A method for visual design on a regular wrinkled carrier

Abstract

The present invention discloses a method for visual design on a regular wrinkled carrier. The regular wrinkled carrier includes all three-dimensional carriers with regular wrinkles, and its regular wrinkle unit consists of three parts: a convex mountain crease, a concave valley crease, and an un-folded crease unit surface in the middle. Based on the size and density corresponding to the regular wrinkle unit, the regular wrinkled carrier includes: Yoshimura wrinkles, Z-type wrinkles, and Miura wrinkles, and visual design is carried out on various regular wrinkled carriers based on different categories of geometric form languages, including visual rules and translation rules. The present invention proposes a set of visual transfer paths and design methods of geometric form languages on regular wrinkled carriers, solving the visual translation dilemma of geometric form languages that focus on information transmission on regular wrinkled carriers.

Description

Technical Field

[0001] The present invention relates to the technical field of wrinkled carriers, and particularly to a method for visual design on a regular wrinkled carrier. Background Art

[0002] With the update of technology and design requirements, "plane three-dimensionalization" has become one of the design trends. The geometric form language has evolved into the art field following this trend for a long time, and is widely applied in plane posters, packaging design, installation art, etc. Among them, the geometric origami structure, which is also inspired by the geometric concept, precisely provides an idea for broadening the carrier dimension for the geometric form language to follow the "plane three-dimensionalization" trend.

[0003] "Regular wrinkles" is a more generalized definition of "geometric origami", including all three-dimensional carriers with regular wrinkles such as origami. They have advantages such as good mechanical properties, simple geometric structures, and high strength. Based on the structural and mechanical properties of these structures themselves, they have been innovatively applied in fields such as building structures, medical equipment, aerospace, robotics, and bioengineering. The above regular wrinkled structures also have the formal beauty characteristics of geometry, order, and regularity. A large number of cases show that designing geometric color blocks or abstract geometric patterns on regular wrinkled carriers can enrich the aesthetic expression of visual content when the visual carrier is broadened, providing a case basis for exploring the design path of geometric form language on such innovative carriers.

[0004] However, when designers attempt to visually present geometric form language on regular wrinkled carriers, it is mostly based on perceptual, random, and accidental visual representations and aesthetic feelings. Due to the lack of understanding and research on the visual translation principles and rules of geometric form language on regular wrinkled carriers, problems such as pattern deformation and inaccurate pattern information transmission will occur in the actual design process. Therefore, it is necessary to explore a set of rational and systematic methods and procedures for designing geometric form language on regular wrinkled carriers that can be combined with designers' perceptual aesthetic experiences. Summary of the Invention

[0005] (1) Technical Problems to be Solved

[0006] Aiming at the deficiencies of the prior art, the present invention proposes a set of visual transfer paths and design methods for geometric form language on regular wrinkled carriers, solving the visual translation dilemma of geometric form language that focuses on information transmission on regular wrinkled carriers.

[0007] (2) Technical Solutions

[0008] In recent years, in the field of visual communication in the era of "plane three-dimensionalization", the trend of the two-way expansion of visual content and visual carriers has become increasingly prominent. Geometric forms have attracted much attention due to their strong sense of spatial order. The combination of the geometric form language and the regular wrinkle carrier born under the influence of geometric forms provides an opportunity for designers to further break through the spatial limitations of visual communication. However, traditional design methods make the geometric form language unable to adapt to the concave-convex structure of the wrinkle carrier and deform, affecting the effective transmission of visual information.

[0009] To achieve the above object, the present invention provides the following technical solutions: A method for visual design on a regular wrinkle carrier, where the regular wrinkle carrier includes all three-dimensional carriers with regular wrinkles, and its regular wrinkle unit consists of three parts: a convex mountain crease, a concave valley crease, and an un-folded wrinkle unit surface in the middle;

[0010] Based on the corresponding size and density of the regular wrinkle unit, the regular wrinkle carrier includes:

[0011] The Yoshimura wrinkle, the unit is mainly in the shape of a polygon block, presenting a scattered, stretched, shallow concave-convex wrinkle form;

[0012] The Z-shaped wrinkle, the unit is a slender rectangle, presenting an overall repeated and dense wrinkle form;

