and there are additional shelving support members between the two layers. Shelf support components, shelf connectors The connectors for good shelves include the connector3 series with three static axes, the connector4 series with four static axes, the connector5 series with five static axes, and the connector6 series with six static axes. In the connector 4, connector 3, and connector 6 series, the relationship between each stationary axis is a 90° static space angle, which is the K sub-series. There are connector 3K series with static space angles of 90° and / or 180°, connector 4K series with static space angles of 90° and / or 180°, connector 5K series with static space angles of 90° and / or 180°, and connector 6K series with static space angles of 90° and / or 180°.
62. A shelving assembly, characterized in that, The shelving is composed only of shelving connectors, which are structural units as described in claims 16, 21, 26 or 31, and the connectors are interconnected to form a whole.
63. A shelving assembly, characterized in that, The aforementioned shelf connectors are constructed from the structural units described in claims 16, 21, 26, or 31. Each shelf connector has two, three, four, five, or six static axes. The included angle between the static axes ranges from 0° to 9°, including 90° but excluding 0°. The frame may be a single layer or a combination of two or more layers. When the shelving is a single layer, it has at least three or more shelving connectors connected in a closed loop, or; When the shelving has two or more layers, it has at least four or more shelving connectors that are connected in a closed loop to form a three-dimensional whole. The closed loop whole formed by the connection can be a tetrahedral structure, a bottom-four-top-two connected whole structure, a hexahedral structure, or a top-three-bottom-three connected whole structure, or; When the shelving has three or more layers, each layer has four or more shelving connectors.
64. A structural assembly, characterized in that, The assembly consists of at least two individual units, namely unit DT1 and unit DT2, and has two dynamic connection structures and two dynamic shafts. There is a dynamic spatial angle between the two dynamic shafts, which is the same as the angle between the two static spaces of a single structural unit. The two units of the assembly are connected by at least two dynamic connection structures, and there is also a dynamic spatial angle between the two dynamic shafts. The angle value of the dynamic spatial angle is between 0° and 90°, excluding 0° and including 90°. Each of the aforementioned monomers is any of the structural monomers described in claims 1 to 40. Each of the aforementioned individual units has at least one main body, and each main body of each individual unit has at least two connecting parts, two tilt angles, and two static connection structures. Each of the aforementioned individual units has at least one static connection structure in each connecting part, and each of the aforementioned static connection structures has at least one connecting axis. The first connecting axis in the first static connection structure of the first connecting part of the first body of each individual unit is the first static axis of the first body of the first unit. The first connecting axis in the second static connection structure of the second connecting part of the first body of each individual unit is the second static axis of the first body of the first unit. There is a static spatial angle between the first and second static axes of each individual unit, and the angle value of each static spatial angle is from 0° to 90°, including 90° but excluding 0°. Each connecting axis in each connecting part of each body of each individual unit also has a projected axis in its own coordinate system plane XOY plane. There are also tilt angles between each static axis and the corresponding projection axis in the XOY plane. The angle between each static axis and its corresponding coordinate system plane XOY plane is the tilt angle. The angular value of each tilt angle of each main body of each unit is from 0° to 180°, excluding 180° and excluding 0°. There are also projection angles between each static axis projection axis. The angular value of each projection angle of each main body of each unit is from 0° to 180°, excluding 180° and excluding 0°. When there are three or more axes, at least one of the projection angles has an angular value from 0° to 180°, including 180° and excluding 0°, and the angular value of the other projection angles is from 0° to 180°, including 180° and excluding 0°.
65. A structural assembly, characterized in that, The assembly comprises at least three individual units: DT1, DT2, and DT3. It has three dynamic connection structures and three dynamic axes. These three dynamic axes share three dynamic spatial angles. The angle values of these three dynamic spatial angles are either all three equal, two all equal, or all unequal. Each of the three dynamic spatial angles ranges from 0° to 90°, including 90° but excluding 0°. At least one dynamic connection structure exists between any two individual units of the assembly. Each of the aforementioned individual units has at least one main body, and each main body of each individual unit has at least two connecting parts, two tilt angles, and two static connection structures. Each of the aforementioned individual units has at least one static connection structure in each connecting part, and each of the aforementioned static connection structures has at least one connecting axis. The first connecting axis in the first static connection structure of the first connecting part of the first body of each individual unit is the first static axis of the first body of the first unit. The first connecting axis in the second static connection structure of the second connecting part of the first body of each individual unit is the second static axis of the first body of the first unit. There is a static spatial angle between the first and second static axes of each individual unit, and the angle value of each static spatial angle is from 0° to 90°, including 90° but excluding 0°. Each connecting axis in each connecting part of each body of each individual unit also exists in its own coordinate system plane XOY plane. The projection axes, each stationary axis and the corresponding projection axis in the XOY plane also have tilt angles. The angle between the line and plane of each stationary axis and its corresponding coordinate system plane XOY plane is the tilt angle. The angular value of each tilt angle of each main body of each unit is from 0° to 90°, including 90° but excluding 0°. There are also projection angles between each stationary projection axis. The angular value of each projection angle of each main body of each unit is from 0° to 180°, including 180° but excluding 0°. When there are three or more axes, at least one of the projection angles has an angular value from 0° to 180°, excluding 180° but excluding 0°. The angular values of the other projection angles are from 0° to 180° and include 180°. The aforementioned assembly comprises at least three individual units: unit 1 DT1, unit 2 DT2, and unit 3 DT3; at least three dynamic connection structures GZ-LJJG1, GZ-LJJG2, and GZ-LJJG3; at least three dynamic axes: GZ-axis1, GZ-axis2, and GZ-axis3; and at least three dynamic spatial angles GZ-C12, GZ-C23, and GZ-C13 between the three dynamic spatial angles. The values of these three dynamic spatial angles are all equal, partially equal, or all unequal. The magnitudes of each angle value are... The angular value of the dynamic space included angle GZ-C12 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°. Or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.81 0.3°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9 0.51°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 90°. and, The angular value of the dynamic space included angle GZ-C23 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°. Or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.81 0.3°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9 0.51°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 90°. and, The angular value of the dynamic space included angle GZ-C23 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°. Or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.81 0.3°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9 0.51°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 90°. and, Each of the three monomers, DT1, DT2, and DT3, has at least two connecting parts, each connecting part has at least one static connection structure, and each static connection structure has at least one static axis. The static spatial angle between the two static axes of each monomer ranges from 0° to 90°, including 90° but excluding 0°. The static spatial angles between the two static axes of each of the three monomers are either all equal, partially equal, or unequal. Furthermore, monomer DT1 and monomer DT2 each have a static axis that is coaxial or parallel, forming a dynamic axis, dynamic axis 1 GZ-axis1; monomer DT2 and monomer DT3 each have a static axis that is coaxial or parallel, forming a dynamic axis, dynamic axis 2 GZ-axis2; monomer DT1 and monomer DT3 each have a static axis that is coaxial or parallel, forming a dynamic axis, dynamic axis 3 GZ-axis3.
66. An assembly, characterized in that, The assembly comprises at least four individual units: DT1, DT2, DT3, and DT4; at least four dynamic connection structures: GZ-LJJG1, GZ-LJJG2, GZ-LJJG3, and GZ-LJJG4; at least four dynamic axes: GZ-axis1, GZ-axis2, GZ-axis3, and GZ-axis4; at least four sequential dynamic spatial angles between the dynamic axes: GZ-C12, GZ-C23, GZ-C34, and GZ-C14; and two non-sequential dynamic spatial angles: GZ-C13 and GZ-C24. Each of the four individual units has two consecutively ordered individual units connected by a static axis that is parallel or coincident, forming a dynamic axis. Each unit is also connected by a static connection structure to form a dynamic connection structure. There are at least four consecutive moving connections between four consecutive units in a closed sequence, and at least four consecutive moving shafts. The angle values of four consecutively ordered moving space angles are all equal, partially equal, or completely unequal. There are also two non-consecutive moving space angles, GZ-C13 and GZ-C24, which are either equal or unequal. The combinations of the angle values of these consecutively ordered moving space angles are as follows: The four consecutive dynamic spatial angles GZ-C12, GZ-C23, GZ-C34, and GZ-C14 are all equal and all 90°. Alternatively, the four included angles of the moving space, GZ-C12, GZ-C23, GZ-C34, and GZ-C14, and the corresponding included angles of the end space of the moving shaft, gz-cu1u2, gz-cu2u3, gz-cu3u4, and gz-cu1u4, are all equal, and the angular values of the four included angles of the moving space are all 9.7356°, or 10.8123°, or 12.0475°, or 13.28°. 26°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.869° 8°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60° °, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651° or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; Alternatively, the four included angles of the moving space are GZ-C12, GZ-C23, GZ-C34, and GZ-C14, and the included angles of the end spaces of the corresponding moving shafts are gz-cu1u2, 180°-(gz-cu2u3), gz-cu3u4, and 180°-(gz-cu1u4). These four are also all equal. Among them, the sum of the angle values of gz-cu1u2 and gz-cu2u3 is 180°, and the angle values of gz-cu1u2 and gz-cu3u4 are equal. The four included angles in the dynamic space are all 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, 26.5651°, 28.2213°, 30°, 31.7175°, or 33.5573°. °, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 6 1.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 90°. The four spatial axes are parallel to a common plane, but not entirely sharing the same plane. A structural assembly comprising at least four individual units, namely unit 1 DT1, unit 2 DT2, unit 3 DT3 and unit 4 DT4, having at least four dynamic connection structures and at least four dynamic shafts, with a total of four dynamic spatial angles between the at least four dynamic shafts. The angle values of the four dynamic spatial angles are either all four equal, or all three equal, or all two equal, or all unequal. The angle values of the four dynamic spatial angles are all from 0° to 90°, including 90° but excluding 0°. The assembly consists of at least one dynamic connection structure between two individual units. Each individual unit has at least one main body. Each main body of each individual unit has at least two connecting parts, two tilt angles, and two static connection structures. Each connecting part of each individual unit has at least one static connection structure. Each static connection structure has at least one connecting axis. The first connecting axis of the static connection structure in the first connecting part of the first main body of each individual unit is the static axis of the first main body of the first individual unit. The first connecting axis of the static connection structure in the second connecting part of the first main body of each individual unit is the static axis of the first main body of the first individual unit. There is a static spatial angle between the static axis of the first and static axis of the second individual unit. The angle value of each static spatial angle is from 0° to 90°, including 90° but excluding 0°. Each connecting axis in each connecting part of each main body also has a projection axis in its own coordinate system plane XOY plane. Each static axis and the corresponding projection axis in the XOY plane also have an inclination angle. The angle between the line and plane of each static axis and its corresponding coordinate system plane XOY plane is an inclination angle. The angle value of each inclination angle of each main body of each unit is from 0° to 90°, including 90° but excluding 0°. There is also a projection angle between each static axis projection axis. The angle value of each projection angle of each main body of each unit is from 0° to 180°, including 180° but excluding 0°. When there are three or more axes, at least one of the projection angles has an angle value from 0° to 180°, including 180° but excluding 0°, and the angle values of the other projection angles are from 0° to 180°, including 180° but excluding 0°.
67. A structural assembly, characterized in that, The assembly comprises at least five individual units: DT1, DT2, DT3, DT4, and DT5. It has at least five dynamic connection structures and at least five dynamic shafts. These five dynamic shafts share five dynamic spatial angles. The angle values of these five dynamic spatial angles are either all five equal, four equal, three equal, two equal, or unequal. The angle values of the four dynamic spatial angles are all between 0° and 90°, inclusive but excluding 0°. At least one dynamic connection structure connects every two individual units of the assembly. Each individual unit has at least one main body, and each main body of each individual unit has at least two connecting parts, two tilting angles, and two static connection structures. Each of the aforementioned individual units has at least one static connection structure in each connecting part, and each of the aforementioned static connection structures has at least one connecting axis. The first connecting axis in the first static connection structure of the first connecting part of the first body of each individual unit is the first static axis of the first body of the first unit. The first connecting axis in the second static connection structure of the second connecting part of the first body of each individual unit is the second static axis of the first body of the first unit. There is a static spatial angle between the first and second static axes of each individual unit, and the angle value of each static spatial angle is from 0° to 90°, including 90° but excluding 0°. Each connecting axis in each connecting part of each body of each individual unit also has projection in its own coordinate system plane XOY plane. The projection axes, each static axis and its corresponding projection axis are located in the XOY plane, and there are also tilt angles. The angle between the line and plane of each static axis and its corresponding coordinate system plane XOY plane is the tilt angle. The angular value of each tilt angle of each main body of each unit is from 0° to 90°, including 90° but excluding 0°. There are also projection angles between each static axis projection axis. The angular value of each projection angle of each main body of each unit is from 0° to 180°, including 180° but excluding 0°. When there are three or more axes, at least one of the projection angles has an angular value from 0° to 180°, including 180° but excluding 0°, and the angular value of the other projection angles is from 0° to 90°, including 90° but excluding 0°.
68. An assembly, characterized in that, The assembly comprises at least six individual units: Unit 1 DT1, Unit 2 DT2, Unit 3 DT3, Unit 4 DT4, Unit 5 DT5, and Unit 6 DT6; at least six dynamic connection structures; at least six dynamic axes; and at least six sequential dynamic spatial angles between these axes: GZ-C12, GZ-C23, GZ-C34, GZ-C45, GZ-C56, and GZ-C16. It also includes multiple non-sequential dynamic spatial angles: GZ-C13, GZ-C24, and GZ-C36. The values of the six sequential dynamic spatial angles are all equal, partially equal, or completely unequal. The non-sequential dynamic spatial angles GZ-C13 and GZ-C24 are either equal or unequal. The combination relationships of the values of the sequential dynamic spatial angles are as follows: The six consecutive spatial angles GZ-C12, GZ-C23, GZ-C34, GZ-C45, GZ-C56, and GZ-C16 are all equal and all 60°, with one of the end spatial angles being either 60° or 120°. Furthermore, the six spatial axes of motion are all parallel to a common plane, but they are not all in the same plane; Alternatively, the six dynamic space included angles GZ-C12, GZ-C23, GZ-C34, GZ-C45, GZ-C56, and GZ-C16, and the corresponding end space included angles of the dynamic shafts gz-cu1u2, gz-cu2u3, gz-cu3u4, gz-cu4u5, gz-cu5u6, and gz-cu1u6 are all equal, and the angle values of the six dynamic space included angles are all 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20°. .9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°.
69. A composite layered structure, characterized in that, The combined layer group has two connected layers and one connecting layer. The assembled layer group has connected layers that are composed of three or more structural units connected together. The first connected layer and the second connected layer each have the same three or four or more structural units. The connecting layer, the first connecting layer and the second connecting layer, respectively connect the first layer and the second layer. The first connecting layer is located between the first layer and the second layer. The first connecting layer has at least three or more structural units, each with at least two static connection structures, which connect to the first layer and the second layer respectively. The first connecting layer connects the first layer and the second layer into a whole layer group assembly structure.
70. A layered structure of a structural assembly, characterized in that, The aforementioned layered structural assembly has at least three layers, and at least six dynamic connection structures connect the three layers together. The three layers are respectively connected by a first layer, a second layer, and a first and second connecting layer. The first layer contains at least one structural unit with three static axes, or at least one structural assembly. The structural assemblies in the first layer have at least three static connection structures for connection. Similarly, the second layer contains at least one structural unit with three static axes, or at least one structural assembly. The structural assemblies in the second layer have at least three static connection structures for connection. The first and second connecting layers each consist of at least three independent structural units or three independent structural assemblies, or a total of three independent structural units and structural assemblies. Each structural unit or structural assembly in the first and second connecting layers has at least two corresponding static connection structures on its static axes, which connect to the first and second layers respectively, forming at least six dynamic connection structures. The first and second connecting layers connect the first and second layers into a whole. This layered connection structure is a layered structure of structural assemblies. Each structural unit constituting the first and second layers, or the structural unit or structural assembly thereof, and each structural unit or structural assembly in the first and second connecting layers, has at least one main body. Each main body has at least two connecting parts. Each connecting part has at least one static connection structure. Each static connection structure has at least one connecting axis. Each static connection structure also has at least a male end and / or a female end. The first connecting axis of the static connection structure of the first connecting part of each individual unit is the representative static axis one corresponding to the connecting part. The second connecting part of each individual unit... The first connecting axis of the static connection structure is the representative static axis two corresponding to the connecting part. The first connecting axis of the static connection structure one of each individual unit is the representative static axis N corresponding to the connecting part (N is a natural number sequence). Each connecting part has one and only one static axis, and each individual unit has at least two or more static axes, static axis one and static axis two. All structural units have at least two static axes that are not parallel, do not intersect, and do not overlap. The included angle between the two static axes is between 0° and 90°, and is not 0°, with a maximum value of 90°. The first and second layers contain multiple static connection structures in their individual components or assemblies. These structures in the first and second layers can be arranged in a corresponding array, a fully circular radial and rotating pattern, or a partially circular radial and rotating pattern. When there are only three, five, or other odd-numbered natural-numbered static connection structures corresponding to the first and second layers, it is a fully circular radial and rotating pattern. When there are only four, six, or other even-numbered natural-numbered static connection structures corresponding to the first and second layers, it is either a fully circular radial and rotating pattern or a partially circular radial and rotating pattern. The radial and rotational distribution may be a full-circular distribution where the included angles of the projections of multiple static axes of the structural units in the first and second layers are evenly divided into circular angles, or a partially circular distribution that evenly divides into circular angles. The distances from the male and / or female ends of each of the aforementioned static connection structures to the center of the structural unit may be equal or unequal. Alternatively, the distances from the male and / or female ends of the associated plurality of static connection structures to the center of the structural assembly may be equal or unequal. Each of the aforementioned individual units has at least one main body, and each main body of each individual unit has at least two or at least three connecting parts, two or three tilt angles, and two or three static connection structures. In each of the connected layers, each individual unit has at least three connecting parts, correspondingly at least three tilt angles, and three static connection structures. In each of the connecting layers that serves as the active connection, each connecting unit that acts as a link between the upper and lower layers has at least two connecting parts, correspondingly at least two tilt angles, and two static connection structures. Each of the aforementioned individual units has at least one static connection structure in each connecting part, and each static connection structure has at least one connecting axis. The first connecting axis in the first static connection structure of the first connecting part of the main body of each individual unit is the first static axis of the main body of the individual unit. The first connecting axis in the first static connection structure of the second connecting part of the main body of each individual unit is the second static axis of the main body of the individual unit. The first connecting axis in the first static connection structure of the third connecting part of the main body of each individual unit is the third static axis of the main body of the individual unit. There is a static spatial angle C12 between the first and second static axes of each individual unit, a static spatial angle C23 between the second and third static axes of each individual unit, and a static spatial angle C13 between the first and third static axes of each individual unit. The angle values of the static spatial angles C12, C23, and C13 are from 0° to 90°, excluding 0°. Including 90°, each connecting axis of each main body of each unit also has a projection axis in its own coordinate system plane XOY plane. There are also tilt angles between each static axis and the corresponding projection axis in the XOY plane. The angle between the line and plane of each static axis and its corresponding coordinate system plane XOY plane is the tilt angle. The angular value of each tilt angle of each main body of each unit is 0° to 90° and includes 90°, excluding 0°. There are also projection angles between each static axis projection axis. The angular value of each projection angle of each main body of each unit is 0° to 180° and includes 180°, excluding 0°. When there are three or more axes, at least one of the projection angles of each main body of each corresponding unit has an angular value of 0° to 180° and includes 180°, and the angular values of the other projection angles are 0° to 180° and include 180°.
71. The layered structure of the structural assembly as described in claim 70, characterized in that, The aforementioned layered structure of the structural assembly comprises at least a first layer of the structural assembly, a second layer of the structural assembly, and a first and a second connecting layer that connects the first layer and the second layer of the structural assembly. The first layer and the second layer of the structural assembly each contain at least one structural unit or one structural assembly. The structural unit or structural assembly in the first layer has at least 1 connecting parts (layers_quantity_3n_1), and the structural unit in the second layer has at least 2 connecting parts (layers_quantity_3n_2). Each connecting part has at least one static connection structure, each static connection structure has at least one connecting axis, and at least one male and / or female connecting end. The layers_quantity_3n_1 refers to the number of statically connected structures in a single constructor or a composite of constructors in the first layer, where layers_quantity_3n_1 is a natural number greater than or equal to 3. The layers_quantity_3n_2 refers to the number of statically connected structures in a single constructor or a composite of constructors in the second layer, where layers_quantity_3n_2 is a natural number greater than or equal to 3. In the first layer of the structural assembly, the first connecting axes of at least three static connection structures are arranged radially and rotationally outward toward the second layer of the structural assembly. Similarly, in the second layer of the structural assembly, the first connecting axes of at least three static connection structures are arranged radially and rotationally outward toward the first layer of the structural assembly. These first connecting axes do not intersect, coincide, or overlap with each other, and are not parallel. Likewise, in the second layer of the structural assembly, the first connecting axes of at least three static connection structures in each structural unit do not intersect, coincide, or overlap with each other, and are not parallel. In the first layer of the structural assembly, the spatial angle between any two axes of the first connecting axes of at least three static connection structures is in the range of 0° to 90°, excluding 0° and including 90°. Specifically, the spatial angle C12 between axis one (first connecting axis of the first static connection structure of the first connecting part) and axis two (first connecting axis of the first static connection structure of the second connecting part) of a single unit in the first layer of the structural assembly is angle_ceng1_3n_12. The spatial angle between axis two (first connecting axis of the first static connection structure of the second connecting part) and axis three (first static connection axis of the third connecting part) is angle_ceng1_3n_12. The spatial angle C23 between the first connecting axis of the structure is angle_ceng1_3n_23, and the spatial angle C13 between axis 1 and axis 3 is angle_ceng1_3n_13. Specifically, the spatial angle C12 between axis 1 and axis 2 of the individual units in the second layer of the structural assembly is angle_ceng2_3n_12, the spatial angle C23 between axis 2 and axis 3 is angle_ceng2_3n_23, and the spatial angle C13 between axis 1 and axis 3 is angle_ceng2_3n_13. The angle_ceng1_3n_12 refers to the angle between the static axis one and static axis two of each structural unit in static space. The value of the angle ranges from 0° to 90°, including 90° but excluding 0°. The angle_ceng1_3n_23 refers to the angle between the static axis two and static axis three of each structural unit in static space. The value of the angle ranges from 0° to 90°, including 90° but excluding 0°. The angle_ceng1_3n_13 is the angle value of the static space angle between the static axis one and the static axis three of each structural unit. The value of the angle value ranges from 0° to 90°, including 90° but excluding 0°.