[0013] The Miura wrinkle, the unit is a parallelogram, the density of the unit presents a comfortable regularity, and there is enough sense of space between the units;

[0014] Based on how different types of geometric form languages are used for visual design on various regular wrinkle carriers, including visual rules and translation rules, and carried out in the following ways:

[0015] A1. Based on the visual translation of dot matrix and line geometry in the geometric form language on the crease, according to the crease characteristics, the combination rule 1 of "shape";

[0016] A2. Based on the visual translation of block geometry in the geometric form language on the wrinkle unit surface, according to the arrangement characteristics of the wrinkle unit surface, the combination rule 2 of "shape";

[0017] A3. Based on the inorganic geometric figures in the geometric form language, use mathematical induction to explore the internal order, deformation law, and visual translation path of square geometry, triangular geometry, and circular geometry on the Miura regular wrinkle carrier;

[0018] A4. Based on the exploration of the visual translation and derivation of organic geometric patterns in the geometric form language on the wrinkle unit surface, and obtain the translation rules 3, 4, and 5 of organic geometric patterns on the regular wrinkle carrier.

[0019] As a preferred solution, the rule 1 in A1 includes:

[0020] Mathematical combinations: "repetition", "symmetry";

[0021] Breaking-law combinations: "dislocation", "framework";

[0022] Dynamic combinations: "gradual change", "diffusion", "emission", "scintillation".

[0023] As a preferred solution, Rule 2 in the A2 includes:

[0024] Geometric pixelation;

[0025] Mathematical combinations: "repetition", "symmetry";

[0026] Breaking-law combinations: "dislocation", "framework";

[0027] Dynamic combinations: "gradual change", "diffusion", "emission", "scintillation";

[0028] Among them, "geometric pixelation" means pixelating a complete picture into geometric shapes by using the methods of "filter" and "equalization" in Photoshop, and then translating these pixel geometric color blocks with color information onto the carrier unit.

[0029] As a preferred solution, the A3 includes the exploration of the internal order of inorganic geometric figures and Miura folds. Taking the Miura structure and a horizontal line geometry as an example, experiments are carried out and data are recorded.

[0030] As a preferred solution, the A3 also includes the exploration of the initial figure and the plane deformation figure. It is proved through experiments that the plane deformation figure of the square geometry is composed of the plane deformation figures of the horizontal line geometry and the vertical line geometry together.

[0031] As a preferred solution, Rule 3 in the A4 is that each wrinkled unit surface on the regular wrinkled carrier can be regarded as a splicing grid, called "wrinkled splicing grid", and multiple wrinkled unit surfaces can also be regarded as a splicing grid, depending on the requirements of the final visual effect.

[0032] As a preferred solution, Rule 4 in the A4 includes:

[0033] Rotational symmetry means repeating by rotating around a certain fixed point. This fixed point can be inside the element or outside the element, and multiple symmetries can also be carried out;

[0034] Translation symmetry means the result of a figure (which can be an element, a pattern, a derivative pattern) moving a specific distance in a specific direction. The element itself can rotate and the translation distance can vary;

[0035] Mirror symmetry means that one half of a figure (which can be an element, a pattern, a derivative pattern) is a mirror copy of the other half, where the elements can rotate on their own and the spacing from the axis of symmetry can vary;

[0036] Glide mirror symmetry refers to a combined form of two symmetries. First, there is translational symmetry, and then mirror symmetry continues along that direction. The ratio of the spacing between the two symmetry behaviors where the elements can rotate on their own can vary.

[0037] As a preferred solution, Rule 5 in A4 includes:

[0038] Linear symmetry refers to the way of symmetry along a straight line;

[0039] Plane symmetry refers to symmetry on a plane in two directions, ultimately enabling the pattern to cover the entire surface. This symmetry rule involves the size of the splicing grid, so the size and shape of the splicing grid (i.e., the size and shape of the crease unit of the regular crease carrier) can vary, and the two translational directions that make up the plane can vary;

[0040] Seamless repetition refers to those repeating patterns that do not seem to have a specific start and end. Seamless repetition specifically refers to the activity of translating half of the figure horizontally to the other side, then translating half of the figure vertically to the other side, and subsequently performing plane symmetry to generate the pattern.