72. The layered structure of the structural assembly as described in claim 70, characterized in that, The first and second connecting layers comprise at least 12 individual structural units and / or structural assemblies. Each of the at least three individual structural units in the first and second connecting layers has at least two connecting portions. Each connecting portion of each structural unit in the first and second connecting layers of the structural assembly has at least one static connection structure. Each static connection structure of each connecting portion of the three structural units in the first and second connecting layers of the structural assembly has at least one connecting axis and at least one male and / or female connection end. The two first connecting axes of each structural unit are non-intersecting, non-coincident, and non-parallel. The spatial angle between any two axes of each first connecting axis is within the range of 0° to 90° (excluding 0° and including 90°). In each of the at least two static connection structures of each structural unit in the first and second connecting layers, each static connection structure contains at least one first connecting axis. The first connecting axes of at least three static connection structures coincide with or are parallel to the first connecting axes of the structural units in the first layer of the structural assembly, forming at least three dynamic connection structures. In each of the at least two static connection structures of each structural unit of the first and second connecting layers, each static connection structure has at least one first connection axis. The first connection axes of at least three static connection structures coincide with or are parallel to the first connection axes of each structural unit of the second layer of the structural assembly, forming at least three dynamic connection structure relationships. The male and / or female connection ends of the structural units of the first and second connecting layers respectively form splicing and / or insertion and / or connection and / or adsorption connections with the female and / or male connection ends of the structural units of the first and second layers. The values of layers_quantity_3n_1 and layers_quantity_3n_2 are the same or different, and there are at least three or more of each. The values of angle_ceng1_3n_12, angle_ceng1_3n_23, angle_ceng1_3n_13, angle_ceng1_3n_12, angle_ceng2_3n_23, and angle_ceng2_3n_13 are the same or different. The layers_quantity_3n_12 refers to the number of independent constructor units or independent constructor combinations in the first and second connection layers, and the layers_quantity_3n_12 is a natural number greater than or equal to 3.
73. A layered structure of a structural assembly as claimed in claim 60 or 70, characterized in that, The values of layers_quantity_3n_1 and layers_quantity_3n_2 are both N, where N can be 3, 4, 5, 6, or other values, and can increase indefinitely. The number of layers_quantity_3n_12 is the smaller of layers_quantity_3n_1 and layers_quantity_3n_2. When the values are equal, the minimum value of layers_quantity_3n_12 is 3, and the maximum value is layers_quantity_3n_1.
74. A layered structure of a structural assembly as described in claim 70, characterized in that, The value of layers_quantity_3n_1 is N1, and the value of layers_quantity_3n_2 is N2. The values of N1 and N2 may be the same or different. The values of N1 and N2 can be 3, 4, 5, 6, or other values, and can be increased indefinitely. The number of individual building blocks of the connecting layer corresponding to layers_quantity_3n_12 is equal to the smaller of the values of N1 and N2, and is equal to or greater than 3. The included angle values of the two axes corresponding to angle_ceng1_3n_12 and angle_ceng1_3n_23 are equal, and the included angle values of the two axes corresponding to angle_ceng2_3n_12 and angle_ceng2_3n_23 are also equal.
75. A layered structure of a structural assembly as described in claim 70, characterized in that, The values of layers_quantity_3n_1 and layers_quantity_3n_2 are both N, where N can be 3, 4, 5, 6, or other values, and can be increased indefinitely. The number of layers_quantity_3n_12 is the smaller of layers_quantity_3n_1 and layers_quantity_3n_2. When layers_quantity_3n_1 and layers_quantity_3n_2 are equal, the minimum value of layers_quantity_3n_12 is 3, and the maximum value is layers_quantity_3n_1. Note: The number of static connection structures that serve as connections in the connecting layer may be more than twice the number of static connection structures that serve as connections in the connected layer.
76. A layered structure of a structural assembly as described in claim 70, characterized in that, The value of layers_quantity_3n_1 is N1, and the value of layers_quantity_3n_2 is N2. The values of N1 and N2 may be the same or different. The values of N1 and N2 can be 3, 4, 5, 6, or other values, and can be increased indefinitely. The number of individual building blocks of the connecting layer corresponding to layers_quantity_3n_12 is equal to the smaller of the values of N1 and N2, and is equal to or greater than 3. The included angle values of the two axes corresponding to angle_ceng1_3n_12 and angle_ceng1_3n_23 are equal, and the included angle values of the two axes corresponding to angle_ceng2_3n_12 and angle_ceng2_3n_23 are also equal. The number of static connection structures used for connection in the second layer can be twice or more than twice the number of static connection structures in the first layer, thus, the number of connected layers can be further increased after the second layer.
77. The layered structure of the structural assembly as described in claim 70, characterized in that, The first layer contains only one structural unit, the second layer contains only one structural unit, and the number of connecting parts serving as the connecting components in the structural units of each connected layer is equal. The number of layers is ceng_quantity_3n_x1. The value of 3n_x1 is equal to 3, there are 3 layers in total, the number of connecting layers is ceng_quantity_3n_x2, the ceng_quantity_3n_x2 is 1 less than the ceng_quantity_3n_x1, the number of connecting parts of the second layer of the intermediate layer is at least greater than or equal to twice the number of connecting parts of the first layer of the intermediate layer, each connecting part of the intermediate layer ... The static connection structures in the second layer, which serve as connectors, form various connections with the static connection structures in the first and second connecting layers, which serve as active connectors. Simultaneously, the second and third connecting layers connect with the second and third layers they are connected to, respectively. The number of connected layers can be continuously increased through layer accumulation.
78. The layered structure of the structural assembly as described in claim 63, characterized in that, The first layer contains only one structural unit, and the second layer contains only one structural unit. The number of connecting parts serving as the connecting function of the structural units in each connected layer is equal. The number of layers is ceng_quantity_3n_x1, where ceng_quantity_3n_x1 equals 3, resulting in 3 layers. The number of connecting layers is ceng_quantity_3n_x2, where ceng_quantity_3n_x2 is 1 less than ceng_quantity_3n_x1. The number of connecting parts of the structural units in the intermediate second layer is at least twice the number of connecting parts of the structural units in the first layer. Each connecting part of the structural units in the intermediate layer has at least one first connecting axis. A portion of each first connecting axis of each connecting part in the intermediate layer is directed towards the connected layer, and another portion is directed towards the connected other layer, connecting two connected layers respectively. The first and second connecting layers connect the first and second layers respectively.
79. The layered structure of the structural assembly as described in claim 70, characterized in that, The number of connecting parts in each layer of the structural unit is equal. The number of layers is ceng_quantity_3n_x1, where ceng_quantity_3n_x1 is greater than 3, and there are 4, 5, or more layers. The number of connecting layers is ceng_quantity_3n_x2, and the total number of connecting layers is ceng_quantity_3n_x2. The number of connected layers is ceng_quantity_3n_x1, where ceng_quantity_3n_x2 is 1 less than ceng_quantity_3n_x1. The intermediate... The number of connecting parts of the structural unit in the second layer to the second-to-last layer in reverse order is at least twice the number of connecting parts of the structural unit in the first layer. Each connecting part of the structural unit in the intermediate layer has at least one connecting axis. In the static connection structure of half of the connecting parts of the structural unit in the intermediate layer, the first connecting axis is facing the layer to which it is connected, and in the static connection structure of the other half of the connecting parts, the first connecting axis is facing the other layer to which it is connected. The first and second connecting layers connect the first and second layers respectively, the second and third connecting layers connect the second and third layers respectively, and so on, which can be increased to more layers.
80. A structural assembly of composite layers, characterized in that, The system comprises at least a first and a second connected layer, and a first and a second connecting layer serving as the connection. Each of the first and second layers contains at least one structural layer group, and each structural layer group contains at least four structural components. Each structural component is composed of at least one unit or an assembly composed of two or more units. The static connection structures in the connecting parts of the main bodies of each constituent unit in the first and second connecting layers simultaneously connect the structural components in the first and second layers, forming an integrated composite structure. Each of the aforementioned individual units has at least one main body, and each main body of each individual unit has at least two or at least four connecting parts, two or four tilt angles, and two or four static connection structures. In each of the connected layers, each unit has at least four connecting parts, corresponding to at least four tilt angles and four static connection structures. In each of the connecting layers that serve as active connections, each unit that acts as a connector, connecting the upper and lower layers, has at least two connecting parts, corresponding to at least two tilt angles and two static connection structures. Each of the aforementioned individual units has at least one static connection structure in each connecting part, and each static connection structure has at least one connecting axis. The first connecting axis in the static connection structure of the first connecting part of the main body of each individual unit is the static axis of the main body of the individual unit. The first connecting axis in the static connection structure of the second connecting part of the main body of each individual unit is the static axis of the main body of the individual unit. The first connecting axis in the static connection structure of the third connecting part of the main body of each individual unit is the static axis of the main body of the individual unit. There is a static spatial angle C12 between the static axes of the first and second units, a static spatial angle C23 between the static axes of the second and third units, and a static spatial angle C13 between the static axes of the first and third units. The angle values of the static spatial angles C12, C23, and C13 are between 0° and 90°, excluding 0°. Including 90°, each connecting axis of each main body of each unit also has a projection axis in its own coordinate system plane XOY plane. There are also tilt angles between each static axis and the corresponding projection axis in the XOY plane. The angle between the line and plane of each static axis and its corresponding coordinate system plane XOY plane is the tilt angle. The angular value of each tilt angle of each main body of each unit is 0° to 90° and excluding 0° and including 90°. There are also projection angles between each static axis projection axis. The angular value of each projection angle of each main body of each unit is 0° to 180° and excluding 0° and excluding 180°. When there are three or more axes, at least one of the projection angles of each main body of each corresponding unit has an angular value of 0° to 180° and excluding 0° and excluding 180°, and the angular values of the other projection angles are 0° to 180° and excluding 0° and excluding 180°.
81. A structural assembly of composite layers as described in claim 80, characterized in that, The structural assembly consists of at least a first structural layer group, a second structural layer group, and a first and second connecting layer group, which together constitute the structural assembly. The first and second connecting layer groups have at least four corner structural assembly structures, each of which is formed by connecting at least two structural units. The first structural layer of the structural assembly has at least four structural components. The second structural layer of the structural assembly has at least four structural components. The first structural layer group comprises at least four structural components: a first structural layer group horizontal component one, a first structural layer group horizontal component two, a first structural layer group vertical component one, and a first structural layer group vertical component two. The second structural layer group comprises at least four structural components: a horizontal component 1, a horizontal component 2, a vertical component 1, and a vertical component 2. The first and second connecting layers of the structural assembly have at least four structural components. The at least four structural components of the first and second connecting layer groups of the structural assembly are: a horizontal-vertical-horizontal connecting component, a horizontal-vertical-second connecting component, a horizontal-vertical-first connecting component, and a horizontal-vertical-second connecting component. The aforementioned horizontal-vertical-horizontal connecting component includes at least one structural assembly. The structural assembly within the horizontal-vertical-horizontal connecting component includes at least two individual structural units and a structural connection between the two individual structural units. The horizontal-vertical-horizontal connecting component forms a structural connection with the horizontal component and / or vertical component in the first structural layer group. The connecting axis of a static connection structure in a connecting part of a structural unit in the horizontal-vertical-vertical connecting assembly coincides with or is parallel to the connecting axis of a static connection structure in a connecting part of a structural unit at a horizontal-vertical-corner point in the first structural layer group, forming a dynamic connection structure. In the aforementioned horizontal-vertical-connecting assembly, a connecting axis in a static connecting structure of a connecting part of another structural unit in the second structural layer group coincides with or is parallel to a connecting axis in a static connecting structure of a connecting part of a structural unit at a horizontal-vertical-corner position, forming another static connecting structure. Two dynamic connecting structures form a dynamic connecting structure group. The aforementioned horizontal-vertical-connecting assembly has at least one dynamic connecting structure group at a horizontal-vertical-corner position. The aforementioned horizontal-vertical-two-connection assembly includes at least one structural unit assembly. The structural unit assembly within the horizontal-vertical-two-connection assembly includes at least two individual structural units and a structural connection between the two individual structural units. The horizontal-vertical-two-connection assembly forms a structural connection with the horizontal-one component and / or the vertical-two component in the first structural layer group. A connecting axis in a static connection structure of a connecting part of a structural unit in the horizontal-vertical-two-connecting assembly coincides with or is parallel to the connecting axis in a static connection structure of a connecting part of a structural unit at one of the two corners of the first structural layer group, forming a dynamic connection structure. In the aforementioned horizontal-vertical-two-connection assembly, a connecting axis in a static connection structure of a connecting part of another structural unit in the second structural layer group coincides with or is parallel to the connecting axis in a static connection structure of a connecting part of a structural unit at one of the two corners of the horizontal-vertical-one connection group, forming another dynamic connection structure. These two dynamic connection structures form a dynamic connection structure group. The aforementioned horizontal-vertical-two-connection assembly has at least one dynamic connection structure group at one of the two corners of the horizontal-vertical-one connection group. The aforementioned two-horizontal-one-vertical-span connecting component includes at least one structural assembly. The structural assembly within the two-horizontal-one-vertical-span connecting component includes at least two individual structural units and a structural connection between the two structural units. The two-horizontal-one-vertical-span connecting component forms a structural connection with the two-horizontal component and / or the one-vertical component in the first structural layer group. The connecting axis of a static connection structure in a connecting part of a structural unit in the two horizontal and one vertical connection assembly coincides with or is parallel to the connecting axis of a static connection structure in a connecting part of a structural unit at one of the two horizontal and one vertical corners of the first structural layer group, forming a dynamic connection structure. In the aforementioned two-horizontal-one-vertical-connecting assembly, a connecting axis in a static connecting structure of a connecting part of another structural unit in the second structural layer group coincides with or is parallel to the connecting axis in a static connecting structure of a connecting part of a structural unit at one corner of the two-horizontal-one-vertical-one-horizontal ... The aforementioned two-horizontal-two-vertical-two connecting assembly includes at least one structural unit assembly. The structural unit assembly in the two-horizontal-two-vertical-two connecting assembly includes at least two structural units and a structural connection between the two structural units. The two-horizontal-two-vertical-two connecting assembly forms a structural connection with the two-horizontal and / or two-vertical components in the first structural layer group. A connecting axis in a static connection structure of a connecting part of a structural unit in the two horizontal and two vertical connecting components is coincident with or parallel to a connecting axis in a static connection structure of a connecting part of a structural unit at one of the two horizontal and two vertical corners of the first structural layer group, forming a dynamic connection structure. In the aforementioned two-horizontal-two-vertical-two-connection assembly, a connecting axis in a static connection structure of a connecting part of another structural unit at one of the two horizontal and two vertical corners of the second structural layer group coincides with or is parallel to a connecting axis in a static connection structure of a connecting part of another structural unit at one of the two horizontal and two vertical corners, forming another dynamic connection structure. These two dynamic connection structures form a dynamic connection structure group. The aforementioned two-horizontal-two-vertical-two-connection assembly has at least one dynamic connection structure group at one of the two horizontal and two vertical corners. The first and second structural layer groups have at least one corner structural combination structure in the horizontal, vertical and corner directions. The structural structure in the horizontal, vertical and corner directions is composed of a dynamic connection structure group. There are at least four corner structural combination structures in total in the horizontal, vertical and corner directions, the horizontal and vertical corner directions, the horizontal and vertical corner directions, and the horizontal and vertical corner directions.
82. The structural assembly of the composite layer group as described in claim 80, characterized in that, The aforementioned structural assembly consists of three or more connected layers: a first structural layer group, a second structural layer group, and a third structural layer group. It also includes two or more connecting structural assembly layers: a first and second connecting layer group and a second and third connecting layer group. The first and second connecting layer groups connect the first and second structural layer groups respectively, while the second and third connecting layer groups connect the second and third structural layer groups respectively.
83. A digital construct single entity, characterized in that, The system comprises at least one digital body, which includes at least two digital connecting parts, each digital connecting part including at least one digital static connection structure, and each digital static connection structure including at least one first digital connection axis. The system is characterized in that the digital structure unit has at least two digital static axes, digital static axis one and digital static axis two, which are not parallel, coincident, or intersecting. Digital static axis one and digital static axis two each have at least one digital projection axis on the XOY plane of the coordinate system, namely, digital projection axis one of digital static axis one and digital projection axis two of digital static axis two. The digital structure unit also has at least two digital tilt angles, digital tilt angle one being dig_ a1 and digital tilt angle 2 dig_a2, wherein digital tilt angle 1 dig_a1 and digital tilt angle 2 a2 are the line-plane angles between digital static axis 1 and digital static axis 2 and the coordinate system plane XOY plane, respectively; each digital structure unit has at least one digital projection angle dig_b12, wherein digital projection angle dig_b12 is the line-line angle between digital projection axis 1 of digital static axis 1 and digital projection axis 2 of digital static axis 2; the digital units can be interconnected; each digital unit is closely connected or detached by moving forward or backward along each of the digital static axes; in the main body of each unit, at least two static axes are skew straight lines.
84. A digital construct single entity as described in claim 83, characterized in that, The digital static axis one and digital static axis two form a digital static space angle dig_C12, and the range of the digital static space angle C12 is: 0°<dig_C12≤90°.
85. The digital construct single entity as described in claim 83, characterized in that, The single unit has one or two digital static axes, each with one end and two ends. There is also a spatial angle between the ends of the digital static axes. The angle value of the spatial angle between the ends is 0° < dig_Cu1u2 < 180°. When the angle value between the ends is less than or equal to 90°, the size of the spatial angle between the ends is equal to the size of the static space angle. When the angle value of the spatial angle between the ends is greater than 90°, the size of the spatial angle between the ends is complementary to the size of the static space angle.
86. A digital construct single entity as described in claim 83, characterized in that, The range of the digital tilt angles dig_a1 and dig_a2 is: 0° < dig_a1 < 90°, 0° < dig_a2 < 90°.
87. A digital construct single entity as described in claim 83, characterized in that, The range of the digital projection angle dig_b12 is: 0° < dig_b12 < 180°.
88. A digital construct single entity as described in claim 83, characterized in that, The digital static axis one and digital static axis two form a digital static space angle dig_C12, the range of the digital static space angle dig_C12 is: 0° < dig_C12 ≤ 90°; the range of the digital tilt angle one dig_a1 and digital tilt angle two dig_a2 is: 0° < dig_a1 < 90°, 0° < dig_a2 < 90°; the range of the digital projection angle b12 is: 0° < dig_b12 < 180°.
89. The digital construct single entity as described in claim 83, characterized in that, Each digital static connection structure of the digital structural unit includes a male digital connection terminal and / or a female digital connection terminal, or the connection terminals are identical and have no male / female connection features. The male digital connection terminal and / or the female digital connection terminal are snap-fit or plug-in type. The aforementioned snap-fit type includes a slotted snap-fit and / or a cross-slotted snap-fit. The aforementioned plug-in type includes a method of mutual plugging between a round or square hole and a cylindrical or square column.
90. The digital construct single entity as described in claim 83, characterized in that, This digital construct has at least two digital static axis perpendicular planes, each being a plane passing through the digital static axis and perpendicular to the XOY plane. The angle between the two digital static axis perpendicular planes is between 0° and 180°, excluding 0° and 180°. Each connection end also has a digital limiting surface and / or digital limiting line and / or digital limiting point. There is a digital vertical plane tilt angle between the digital limiting surface and the digital static axis vertical plane. The angle value of the digital vertical plane tilt angle is from 0° to 90°, excluding 0° and excluding 90°. The digital vertical plane tilt angle can be clockwise or counterclockwise.
91. The digital construct single entity as described in claim 84, characterized in that, The angle value of the digital static space angle dig_C12 is: 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 4 8.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 90°.
92. The digital construct single entity as described in claim 86, characterized in that, The angle values of the digital tilt angle one dig_a1 and the digital tilt angle two dig_a2 are as follows: The digital tilt angle -dig_a1 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.81°. 03°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65° 0.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. The angle value of the inclination angle dig_a2 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.81°. 03°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65° 0.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°.
93. A digital construct single entity as described in claim 86, characterized in that, The angle values of the digital tilt angle one dig_a1 and the digital tilt angle two dig_a2 are equal, dig_a1 = dig_a2.
94. A digital construct single entity as described in claim 87, characterized in that, The angle value of the digital projection angle dig_b12 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8°. 103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 6 5.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Or 90° Or 109.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 15°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 110.9051°, or 112.5°, or 114.0949°, or 116.565° 1°, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.8698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 1 35°, or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 15 5.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°.
95. The digital construct singleton as described in claim 86, characterized in that, The angle values of the digital tilt angle one (dig_a1) and the digital tilt angle two (dig_a2) are equal, and the equal angle values of the digital tilt angle one (dig_a1) and the digital tilt angle two (dig_a2) are 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18. 4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37 0.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Furthermore, the angle value of the included angle dig_C12 in the digital static space is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°. , or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41. 8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 6 5.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Or 90°.
96. A digital construct single-unit as described in claim 83, characterized in that, The angle value of the digital projection angle dig_b12 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8°. 103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 6 5.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Or 90° Or 109.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 15°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 110.9051°, or 112.5°, or 114.0949°, or 116.565° 1°, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.8698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 1 35°, or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 15 5.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°. and, The angle value of the digital static space angle dig_C12 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°. Or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8 103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 6 5.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Or 90°.
97. A digital construct single entity as described in claim 83, characterized in that, The digital tilt angles dig_a1 and dig_a2 are equal in value. The digital tilt angle dig_a1 is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, or 19.471°. 2°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4 349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Or 90° Furthermore, the angle value of the digital projection angle dig_b12 is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°. , or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41. 8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 6 5.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Or 90° Or 109.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 15°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 110.9051°, or 112.5°, or 114.0949°, or 116.565° 1°, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.8698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 1 35°, or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 143.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 15 5.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 160.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°.