[0041] As a preferred solution, the visual translation path of organic geometric form language on a regular crease carrier is as follows: First, deconstruct the organic form language into organic geometric elements; then, the organic geometric elements generate organic geometric patterns; then, the organic geometric patterns generate organic geometric repeating patterns; finally, translate them to the crease splicing grid according to the arrangement rule of the crease units.

[0042] As a preferred solution, the visual translation of inorganic geometric form language on a regular crease carrier is divided into two parts. The first part is the visual translation rules of inorganic point, line, and plane geometry on a regular crease carrier; the second part is the visual translation path of inorganic geometric figures on the third type of regular crease carrier typified by the Miura crease.

[0043] (III) Beneficial effects

[0044] Compared with the prior art, the present invention provides a method for visual design on a regular crease carrier, having the following beneficial effects: The regular crease carrier described in the present invention includes all three-dimensional carriers with regular creases, and based on how different types of geometric form languages perform visual design on various regular crease carriers, including visual rules and translation rules, a set of visual transfer paths and design methods of geometric form languages on regular crease carriers are proposed, solving the visual translation dilemma of geometric form languages that focus on information transmission on regular crease carriers. Description of the Drawings

[0045] Figure 1 This is a schematic diagram of the visual rules and corresponding translation paths of different geometric form languages of the present invention on a regular wrinkled carrier;

[0046] Figure 2 This is a schematic diagram of the visual rules and translation paths of the inorganic geometric figures of the present invention on a regular wrinkled carrier;

[0047] Figure 3 This is a schematic diagram of the visual translation process of the organic geometric form language of the present invention on a regular wrinkled carrier;

[0048] Figure 4 This is a schematic diagram of the creases and unit surfaces of three types of typical carriers of the present invention;

[0049] Figure 5 This is a schematic diagram of the visual translation rules of the geometric correspondence of the lines on the creases of the present invention;

[0050] Figure 6 This is a schematic diagram of the visual translation rules of the geometric correspondence of the blocks on the creases of three types of regular wrinkled carriers of the present invention;

[0051] Figure 7 This is a schematic diagram of the basic generation process of the organic geometric repeated pattern of the present invention;

[0052] Figure 8 This is a schematic diagram of the cell grid, splicing grid and the splicing grid of the creases of three types of carriers of the present invention;

[0053] Figure 9 This is a schematic diagram of four symmetries of the generation of an organic geometric pattern from organic geometric elements according to Rule 2 of the present invention;

[0054] Figure 10 This is a schematic diagram of three symmetries of the generation of an organic geometric repeated pattern from an organic geometric pattern according to Rule 3 of the present invention. Detailed Description of the Invention

[0055] In order to better understand the purpose, structure and function of the present invention, the present invention will simultaneously start from the perspectives of information transmission and visual aesthetics, and with the help of the spatial relationship research mechanism and formal aesthetics of mathematical geometry, further improve the visual translation of geometric form language on the surface of regular wrinkles, obtain a systematic visual translation path with both sensibility and rationality, and then gradually deepen and improve the research of the present invention in an interdisciplinary way.

[0056] Example 1

[0057] Reference Figure 1-10The present invention provides a method for visual design on a regular folded carrier, wherein the regular folded carrier includes all three-dimensional carriers with regular folds, wherein the regular folded unit is composed of three parts: an upward convex mountain fold, a downward concave valley fold and an unfolded middle folded unit surface;

[0058] Based on the size and density of the regular folding units, the regular folding carriers include:

[0059] Yoshimura fold, the units are mainly polygonal blocks, showing a scattered, stretched, shallow concave-convex fold morphology;

[0060] Z-shaped folds, the units are elongated rectangles, and the whole presents a repeated and dense fold shape;

[0061] Miura folds, the units are parallelograms, the density of the units presents a comfortable regularity, and there is enough space between the units.

[0062] Specifically, the regular fold carrier in the present invention refers to all three-dimensional carriers with regular folds. A complete regular fold unit consists of three parts: a convex mountain fold, a concave valley fold, and an unfolded fold unit surface in the middle.