98. The digital construct single entity as described in claim 83, characterized in that, This digital construct has exactly three digital static axes: Digital Static Axis 1, Digital Static Axis 2, and Digital Static Axis 3. At least two of these three axes are neither parallel, coincident, nor intersecting. Each of Digital Static Axis 1, Digital Static Axis 2, and Digital Static Axis 3 has at least one digital projection axis on the XOY plane of the coordinate system: Digital Projection Axis 1 (Digital Projection Axis 1), Digital Projection Axis 2 (Digital Projection Axis 2), and Digital Projection Axis 3 (Digital Projection Axis 3). This digital construct has at least three digital tilt angles: Digital Tilt Angle 1 (dig_a1), Digital Tilt Angle 2 (dig_a2), and Digital Tilt Angle 3 (dig_a3), which are the angles between Digital Static Axis 1, Digital Static Axis 2, and Digital Static Axis 3 and the XOY plane of the coordinate system, respectively. This digital construct also has at least three digital projection angles: dig_b12 and dig_b23. The range of values for the digital static space angles is as follows: dig_b13, dig_C12, and dig_C23. The range of values for the digital static space angles is as follows: 0° < dig_C12 ≤ 90°. The range of values for the digital static space angles is as follows: 0° ≤ dig_C23 ≤ 90°. The range of values for the digital static space angles is as follows: 0° ≤ dig_C13 ≤ 90°. The range of values for the digital tilt angle one (dig_a1) is as follows: 0° < dig_a1 < 90°. The range of values for the digital tilt angle two (dig_a2) is as follows: The range of angle values is: 0° < dig_a2 < 90°; the range of digital tilt angle dig_a3 is: 0° < a3 < 90°; the range of digital projection included angle dig_b12 is: 0° < dig_b12 < 180°; the range of digital projection included angle dig_b23 is: 0° < dig_b23 ≤ 180°; and the range of digital projection included angle dig_b13 is: 0° < dig_b13 ≤ 180°. or, This digital construct has exactly four digital static axes: Digital Static Axis 1, Digital Static Axis 2, Digital Static Axis 3, and Digital Static Axis 4. At least two of these axes are not parallel, do not coincide, and do not intersect. Each of these axes has at least one digital projection axis on the XOY plane of the coordinate system: Digital Projection Axis 1 (Digital Projection Axis 1), Digital Projection Axis 2 (Digital Projection Axis 2), Digital Projection Axis 3 (Digital Projection Axis 3), and Digital Projection Axis 4 (Digital Projection Axis 4). This digital construct has at least four... There are four digital tilt angles: digital tilt angle one (dig_a1), digital tilt angle two (dig_a2), digital tilt angle three (dig_a3), and digital tilt angle four (dig_a4). These digital tilt angles are the angles between the first, second, third, and fourth digital static axes and the XOY plane of the coordinate system, respectively. This digital structure has at least four digital projection angles: dig_b12, dig_b23, dig_b34, and dig_b14, among which... The range of the digital static space angle dig_C12 is: 0° < dig_C12 ≤ 90°; the range of the digital static space angle dig_C23 is: 0° ≤ dig_C23 ≤ 90°; the range of the digital static space angle dig_C34 is: 0° ≤ dig_C34 ≤ 90°; the range of the digital static space angle dig_C14 is: 0° ≤ dig_C14 ≤ 90°; the range of the digital tilt angle one dig_a1 is: 0° < dig_a1 < 90°; and the range of the digital tilt angle two dig_a2 is: 0° < dig_a2 < 90°. 0°, the range of digital tilt angle dig_a3 is: 0°<dig_a3<90°, the range of digital tilt angle dig_a4 is: 0°<dig_a4<90°, the range of digital projection angle dig_b12 is: 0°<dig_b12<180°, the range of digital projection angle dig_b23 is: 0°<dig_b23≤180°, the range of digital projection angle dig_b34 is: 0°<b34≤180°, and the range of digital projection angle dig_b14 is: 0°<dig_b14≤180°; or, This digital structure has exactly five digital static axes: Digital Static Axis 1, Digital Static Axis 2, Digital Static Axis 3, Digital Static Axis 4, and Digital Static Axis 5. At least two of these axes are not parallel, do not coincide, and do not intersect. Each of these axes has at least one digital projection axis on the XOY plane of the coordinate system: Digital Static Axis 1's digital projection axis 1, Digital Static Axis 2's digital projection axis 2, Digital Static Axis 3's digital projection axis 3, Digital Static Axis 4's digital projection axis 4, and Digital Static Axis 5's digital projection axis 5. This digital structure also has at least five digital tilt angles, with each tilt angle having a specific value (d). ig_a1, digital tilt angle 2 dig_a2, digital tilt angle 3 dig_a3, digital tilt angle 4 dig_a4, and digital tilt angle 5 dig_a5, wherein digital tilt angle 1 dig_a1, digital tilt angle 2 dig_a2, digital tilt angle 3 dig_a3, digital tilt angle 4 dig_a4, and digital tilt angle 5 dig_a5 are the line-plane angles between digital static axis 1, digital static axis 2, digital static axis 3, digital static axis 4, and digital static axis 5 and the coordinate system plane XOY plane, respectively; this digital structure has at least five digital projection angles dig_b12, dig_b23, dig_b34, dig_b45, and dig_b15, among which, the digital static space angle dig_C12 is an angle value. The ranges are as follows: 0° < dig_C12 ≤ 90°; the ranges for digital static space angles C23 and C23 are: 0° ≤ dig_C23 ≤ 90°; the ranges for digital static space angles dig_C34 and C34 are: 0° ≤ dig_C34 ≤ 90°; the ranges for digital static space angles dig_C45 and C45 are: 0° ≤ dig_C45 ≤ 90°; the ranges for digital static space angles dig_C15 and C15 are: 0° ≤ dig_C15 ≤ 90°; the ranges for digital tilt angle one (dig_a1) are: 0° < dig_a1 < 90°; the ranges for digital tilt angle two (dig_a2) are: 0° < dig_a2 < 90°; and the ranges for digital tilt angle three (dig_a3) are: 0° < dig_a2 < 90°. 3 < 90°, the range of digital tilt angle 4 (dig_a4) is: 0° < dig_a4 < 90°, the range of digital tilt angle 5 (dig_a5) is: 0° < dig_a5 < 90°, the range of digital projection angle (dig_b12) is: 0° < dig_b12 < 180°, the range of digital projection angle (dig_b23) is: 0° < dig_b23 ≤ 180°, the range of digital projection angle (dig_b34) is: 0° < dig_b34 ≤ 180°, the range of digital projection angle (dig_b45) is: 0° < dig_b45 ≤ 180°, and the range of digital projection angle (dig_b15) is: 0° < dig_b15 ≤ 180°. or, This digital construct has exactly six digital static axes: Digital Static Axis 1, Digital Static Axis 2, Digital Static Axis 3, Digital Static Axis 4, Digital Static Axis 5, and Digital Static Axis 6. At least two of these digital static axes are non-parallel, non-coincident, and non-intersecting. Each of these six digital static axes has at least one digital projection axis on the XOY plane of the coordinate system. The digital projection axes of digital static axes 1, 2, 3, 4, 5, and 6 are: Digital Projection Axis 1, Digital Projection Axis 2, Digital Projection Axis 3, Digital Projection Axis 4, Digital Projection Axis 5, and Digital Projection Axis 6. The digital projection axis six of the image axis five and the digital static axis six; the single digital structure has at least six digital tilt angles, digital tilt angle one dig_a1, digital tilt angle two dig_a2, digital tilt angle three dig_a3, digital tilt angle four dig_a4, digital tilt angle five dig_a5 and digital tilt angle six dig_a6, wherein digital tilt angle one dig_a1, digital tilt angle two dig_a2, digital tilt angle three dig_a3, digital tilt angle four dig_a4, digital tilt angle five dig_a5 and digital tilt angle six dig_a6 are respectively the line-plane angles between digital static axis one, digital static axis two, digital static axis three, digital static axis four, digital static axis five and digital static axis six and the coordinate system plane XOY plane;This digital construct has at least six digital projection angles: dig_b12, dig_b23, dig_b34, dig_b45, dig_b56, and dig_b16. Among these, the range of the digital static space angle dig_C12 is: 0° < dig_C12 ≤ 90°; the range of the digital static space angle dig_C23 is: 0° ≤ dig_C23 ≤ 90°; and the range of the digital static space angle dig_C34 is: 0° ≤ dig_C12 ≤ 90°. C34≤90°, the range of the digital static space angle dig_C45 is: 0°≤dig_C45≤90°, the range of the digital static space angle dig_C56 is: 0°≤dig_C56≤90°, the range of the digital static space angle dig_C16 is: 0°≤dig_C16≤90°, the range of the digital tilt angle one dig_a1 is: 0°<dig_a1<90°, and the range of the digital tilt angle two a2 is: 0°<dig_a2<90°. The range of digital tilt angle values for three (dig_a3) is 0° < dig_a3 < 90°; for four (dig_a4) it is 0° < dig_a4 < 90°; for five (dig_a5) it is 0° < dig_a5 < 90°; for six (dig_a6) it is 0° < dig_a6 < 90°; and for the digital projection angle (dig_b12) it is 0° < dig_b12 < 180°. The range of angle values for dig_b23 is: 0° < dig_b23 ≤ 180°; the range of angle values for digital projection dig_b34 is: 0° < dig_b34 ≤ 180°; the range of angle values for digital projection dig_b45 is: 0° < dig_b45 ≤ 180°; the range of angle values for digital projection dig_b56 is: 0° < dig_b56 ≤ 180°; and the range of angle values for digital projection dig_b16 is: 0° < dig_b16 ≤ 180°. or, This digital construct has exactly eight digital static axes: Digital Static Axis 1, Digital Static Axis 2, Digital Static Axis 3, Digital Static Axis 4, Digital Static Axis 5, Digital Static Axis 6, Digital Static Axis 7, and Digital Static Axis 8. Among these, at least two digital static axes are neither parallel, coincident, nor intersecting. Each of these digital static axes has at least one projection axis on the XOY plane of the coordinate system. The projection axes of Digital Static Axis 1, Digital Static Axis 2, Digital Static Axis 3, Digital Static Axis 4, Digital Static Axis 5, Digital Static Axis 6, and Digital Static Axis 7 are also projected onto the XOY plane. The projection axis seven and the digital static axis eight are digital projection axes eight; the digital structure unit has at least eight digital tilt angles, digital tilt angle one dig_a1, digital tilt angle two dig_a2, digital tilt angle three dig_a3, digital tilt angle four dig_a4, digital tilt angle five dig_a5, digital tilt angle six dig_a6, digital tilt angle seven dig_a7 and digital tilt angle eight dig_a8, wherein the digital tilt angle one dig_a1, digital tilt angle two dig_a2, digital tilt angle three dig_a3, digital tilt angle four dig_a4, digital tilt angle five dig_a5, digital tilt angle six dig_a6, digital tilt angle seven dig_a7 and digital tilt angle eight are respectively the line-plane angles between digital static axes one, digital static axes two, digital static axes three, digital static axes four, digital static axes five, digital static axes six, digital static axes seven and digital static axes eight and the coordinate system plane XOY plane;This digital construct has at least eight digital projection angles: dig_b12, dig_b23, dig_b34, dig_b45, dig_b56, dig_b67, dig_b78, and dig_b18. Among these, the range of the digital static space angle dig_C12 is: 0° < dig_C12 ≤ 90°; the range of the digital static space angle dig_C23 is: 0° ≤ dig_C23 ≤ 90°; the range of the digital static space angle dig_C34 is: 0° ≤ dig_C34 ≤ 90°; and the range of the digital static space angle dig_C45 is: 0° ≤ dig_C45. The range of the digital static space angle dig_C56 is: 0°≤dig_C56≤90°; the range of the digital static space angle dig_C67 is: 0°≤dig_C67≤90°; the range of the digital static space angle dig_C78 is: 0°≤dig_C78≤90°; the range of the digital static space angle dig_C18 is: 0°≤dig_C18≤90°; the range of the digital tilt angle one dig_a1 is: 0°<dig_a1<90°; the range of the digital tilt angle two dig_a2 is: 0°<dig_a2<90°; the range of the digital tilt angle three dig_a3 is: ≤90°. The range of digital tilt angles is: 0° < dig_a3 < 90°; 0° < dig_a4 < 90°; 0° < dig_a5 < 90°; 0° < dig_a6 < 90°; 0° < dig_a7 < 90°; 0° < dig_a8 < 90°; 0° < dig_a8 < 90°; 0° < dig_b12 < 180°; and 0° < dig_b23. The range of digital projection angles is as follows: 0° < dig_b23 ≤ 180°; 0° < dig_b34 ≤ 180°; 0° < dig_b45 ≤ 180°; 0° < dig_b56 ≤ 180°; 0° < dig_b67 ≤ 180°; 0° < dig_b78 ≤ 180°; 0° < dig_b78 ≤ 180°; 0° < dig_b18 ≤ 180°.
99. The digital construct single entity as described in claims 83, 84, 85, 86, 87, or 88, wherein the angular value combination of the sequentially ordered digital static space angles between the plurality of digital static axes of the digital construct single entity comprises, When the digital construct has only three digital static axes, it has only three consecutive digital static space included angles, dig_C12, dig_C23, and dig_C13. The values of the three digital static space included angles are either all equal, two are equal, or all are unequal. or, When the digital construct has only four digital static axes, it has only four consecutive digital static space angles, dig_C12, dig_-C23, dig_-C34, dig_C14. The angle values of the four consecutive digital static space angles are either all equal, or three are equal, or two are equal, or all are unequal. or, When the digital construct has only five digital static axes, it has only five consecutive sequential digital static space angles: dig_C12, dig_-C23, dig_-C34, dig_-C45, dig_C15. The values of these five consecutive sequential digital static space angles are either all equal, four equal, three equal, two equal, or all unequal. or, When the digital construct has only six digital static axes, it has only six consecutive sequential digital static space angles: dig_C12, dig_-C23, dig_-C34, dig_-C45, dig_-C56, dig_C16. The angle values of the six consecutive sequential digital static space angles are either all equal, or five equal, or four equal, or three in a group, with one or two groups where all three angles in the group are equal, or two equal in a group, with one or two groups where the two angles in the group are equal, or all unequal. or, When the digital construct has exactly eight static axes, it also has exactly eight consecutive sequentially arranged static space angles: dig_C12, dig_-C23, dig_-C34, dig_-C45, dig_-C56, dig_-C67, dig_-C78, and dig_C18. The angle values of these eight consecutively arranged static space angles are either all equal, six equal, five equal, or grouped into sets of four (one or two sets where all four angles within a set are equal), or grouped into sets of three (one or two sets where all three angles within a set are equal), or grouped into sets of two (one, two, three, or four sets where the two angles within a set are equal, or all angles are unequal. Furthermore, the range of values for the angles within the static spaces of the aforementioned numbers are as follows: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, or 22.5°. °, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8 103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9 051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, or 90°.
100. The digital construct unit as described in claims 83, 84, 85, 86, 87, or 88, wherein the combination of angle values of the sequentially ordered digital static space angles between multiple digital static axes of the digital construct unit includes, the combination of angle values of the digital tilt angles between multiple digital static axes, and the multiple digital tilt angles of the digital construct unit, wherein the combination of angle values of each digital tilt angle includes, When there are exactly three numerical tilt angles, dig_a1, dig_a2, and dig_a3, all three tilt angles are equal. The values of these equal angles are: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, or 19.4°. 712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°. Or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4 349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; When there are exactly three numerical tilt angles dig_a1, dig_a2, and dig_a3, there are exactly two numerical tilt angles that are equal. The equal angles are 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, or 19.4°. 712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°. Or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4 349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; When there are exactly four numerical tilt angles dig_a1, dig_a2, dig_a3, and dig_a4, all four tilt angles are equal. The equal angle values are 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, or 18.4349°. Or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.952° 5°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63 0.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; When there are exactly four numerical tilt angles dig_a1, dig_a2, dig_a3, and dig_a4, there are exactly three numerical tilt angles that are all equal. The equal angle values are 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, or 18.4349°. °, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9 525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 6 3.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; When there are exactly four digital tilt angles dig_a1, dig_a2, dig_a3, and dig_a4, there are exactly two digital tilt angles grouped together. There may be one group or two groups, with each group containing two tilt angles. The tilt angles within a group are either equal in value, or the values of the tilt angles between the two groups are not equal. The equal angle values are 9.7356°, 10.8123°, 12.0475°, 13.2826°, or 15°. Or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36 0.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; When there are exactly five numerical tilt angles dig_a1, dig_a2, dig_a3, dig_a4, and dig_a5, all five tilt angles are equal, and the equal angle values are 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, or 18.4°. 349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37 0.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; When there are exactly six numerical tilt angles dig_a1, dig_a2, dig_a3, dig_a4, dig_a5, and dig_a6, all six numerical tilt angles are equal. The equal angle values are 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, or 18°. Or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°. Or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, Or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; When there are exactly six numbers with tilt angles dig_a1, dig_a2, dig_a3, dig_a4, dig_a5, and dig_a6, there are either one or two groups of these six numbers, each group containing three tilt angles. The tilt angles within a group are either equal in value, or / or unequal between any two groups. The equal angle values are 9.7356°, 10.8123°, 12.0475°, 13.2826°, or 1... 5°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, Or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; When there are exactly eight numerical tilt angles dig_a1, dig_a2, dig_a3, dig_a4, dig_a5, dig_a6, dig_a7, and dig_a8, all eight numerical tilt angles are equal, and the equal angle values are 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, or 17°. 6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37 0.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.77 86°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; When there are exactly eight numbers with tilt angles dig_a1, dig_a2, dig_a3, dig_a4, dig_a5, dig_a6, dig_a7, and dig_a8, there are either one or two groups of these eight numbers, each group containing four tilt angles. The tilt angles within a group are either equal in value, or / or unequal between any two groups. The equal angle values are 9.7356°, 10.8123°, or 12.0475°, or... 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36. 8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 6 0°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°.
101. The digital construct unit as described in claims 83, 84, 85, 86, 87, or 88, wherein the digital construct unit comprises a plurality of sequentially ordered digital projection angles between a plurality of digital static axes, and the angle values of the sequentially ordered digital projection angles are combined as follows: If there are exactly three consecutive sequentially projected angles (dig_b12, dig_b23, dig_b13), then all triangles are equal, and the value of each equal angle is 60°; or, If there are exactly three consecutive sequentially projected digital angles (dig_b12, dig_b23, dig_b13), then all triangles are equal, and the angle value is 120°; or... When there are exactly three consecutive sequentially projected digital angles, dig_b12, dig_b23, and dig_b13, exactly two of them are equal. The equal angle values are 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, or 18.434°. 9°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9° 525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 6 3.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Or 90° Or 99.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 105°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 110.9051°, or 112.5°, or 114.0949°, or 116.5651° °, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.8698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 13 5°, or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 53.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 155°. 9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 150.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°; or, When there are exactly four consecutive sequentially projected digital angles dig_b12, dig_b23, dig_b34, and dig_b14, all four angles are equal and the angle value is 90°; or, When there are exactly four consecutive sequentially projected digital angles dig_b12, dig_b23, dig_b34, and dig_b14, there are four angles that are pairwise equal, and the sum of any two adjacent angles is 180°. The angle values are 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, or 17.6322°. Or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.37 74°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786 °, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; When there are exactly four consecutive sequentially projected digital angles dig_b12, dig_b23, dig_b34, and dig_b14, there are exactly two triangles that are equal, with angle values of 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, or 18. 4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37 0.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Or 99.7356°, or 100.8123°, or 102.0475°, or 103.2826°, or 105°, or 106.7786°, or 107.6322°, or 108°, or 108.4349°, or 109.4712°, or 110.9051°, or 112.5°, or 114.0949°, or 116.5651°, or 117.3768°, or 118.2213°; or, There are exactly five consecutive sequentially projected digital angles: dig_b12, dig_b23, dig_b34, dig_b45, and dig_b15, at which all five angles are equal and the angle value is 72°; or, There are exactly five consecutive sequentially projected digital angles: dig_b12, dig_b23, dig_b34, dig_b45, and dig_b15, at which all five angles are equal and the angle value is 108°; or, When there are exactly five consecutive sequentially projected digital angles dig_b12, dig_b23, dig_b34, dig_b45, and dig_b15, four angles are all equal, with angle values of 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, 26.5651°, 28.2213°, 30°, 31.7175°, 33.5573°, 35.2644°, or 36°. 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or... Or 108.4349°, or 109.4712°, or 110.9051°, or 112.5°, or 114.0949°, or 116.5651°, or 117.3768°, or 118.2213°, or 120°, or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.8698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°, 142.0475°, 142 0.6226°, or 143.1302°, or 53.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 155.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 150.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°; or, Only when there are six consecutive sequentially projected digital angles dig_b12, dig_b23, dig_b34, dig_b45, dig_b56, and dig_b16, are all six angles equal and have a value of 60°; or, Only when there are exactly six consecutive sequentially projected digital angles, dig_b12, dig_b23, dig_b34, dig_b45, and dig_b15, are all five angles equal, with a value of 120°; or, When there are exactly six consecutive sequentially projected angles dig_b12, dig_b23, dig_b34, dig_b45, dig_b56, and dig_b16, five angles are all equal, with angle values of 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, or 26.5651°. Or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, Or 121.7175°, or 123.5573°, or 125.2644°, or 126°, or 126.8698°, or 126.8696°, or 127.3774°, or 127.9525°, or 128.9424°, or 131.8103°, or 135°, or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 53.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 155.9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 150.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°; or, There are exactly eight consecutive sequentially projected digital angles, dig_b12, dig_b23, dig_b34, dig_b45, dig_b56, dig_b67, dig_b78, and dig_b18, when all eight angles are equal and the angle value is 45°; or, There are exactly eight consecutive sequentially projected digital angles, dig_b12, dig_b23, dig_b34, dig_b45, dig_b56, dig_b67, dig_b78, and dig_b18, when all eight angles are equal and the angle value is 135°; or, When there are exactly eight consecutive sequentially projected angles (dig_b12, dig_b23, dig_b34, dig_b45, dig_b56, dig_b67, dig_b78, dig_b18), seven of these angles are all equal, with angle values of 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, or 1... 8.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°. Or 138.1897°, or 141.0576°, 142.0475°, 142.6226°, or 143.1302°, or 53.1304°, or 144°, or 144.7356°, or 146.4427°, or 148.2825°, or 150°, or 151.7786°, or 153.4349°, or 155°. 9051°, or 142.0475°, or 157.5°, or 157.7174°, or 159.0948°, or 150.5288°, or 161.5651°, or 162°, or 162.3768°, or 163.2213°, or 165°, or 167.9525°, or 169.1877°, or 170.2644°.