[0063] The first type of regular wrinkle carrier is the "Yoshimura fold", with the units mainly in polygonal blocks, showing a dispersed, stretched, and shallowly concave and convex wrinkle shape;

[0064] The second type of regular wrinkle carrier is the "Z-shaped wrinkle", the unit is a slender rectangle, and the whole presents a repeated and dense wrinkle shape;

[0065] The third type of regular fold carrier is the "Miura fold", whose units are parallelograms, the density of the units presents a comfortable regularity, and there is enough space between the units.

[0066] In the present invention, Yoshimura pleats are a type one carrier, and Z-folds and Miura pleats are type two and type three carriers, respectively.

[0067] like Figure 4 As shown in the figure, the reason why the "regular wrinkle carrier" can have regularity and order is due to the regular arrangement of its "wrinkle creases", which plays a decisive role in the final form of the carrier. Specifically, "wrinkle creases" are divided into "mountain creases" and "valley creases". As the name suggests, the "mountain creases" are convex upwards, and the "valley creases" are concave downwards. The unfolded area in the middle becomes the unit surface of the final "regular wrinkle carrier" structure, so a complete "regular wrinkle" unit is always composed of these three parts, namely, the wrinkle crease parts including the convex folding area and the concave folding area, and the unfolded wrinkle unit surface.

[0068] More specifically, according to the size and density of the "wrinkle units" and taking the most commonly used origami carriers in each category as a typical example, the structures commonly adopted in the regular wrinkle carriers of the present invention are divided into three categories. The first category is the "Yoshimura wrinkle", where the units are mainly polygonal blocks, presenting a dispersed, stretched, and shallow concave-convex wrinkle pattern; the second category is the "Z-shaped wrinkle", where the units are slender rectangles, presenting a repetitive and dense wrinkle pattern as a whole; the third category is the "Miura wrinkle", where the units are parallelograms, the density of the units presents a comfortable pattern, and there is enough sense of space between the units. Based on the above classification, the visual imaging principles of the wrinkle creases on the surfaces of these three types of wrinkle structures are studied, as shown in Table 1 below;

[0069]

[0070] Table 1

[0071] Furthermore, starting from the perspectives of information transmission and visual aesthetics simultaneously, the present invention uses the spatial relationship research mechanism and formal aesthetics of mathematical geometry to further improve the visual translation of geometric form language on the regular wrinkle surface, obtaining a systematic visual translation path with both sensibility and rationality, and then gradually deepening and improving the research of the present invention in an interdisciplinary manner.

[0072] Example 2

[0073] Reference Figure 1-3 , specifically, a method for visual design on a regular wrinkle carrier of the present invention includes the following methods:

[0074] A1. Visual translation of dot matrix and line geometry on the creases, according to the combination rule 1 of "shape" based on the crease characteristics;

[0075] A2. Visual translation of block geometry on the wrinkle unit surface, according to the combination rule 2 of "shape" based on the arrangement characteristics of the wrinkle unit surface;

[0076] A3. Based on the inorganic geometric figures in the geometric form language, use mathematical induction to explore the internal order, deformation rules, and visual translation paths of square geometry, triangular geometry, and circular geometry on the Miura regular wrinkle carrier;

[0077] A4. Explore the visual translation and derivation of organic geometric patterns on the wrinkle unit surface, and obtain the translation rules 3, 4, and 5 of organic geometric patterns on the regular wrinkle carrier.

[0078] The present invention aims to propose a set of visual transfer paths and design methods for geometric morphological languages on regular wrinkled carriers, which solves the dilemma of visual translation of geometric morphological languages that focus on information transmission on regular wrinkled carriers. The visual translation of the geometric morphological languages of the present invention on regular wrinkled surfaces will be further explained below in combination with specific embodiments.

[0079] Example 3

[0080] Inorganic point, line and surface geometry on regular wrinkle carrier

[0081] Among them, the visual translation of dot matrix and line geometry on the crease is the "crease" of the regular fold carrier, which is mainly divided into two parts, the upper convex folding area and the lower concave folding area, and the arrangement has a sense of order, and it is a collection of "lines" and "dots", so the design method for designing the geometric arrangement of "dots" and "lines" on the two fold areas is the same. "Dot matrix geometry" and "line geometry" in the geometric morphological language are undoubtedly two types of "shapes". There are many visual rules for this type of "shape" on the plane carrier mentioned above, but when they are arranged on the regular fold crease, they must be combined according to the fold characteristics. The present invention summarizes them into Rule 1, that is, Rule 1 in A1, which includes:

[0082] Mathematical combination: "repetition" and "symmetry";

[0083] Breaking rules combination: "dislocation" and "frame";

[0084] Dynamic combination: "gradient", "diffusion", "emission", "flash";

[0085] Among them, "mathematical combination" refers to the combination of "shapes" that combine the distribution rules of folds to express a sense of regular order, and is a means of emphasizing the rhythm of geometric morphological language; "repetition" refers to the repetition of a single geometric figure or form; "symmetry" refers to the symmetry of a single geometric figure or form;

[0086] "Breaking the rules" refers to the combination of "shapes" that break the sense of conventional order by combining the distribution rules of creases. It changes the rhythm of the geometric language without affecting the continuity of the rhythm. "Dislocation" refers to a single geometric figure or form that is displaced from its original position, but still makes people feel the continuity of the extension. "Frame" refers to a single geometric figure or form distributed in an outline state, so as to feel the beauty of the interlacing of the main figure and the negative shape.

[0087] "Dynamic combination" refers to a combination method of "shapes" that, while breaking the sense of order by combining the rules of crease distribution, further embodies dynamic rhythms; "gradation" refers to the gradual change of multiple elements such as density, size, and gaps in a single geometric shape or form; "diffusion" refers to a single geometric shape or form that has a certain range limit and spreads out hierarchically and evenly; "emission" refers to a single geometric shape or form distributed along an emission trajectory or presented within a radiation range; "flicker" refers to a visual sense of motion presented by a single shape or form at regular rhythms during emission;

[0088] As Figure 5 shown, it is a schematic diagram of the visual translation rule of the geometric correspondence of the lines on the wrinkled crease. The present invention organizes them and takes the mountain creases of several groups of units as examples to conduct visual design in combination with color changes. In addition to single design methods, they can also be superimposed and used as needed, enabling the geometric form language to create rich and diverse visual effects on the creases of the regular wrinkled carrier. However, simply conducting visual design on the creases is far from meeting people's aesthetic psychology and market demands. Therefore, it is a more important task to conduct visual design of more types of geometric form languages on the "wrinkled unit surface" in the non-folded area.

[0089] Example 4

[0090] Visual translation of "block geometry" on the wrinkled unit surface

[0091] When designing geometric form language on the "wrinkled unit surface", in addition to specific organic geometric repeating patterns, the most basic is the visual translation of "block geometry" on the unit surface. There are many visual rules summarized by the present invention for designing "block geometry" on a planar carrier. However, when they are arranged on the regular wrinkled creases, the "shape" combination rules need to be based on the arrangement characteristics of the wrinkled unit surface and are different from those on the basis of "dot matrix and line geometry". The present invention summarizes them as Rule 2, that is, Rule 2 in A2, which includes:

[0092] Geometric pixelation;

[0093] Mathematical combination: "repetition" and "symmetry";

[0094] Breaking-law combination: "dislocation" and "framework";

[0095] Dynamic combination: "gradation", "diffusion", "emission", "flicker";

[0096] Among them, "geometric pixelation" refers to pixelating a complete picture into geometric shapes using the methods of "filter" and "equalization" in Photoshop, and then translating these pixel geometric color patches with color information onto the carrier unit. Among them, "mathematical combination", "rule-breaking combination" and "dynamic combination" are the combination rules of the three types of "shapes" in Rule 1 above.

[0097] The present invention organizes them and takes the wrinkled unit surfaces of several groups of units as an example to carry out visual design in combination with color changes. The effect is as Figure 6 shown, which is a schematic diagram of the visual translation rule of the geometric correspondence of the upper surface on the creases of three types of regular wrinkled carriers.

[0098] Example 5

[0099] Generation of organic geometric patterns and combination with wrinkled unit surfaces

[0100] The definition of the organic geometric form language is relative to the inorganic geometric form language. Therefore, the organic geometry studied in this embodiment is the geometric form language other than inorganic geometry, and is more preferably called "organic geometric pattern". Usually, the pattern we usually refer to actually often means the repeat pattern. In this embodiment, the broad organic geometric form language will be uniformly replaced by "organic geometric repeat pattern".