102. The digital construct unit as described in claims 83, 84, 85, 86, 87, or 88, wherein the unit has a plurality of digital static axes and corresponding digital static space angles between each digital static axis, as well as digital tilt angles and digital projection angles between each digital projection axis. The aforementioned combinations of angle values are: When there are three digital static axes, the three digital tilt angles are all equal, and the equal angle values are: 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7 356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Furthermore, the included angles of the three digital projections are all equal, at 60°; Alternatively, when there are three digital static axes, the three digital tilt angles are all equal, and the equal angle values are 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20°. 9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.94 24°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349 °, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, Furthermore, the included angles of the three digital projections are all equal, at 120°; Alternatively, when there are four digital static axes, the four digital tilt angles are all equal, and the equal angle values are 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20°. 9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.94 24°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349 °, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, Furthermore, the included angles of the four digital projections are all equal, at 90°; Alternatively, when there are five static axes, the inclination angles of the five axes are all equal, and the equal angle values are 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20°. 9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.94 24°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349 °, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, Furthermore, the included angles of the five digital projections are all equal, at 72°; Alternatively, when there are five static axes, the inclination angles of the five axes are all equal, and the equal angle values are 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20°. 9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.94 24°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349 °, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, Furthermore, the included angles of the five digital projections are all equal, at 108°; Alternatively, when there are six numbered static axes, the six numbered tilt angles are all equal, and the equal angle values are 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20°. 9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.94 24°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349 °, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, Furthermore, the included angles of the six digital projections are all equal, at 60°; Alternatively, when there are six numbered static axes, the six numbered tilt angles are all equal, and the equal angle values are 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20°. 9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.94 24°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349 °, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, Furthermore, the included angles of the six digital projections are all equal, at 120°; Alternatively, when there are six digital static axes, the eight digital tilt angles are all equal, and the equal angle values are 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20°. 9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.94 24°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349 °, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, Furthermore, the included angles of the eight projected numbers are all equal, at 45°; Alternatively, when there are six digital static axes, the eight digital tilt angles are all equal, and the equal angle values are 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20°. 9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.94 24°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349 °, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, Furthermore, the included angles of the eight projected numbers are all equal, at 135°; When there are three digital static axes, the three digital tilt angles are all equal, and the equal angle values are: 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7 356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Furthermore, the included angles of the three digital projections are all unequal, and the sum of two of these angles is 180°. The value of one of the included projection angles is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, or 19.4712°. 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38°. 9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.434 9°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; When there are four digital static axes, the four digital tilt angles are all equal, and the equal angle values are: 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7 356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Furthermore, the angles between the four projected numbers are equal in pairs, the sum of any two adjacent numbers is 180°, and the sum of the four angles is 360°. One of the digital projection angle values is 9.7356°, or 10.8123°, or 12.0475°, or 13.2826°, or 15°, or 16.7786°, or 17.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°. °, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65°. 9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; When there are six static axes, the six inclination angles are grouped into threes, with one or two groups. All three inclination angles in a group are equal. The angle values between groups are not equal, but the equal angle values are: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, or 18°. Or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°. Or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, Or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, Furthermore, among the multiple non-contiguous digital projection angles, there are three non-contiguous digital projection angles grouped together. There may be one group or two groups, and the sum of the three non-contiguous digital projection angles within a group is 360°. The angle value of one of these digital projection angles is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, or 17.63°. 22°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37°. 3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.778 6°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; When there are six static axes, the six inclination angles are grouped into fours, and the four combined angles are all equal in value, with the following values: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, or 19.47°. 12°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4 349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°. Furthermore, among the multiple non-contiguous digital projection angles, there is a group of four non-contiguous digital projection angles that are pairwise equal, with the sum of any two adjacent angles being 180° and the sum of the four angles being 360°. The angle value of one of these digital projection angles is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, 18°, 18.4349°, 19.4712°, 20.9051°, 22.5°, 24.0949°, or 26.5651°. 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7 356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°; When there are eight static axes, the eight inclination angles are grouped into fours, with one or two groups. All four angles in a group are equal. The angle values between groups are not equal, but the equal angle values are: 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, 17.6322°, or 18°. Or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 37.3774°. Or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.7786°, Or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°, Furthermore, among the multiple non-contiguous digital projection angles, there is a group of four non-contiguous digital projection angles. There may be one group or two groups, with each pair of angles being equal in length, the sum of any two adjacent angles being 180°, and the sum of the four angles being 360°. The angle value of one of these digital projection angles is either 9.7356°, 10.8123°, 12.0475°, 13.2826°, 15°, 16.7786°, or 17°. 0.6322°, or 18°, or 18.4349°, or 19.4712°, or 20.9051°, or 22.5°, or 24.0949°, or 26.5651°, or 28.2213°, or 30°, or 31.7175°, or 33.5573°, or 35.2644°, or 36°, or 36.8698°, or 36.8696°, or 3 7.3774°, or 37.9525°, or 38.9424°, or 41.8103°, or 45°, or 48.1897°, or 51.0576°, or °, 52.6226°, or 53.1302°, or 53.1304°, or 54°, or 54.7356°, or 56.4427°, or 58.2825°, or 60°, or 61.77 86°, or 63.4349°, or 65.9051°, or 67.0475°, or 67.5°, or 67.7174°, or 69.0948°, or 70.5288°, or 71.5651°, or 72°, or 72.3768°, or 73.2213°, or 75°, or 77.9525°, or 79.1877°, or 80.2644°.
103. A method for generating digital constructs and / or combinations of digital constructs, characterized in that, It includes three generation steps: step SSS1-1A, step SSS1-2A, and step SSS1-3A. Step SSS1-1A includes a method for generating the angle groups of digital static axes and digital dynamic axes for the combined angles of digital constructs and digital construct assemblies. This method includes steps SSS1-1-1 and SSS1-1-2. Step SSS1-1-1 involves first generating various regular polyhedra (step SSS1-1-1) and the corresponding edges of the polyhedra. Step SSS1-1-2 involves then generating triangular, square, or pentagonal pyramids that are equally divided by various polyhedra, and the corresponding edges of the pyramids. Step SSS1-1-1 includes steps S4-1 and / or S6-1 and / or S8-1 and / or S12A-1 and / or S12B-1 and / or S20-1 and / or S30-1 and / or steps S4-2 and / or steps S12B-2 and / or steps S12B-3, steps S6-2 and / or steps S8-2 and / or steps S30-2 and / or steps S30-3 and / or steps S12A-2. Step SSS1-1-2 further includes using the results from step SSS1-1-1 to generate various polygonal pyramids again, along with the corresponding edges of the polygonal pyramids. Step SSS1-1-2 includes further generating various polygonal pyramids and corresponding edges of the pyramids using the sub-steps of step SSS1-1-1. This includes steps S4S-1 and / or S6S-1 and / or S8S-1 and / or S12AS-1 and / or S12BS-1 and / or S20S-1 and / or S30S-1 and / or S12BS-2 and / or S12BS-3 and / or S6S-2 and / or S8S-2 and / or S30S-2 and / or S30S-3 and / or S12AS-2, where steps S30S-2 and / or S30S-3 represent steps S30S-2 and S30S-3. In step S4-1 of generating a regular tetrahedron, an XOY plane equilateral triangle is generated, and each triangle is used to generate a corresponding flipped equilateral triangle face with a side distance of α, α = α. rad, which is approximately four decimal places and has a precision of 70.5288°, is flipped from the inside out. In step S6-1 of generating a regular hexahedron, an XOY plane square is generated, and a corresponding flipped square is generated based on the edge distance. The flip angle is 90°, and the flipping method is from the inside out. In step S8-1 of generating a regular octahedron, S8-1 generates XOY plane triangles, and each generates a corresponding flipped triangle face with a side distance of α, α = α. rad, which is approximately four decimal places and has a precision of 109.4712°, is used to form one flip and then another, flipping from the inside out, until a closed regular octagon is formed. In step S12A-1 of generating a regular dodecahedron, an XOY plane regular pentagon is generated, and each pentagon generates a corresponding flipped triangle face with a side distance of α, α = α. The value in rad, approximately four decimal places, is 116.5651°. The flipping process involves flipping from the inside out, repeating this process multiple times until a closed regular dodecagon is formed. In step S20 of generating a regular icosahedron, S20-1 involves generating equilateral triangles in the XOY plane. Each triangle is then used to generate a corresponding flipped equilateral triangle face with a side distance. The flip angle is 138.1897°, and the flipping method is from the inside out, repeated once and then again, until a closed regular icosahedron is formed. Step S12B-1, which generates a rhombic dodecahedron, generates a rhombic quadrilateral on the XOY plane, with interior angles α, β, and α = α. rad, and acrtan Each rad generates a corresponding flipped rhombus quadrilateral with a side distance of 120°. The flipping method is from the inside out, forming one flip followed by another, and then another, until a closed rhombus dodecahedron is formed. Step S30-1, which generates a rhombic icosahedron, generates a rhombic quadrilateral on the XOY plane, with interior angles α, β, and α = α. rad, and acrtan Each rad generates a corresponding flipped rhombus quadrilateral with a side distance of 144°. The flipping method is from the inside out, forming one flip followed by another, and then another, until a closed rhombus 30-sided polygon is formed. Further, there are steps S4S-1 and / or S6S-1 and / or S8S-1 and / or S12AS-1 and / or S12BS-1 and / or S20S-1 and / or S30S-1 and / or S12BS-2 and / or S12BS-3 and / or S6S-2 and / or S8S-2 and / or S30S-2 and / or S30S-3 and / or S12AS-2, where and / or steps S30S-2 / 3 represent steps S30S-2 and / or S30S-3, thereby dividing the body into multiple equal parts. The method of division involves connecting the vertices of the multifaceted solid to form a tangent, thus dividing the solid into multiple equal parts. Step S4S-1: Using the regular polyhedron obtained in step S4-1, divide it into quarters to obtain a triangular pyramid. Step S6S-1: Using the regular polyhedron obtained in step S6-1, divide it into equal parts to obtain a square pyramid of one-sixths. Step S8S-1: Using the regular polyhedron obtained in step S8-1, divide it into equal parts to obtain a triangular pyramid of one-eighths. Step S12AS-1: Using the regular polyhedron obtained in step S12A-1, divide it into equal parts to obtain a pentagonal pyramid of 1 / 12th. Step S12BS-1: Using the rhombic dodecahedron obtained in step S12B-1, divide it into equal parts to obtain a flattened quadrangular pyramid of 1 / 12. The corresponding step is S12-1. Step S20S-1: Using the regular polyhedron obtained in step S20-1, divide it into equal parts to obtain a triangular pyramid of one-twentieth of its original size. Step S30S-1: Using the rhombic icosahedron obtained in step S30-1, divide it equally to obtain a flattened quadrangular pyramid of one-thirtieths. Step S12BS-2: Using the rhombic dodecahedron obtained in step S12B-2, divide it into quarters to obtain a triangular pyramid. The corresponding step is S12-2. Step S12BS-3: Using the rhombic dodecahedron obtained in step S12B-3, divide it into quarters to obtain a triangular pyramid. The corresponding step is S12-3. Step S6S-2: Using the regular polyhedron obtained in step S6-2, divide it into equal parts to obtain a square pyramid of one-sixths. The corresponding step is S6-2. Step S8S-2: Using the regular polyhedron obtained in step S8-2, divide it into equal parts to obtain a triangular pyramid of one-eighths. Step S30S-2: Using the regular polyhedron obtained in step S30-2, divide it into 1 / 30th flattened square pyramids. The corresponding step is S30-2. Step S30S-3: Using the regular polyhedron obtained in step S30-3, divide it into 1 / 30th flattened square pyramids. The corresponding step is S30-3. Step S12AS-2 involves dividing the regular polyhedron obtained in step S12A-2 into equal parts to form a pentagonal pyramid of 1 / 12th length. The corresponding step is S12A-2. Steps SSS1-2A include forming the angular combinations of digital static axes and / or digital dynamic axes of each angular group. Using the edges corresponding to the angles of the polyhedra and pyramid edges from step SSS1-1A, these edges are combined as reference parallel lines for the digital static axes and / or digital dynamic axes, forming the digital static axes of a single digital structure and / or the digital dynamic axes of a digital structure assembly. Various spatial translations are then performed on the corresponding digital static axes and / or digital dynamic axes to form specific target angular combinations and distances, leading to step SSS1-3A. Steps SSS1-3A include adding corresponding digital static connection structures and / or digital connection parts, and / or adding corresponding digital dynamic connection structures and / or digital units to generate digital structural units and / or digital structural assemblies. The generation method is to generate digital constructs and / or combinations of digital constructs with digital attributes using an electronic program, wherein the digital constructs and / or combinations of digital constructs are one or more digital constructs as described in claims 83 to 102.