[0101] Therefore, the present invention defines that "organic geometric element" is the smallest constituent atom of the organic geometric repeat pattern, "organic geometric pattern" is composed of two or more organic geometric elements, and "organic geometric derivative pattern", that is, "organic geometric repeat pattern", is generated by two or more organic geometric patterns through any one or more repetitive symmetry rules, as Figure 7 shown.

[0102] Regarding how the organic geometric repeat pattern is distributed on the regular wrinkled carrier, this embodiment also draws on the concepts of "cell grid" and "patchwork grid" of Paul Jackson. The two are very similar, sometimes even identical, and have the same function. They are all polygons that can make the patterns join each other and cover the plane. Without them, there would be no repeat pattern. However, the difference is that the boundary of the "cell grid" is defined by the designed elements, patterns or derivative patterns; while the boundary of the "patchwork grid" already exists before the elements, patterns or derivative patterns are designed. Therefore, the "crease" and "wrinkled unit surface" of the regular wrinkled carrier can be considered equivalent to the "patchwork grid" of the regular wrinkled carrier. Therefore, this embodiment converts the wrinkled unit surfaces of the three types of regular wrinkled carriers into "wrinkled patchwork grids". The first type is the dispersed and stretched wrinkled patchwork grid, the second type is the fine and continuous wrinkled patchwork grid, and the third type is the regular and orderly wrinkled patchwork grid, as Figure 8 shown.

[0103] In summary, the following translation rule 3 of the organic geometric pattern on the regular wrinkled carrier is obtained in this embodiment:

[0104] Each wrinkled unit surface on the regular wrinkled carrier can be regarded as a splicing grid, called a "wrinkled splicing grid", and multiple wrinkled unit surfaces can also be used as a splicing grid, depending on the requirements of the final visual effect.

[0105] Example 6

[0106] Visual translation and derivation of the organic geometric pattern on the wrinkled unit surface

[0107] Furthermore, in this embodiment, the visual translation rules of the organic geometric repeating pattern (i.e., the organic geometric form language) on the regular wrinkled carrier will be discussed in detail. During the process, the leaf form is selected as the organic geometric element to demonstrate the final generated effect.

[0108] According to symmetry in spatial dimensions, it can be divided into "zero-dimensional", i.e., symmetric with a single point; "one-dimensional", i.e., symmetric with a line segment; "two-dimensional", i.e., symmetric in two line segment directions to form a two-dimensional plane; "three-dimensional", i.e., symmetric in three line segment directions to form a three-dimensional space. The derivation rules involved in the generation of the organic geometric repeating pattern are essentially symmetry rules. Among them, the four basic symmetries used for the organic geometric element to generate the organic geometric pattern are rotational symmetry, translational symmetry, mirror symmetry, and glide reflection symmetry, as Figure 9 shown. It can be summarized as translation rule 4.

[0109] (1) Rotational symmetry means repeating by rotating around a fixed point. This fixed point can be inside or outside the element, and multiple symmetries can also be performed;

[0110] (2) Translational symmetry means the result of a figure (which can be an element, a pattern, a derived pattern) moving a specific distance in a specific direction. The element itself can rotate and the translation distance can vary;

[0111] (3) Mirror symmetry means that half of a figure (which can be an element, a pattern, a derived pattern) is mirror-copied and repeated with the other half. The element itself can rotate and the distance from the axis of symmetry can vary;

[0112] (4) Glide reflection symmetry means a combined form of two symmetries. First, translational symmetry is performed, and then mirror symmetry is continued along this direction. The element itself can rotate and the distance ratio between the two symmetry behaviors can vary.

[0113] It can be seen that when implementing the above symmetry rules, there are many variable factors, and the rule of self-symmetry change of elements is superimposed. Therefore, to control this variable and facilitate the derivation of the next organic geometric repeating pattern, the element is defined to be vertically placed here. If the element rotates by itself, the subsequent derivation rules can be similarly proven.