104. A method for generating digital constructs and / or digital construct combinations, characterized in that, It includes three generation steps: step SSS1-1B, step SSS1-2B, and step SSS1-3B. Method two for the angle group of digital moving axes, the method two includes steps SSS1-1-3 and SSS1-1-4. Step SSS1-1B includes steps SSS1-1-3 and SSS1-1-4. Step SSS1-1-3 involves first generating triangular, square, or pentagonal pyramids that are equally divided by various polyhedra, along with the corresponding edges of the pyramids. Step SSS1-1-4 involves generating various regular polyhedra, along with the corresponding edges of the polyhedra. Step SSS1-1-3 includes first generating triangular, square, or pentagonal pyramids that are equally divided by various polyhedra, and the corresponding edges of the polyhedrons, including steps S4S-11 and / or S6S-11 and / or S8S-11 and / or S12AS-11 and / or S12BS-11 and / or S20S-11 and / or S30S-11. Step SSS1-1-4 includes using the results of step SSS1-1-3 to generate various regular polyhedra and the corresponding edges of the polyhedra. Step SSS1-1-4 includes steps S4-11 and / or S6-11 and / or S8-11 and / or S12A-11 and / or S12B-11 and / or S20-11 and / or S30-11. Step SSS1-1-4 also includes steps S4-12 and / or S6-12 and / or S8-12 and / or S12A-12 and / or S12B-12. 12B-13 and / or steps S20-12 and / or steps S30-12 and / or steps S30-13, wherein and / or steps S30-12 / 13 represent steps S30-12 and / or steps S30-13, wherein and / or steps S12B-12 / 13 represent steps S12B-12 and steps S12B-13, wherein steps S30-12 / 13 represent steps S30-12 and steps S30-13, In step S4S-11, which generates a triangular pyramid that is one-quarter the length of a regular tetrahedron, equilateral triangles are generated in the XOY plane. On the flipped surfaces passing through the sides of each triangle, lateral triangles are drawn with an inward flip angle of 35.2644° and a tangent value of 1 / The expression for the flip angle in radians is arctan(1 / The lateral triangle is an isosceles triangle with interior angles of 35.2644°, 35.2644°, and 109.4712°. Its tangent value is... 1 / The corresponding trigonometric radian angle expression is, arctan(1 / )rad,arctan(1 / )rad, arctan rad, The step S6S-11 of generating a regular square pyramid that is one-quarter of a regular hexahedron includes generating a regular square in the XOY plane, generating an equilateral triangle in the XOY plane, and drawing a lateral triangle on the flipped surface passing through the edges of each square. The inward flip angle is 45°, and the tangent value is 1. The expression for the flip angle in radians is arctan(1) rad. The lateral triangle is an isosceles triangle with three interior angles of 54.7356°, 54.7356°, and 70.5288°, and the tangent value is 1. In step S8S-11, which generates an octahedral triangular pyramid, an octahedral pyramid is formed. In S8S-11, an equilateral triangle is generated in the XOY plane. A lateral triangle is drawn on the flipped surface passing through the sides of each triangle, with an inward flip angle of 54.7356° and a tangent value of [value missing]. The expression for the flip angle in radians is arctan The lateral triangle is an isosceles triangle with three interior angles of 45°, 45°, and 90°. Its tangent is 1, 1, and ∞. The corresponding trigonometric radian expressions are: arctan(1)rad, arctan(1)rad, and 2*arctan(1)rad. The steps S12AS-11 for generating a regular pentagonal pyramid that is one-twelfth the length of a regular dodecahedron, and S12SA-11 for generating an equilateral triangle in the XOY plane, generating a regular pentagon in the XOY plane, and drawing lateral triangles on the flipped surfaces passing through the sides of each triangle, with an inward flip angle of 58.2825°, expressed in radians as 58.2825° (the tangent of 58.2825° is...). / 2, 58.2825°, i.e., arctan[ / 2]rad), the lateral triangle is an isosceles triangle with interior angles of 41.8103°, 41.8103° and 69.0948°, and a tangent of 2 / 2 / / 2, the corresponding trigonometric radian angle expression is, arctan(2 / )rad, arctan rad, arctan[ / 2]rad, In step S20S-11 of generating a regular triangular pyramid that is one-twentieth of a regular icosahedron, S20S-11 generates a regular pentagon in the XOY plane, generates an equilateral triangle in the XOY plane, and draws a lateral triangle on the flipped surface passing through the sides of each triangle. The inward flip angle is 69.0948°, and the tangent value is... / 2, the expression for the flip angle in radians is arctan( / 2) rad, lateral triangle, isosceles triangle, three interior angles are 58.2825°, 58.2825°, 63.4349°, tangent value is, / 2, / 2, The corresponding trigonometric radian angle expression is, arctan( / 2)rad, arctan( / 2)rad, arctan rad, Step S12BS-11, which generates a flattened quadrangular pyramid that is one-twelfth the length of a rhombic dodecahedron, generates a rhombic quadrilateral on the XOY plane. The four interior angles of the rhombic quadrilateral are arctan(θ, φ, φ). rad, arctan rad, arctan rad, arctan rad, then draw a drawing plane through the edges of each rhombus. This drawing plane forms a 60° inward angle with the XOY plane. Draw a triangle within the corresponding four drawing planes. The three interior angles of the drawn triangle are, in order: vertex angle 54.7356°, far-bottom interior angle 54.7356°, and near-bottom interior angle 70.5288°. The corresponding radian angles of the triangles are expressed as arctan(π / 4). rad, arctan rad, arctan rad, In step S30S-11, which generates a flattened quadrangular pyramid that is one-thirtieth of the icosahedron, a rhombic quadrilateral is formed on the XOY plane. The four interior angles of the rhombic quadrilateral are arctan(θ, φ, φ). rad, arctan rad, arctan rad, arctan rad. Then, draw a drawing plane through the edges of each rhombus. This drawing plane forms an inward angle of 72° with the XOY plane. Draw a triangle in each of the four corresponding drawing planes. The three interior angles of the drawn triangle are 37.3774°, 63.4349°, and 79.1877°, respectively. The vertex angle is 37.3774°, the far interior angle of the bottom is 63.4349°, and the near interior angle of the bottom is 79.1877°. The tangent of the interior angle 37.3774° is... / 2, the tangent of the interior angle 79.1877° is The radian angle corresponding to the triangle is expressed as arctan. rad, arctan rad, arctan[ / 2] rad. The complementary angle of 37.3774° is 52.6226°, and 52.6226° is arctan[ / 2]rad, Step S4-11: Using the pyramidal polyhedron obtained in step S4S-1, two and / or three and / or more pyramidal polyhedra, with faces touching and / or faces touching while maintaining a fixed distance between faces, can yield a quasi-regular polyhedron as a whole, and the angular combination of various edge groups with related included angles between their edges. Step S6-11: Using the pyramidal polyhedron obtained in step S6S-1, two and / or three and / or more pyramidal polyhedra, with faces touching and / or faces touching while maintaining a fixed distance between faces, can obtain a quasi-regular polyhedron as a whole, and the angle combination of the line groups of various edges with related included angles. Step S8-11: Using the pyramidal polyhedron obtained in step S8S-1, two and / or three and / or more pyramidal polyhedra, with faces touching and / or faces touching while maintaining a fixed distance between faces, can obtain a quasi-regular polyhedron as a whole, and the angle combination of the line groups of various edges with related included angles. Step S12A-11: Using the pyramidal polyhedron obtained in the previous step S12AS-1, two, three, or four pyramidal polyhedra, with faces touching and / or faces touching while maintaining a fixed distance between faces, can be obtained as a whole of a quasi-regular polyhedron, as well as the angular combination of line groups of various edges with related included angles. Step S12B-11: Using the pyramidal polyhedron obtained in step S12BS-1, two, three, or four pyramidal polyhedra, with faces touching and / or faces touching while maintaining a fixed distance between faces, can be obtained as a whole of a quasi-regular polyhedron, as well as the angular combination of line groups of edges with relevant included angles between them. Step S20-11: Using the pyramidal polyhedron obtained in step S20S-1, two, three, or four pyramidal polyhedra, with faces touching and / or faces touching while maintaining a fixed distance between faces, can be obtained as a whole of a quasi-regular polyhedron, as well as the angle combination of the line groups of various edges with related included angles. Step S30-11: Using the pyramidal polyhedron obtained in step S30S-1, two, three, or four pyramidal polyhedra, with faces touching and / or faces touching while maintaining a fixed distance between faces, can be obtained as a whole of a quasi-regular polyhedron, as well as the angle combination of the line groups of various edges with related included angles. Step S4-12: Using the quasi-regular polyhedron obtained in step S6-11, and the angle combination of the line groups of edges with related included angles, it is transformed into a quasi-hexahedron pattern. Step S6-12: Using the quasi-regular polyhedron obtained in step S12B-11, and the angle combination of the line groups of edges with related included angles, it is transformed into a quasi-hexahedron pattern. Step S8-12: Using the quasi-regular polyhedron obtained in step S12B-11, and the angle combination of the line groups of edges with related included angles, it is transformed into a quasi-octahedron pattern. Step S12B-12: Using the quasi-regular polyhedron obtained in step S6-11, and the angle combination of the line groups of edges with related included angles, it is transformed into a quasi-dodecahedron pattern. Step S12B-13: Using the quasi-regular polyhedron obtained in step S8-11, and the angle combination of the line groups of edges with related included angles, it is transformed into a quasi-dodecahedron pattern. Step S12A-13: Using the quasi-regular polyhedron obtained in steps S30-11, and the angle combination of the line groups of edges with related included angles, it is transformed into a quasi-dodecahedron pattern. Step S20-12: Using the quasi-regular polyhedron obtained in step S30-11, and the angle combination of the line groups of edges with related included angles, it is transformed into a quasi-icosahedron pattern. Step S30-12: Using the quasi-regular polyhedron obtained in step S12A-11, and the angle combination of the line groups of edges with related included angles, it is transformed into a quasi-icosahedron pattern. Step S30-13: Using the quasi-regular polyhedron obtained in step S20-11, and the angle combination of the line groups of edges with relevant included angles, it is transformed into a quasi-icosahedron pattern. Steps SSS1-2B include forming the angular combinations of digital static axes and / or digital dynamic axes of each angular group. Using the edges corresponding to the angles of the edges of each polyhedron and pyramid in steps SSS1-2B, combinations are made as reference parallel lines for the digital static axes and / or digital dynamic axes, forming the digital static axes of a single digital structure and / or the digital dynamic axes of a digital structure assembly. Various spatial translations are performed on the corresponding digital static axes and / or digital dynamic axes to form specific target angular combinations and distances, leading to step SSS1-3C. Steps SSS1-3C include adding corresponding digital static connection structures and / or digital connection parts, and / or adding corresponding digital dynamic connection structures and / or digital units to generate digital structural units and / or digital structural assemblies. The generation method is to generate digital constructs and / or combinations of digital constructs with digital attributes using an electronic program, wherein the digital constructs and / or combinations of digital constructs are one or more digital constructs as described in claims 83 to 102.
105. A method for generating digital constructs and / or digital construct combinations, characterized in that, It includes three generation steps: step SSS1-1C, step SSS1-2C, and step SSS1-3C. Step SSS1-1C includes a third method for generating the angle groups of digital static axes and digital dynamic axes for the combined angles of digital constructs and digital construct assemblies. This third method includes steps SSS1-1-5 and SSS1-1-6. Step SSS1-1C includes steps SSS1-1-5 and SSS1-1-6. Step SSS1-1-5 involves first generating a regular hexahedron (like a polyhedron), then generating several other polyhedra (like a tetrahedron, including a rhombic dodecahedron, a regular dodecahedron, and several other types), and generating a rhombic icosahedron, along with the corresponding edges of the polyhedrons. Step SSS1-1-6 involves generating triangular, square, or pentagonal pyramids that are equally divided by various polyhedra, along with the corresponding edges of the pyramids. Step SSS1-1-5 includes first generating a quasi-cubic hexahedron, then generating quasi-tetrahedrons, quasi-dodecahedrons, quasi-rhombohedrons, and quasi-icosahedrons based on the generated quasi-icosahedrons and / or quasi-dodecahedrons, and generating quasi-rhombohedrons based on the generated quasi-rhombohedrons and / or quasi-dodecahedrons, and generating quasi-octahedrons based on the generated quasi-rhombohedrons and / or quasi-dodecahedrons. Step SSS1-1-5 includes steps S6-K1 and / or S4-K1 and / or S8-K1 and / or S12B-K1 and / or S12A-K1 and / or S20-K1 and / or S30-K2 and / or S30-K3. In the figure, S30-K2 / 3 refers to steps S30-K2 and S30-K3. Step SSS1-1-5 includes the following sub-steps: Step SSS1-1-6 includes generating, based on the polyhedron generated in SSS1-1-5, an evenly divided triangular pyramid, square pyramid, or pentagonal pyramid, and the corresponding edges of the pyramid. This includes steps S6-SK1 and / or S4S-K1 and / or S8S-K1 and / or S12BS-K1 and / or S12AS-K1 and / or S20S-K1 and / or S30S-K2, and / or S30S-K3. In the figure, S30S-K2 / 3 refers to...