[0114] When an organic geometric pattern generates an organic geometric repeating pattern, the three rules of linear symmetry, plane symmetry, and seamless repeating pattern are adopted, as Figure 10 shown. It can be summarized as translation rule 5:

[0115] (1) Linear symmetry refers to the way of symmetry along a straight line;

[0116] (2) Plane symmetry refers to the symmetry on the plane in two directions, which finally enables the pattern to cover the entire surface. This symmetry rule involves the size of the splicing grid, so the size and shape of the splicing grid (i.e., the size and shape of the crease unit of the regular wrinkled carrier) can be changed, and the two translation directions forming the plane can be changed;

[0117] (3) Seamless repetition refers to those repeating patterns that seem to have no specific start and end. Specifically, seamless repetition means translating half of the graphic in the horizontal direction to the other side, then translating half of the vertical direction to the other side, and then performing plane symmetry to generate the pattern.

[0118] Furthermore, this embodiment summarizes the systematic visual generation rules of organic geometric patterns, that is, the visual translation path of organic geometric form language on the regular wrinkled carrier is: First, deconstruct the organic form language into organic geometric elements; then, the organic geometric elements generate organic geometric patterns; then, the organic geometric patterns generate organic geometric repeating patterns; finally, translate them according to the arrangement rule of the crease units to the crease splicing grid. And because the organic geometric repeating pattern is mainly based on visual aesthetics, the undulation of the carrier will not affect the presentation of its visual effect, but instead will create a light and shadow effect due to the sense of space.

[0119] Example 7

[0120] The internal order of inorganic geometric figures and Miura folds

[0121] Since both inorganic geometric figures and Miura folds are orderly, regular, and rational, in order to explore their internal order, the present invention proposes assumption 1: There must be a definite logical and mathematical relationship between the folding degree of the Miura fold and the deformation degree of the inorganic geometric figure.

[0122] To verify Conjecture 1, the present invention includes an exploration of the internal order of inorganic geometric figures and Miura folds in A3, and takes the Miura structure and a horizontal line geometry as an example to conduct experiments and record data. The process of Experiment 1 is as follows:

[0123] B1. Define the respective included angles related to the Miura fold unit and the line geometry l. The Miura fold unit is composed of four parallelograms with equal side lengths and interior angles of 60° and 120° respectively. In this process, with the help of shaper3D software, a model with half of the Miura structural unit is established;

[0124] B2. Perform the operation of cutting a solid with a plane. Draw a line segment l on the XY plane, and pull it down in the Z-axis direction to cut the model, hollowing out the pattern of the line geometry l. When this half of the Miura unit is flattened, it is found that the position of the line segment l is offset;

[0125] B3. Mirror-symmetry the model with the vertical direction as the axis of symmetry to obtain a complete Miura fold unit, and observe the deformed line geometry l on the surface at this time;

[0126] B4. It is found that the deformation occurs at the intersection of the unit crease and the line geometry l, showing a concave inward in the middle, forming an included angle, which is defined as the graphic deformation included angle In addition, when the Miura fold unit is folded at any angle, the included angle formed by the two unit planes below the structure on the same plane is defined as the folding forming angle α (linear angle, not dihedral angle);

[0127] B5. After clarifying the parameters, angles and experimental process, use the control variable method to control the length, position of the line geometry l and the recording perspective unchanged, change the folding forming angle, and take the special moment of α = 90° as an example, increase or decrease the angle at intervals of 5°, carry out experimental measurements and record the folding forming angle α and the corresponding graphic deformation included angle for each time The data records are shown in Table 2 below;

[0128]

[0129] Table 2

[0130] B6. Through the observation and analysis of the data, it is found that there is indeed a functional relationship between the two, and there is an optimal range, which is linearly correlated when the folding forming angle α is between 80° and 110°.

[0131] It is experimentally proved that the plane deformation diagram of the square geometry is jointly composed of the plane deformation diagrams of the horizontal line geometry and the vertical line geometry. The process of Experiment 2 is as follows:

[0132] C1. Starting from two parallel horizontal lines side by side, draw the plane deformation diagram of the line geometry. Using the control variable method, control the shape, position and recording perspective unchanged, change the folding forming angle α, and find that there is a certain specific angle presenting the initial figure of the horizontal line geometry;

[0133] C2. Draw two parallel vertical lines side by side. Still keep the shape, position and recording perspective unchanged, and change the folding forming angle α. It is found that it remains perpendicular throughout the process and no deformation occurs.

[0134] C3. Based on the deformation of the horizontal and vertical line geometries, draw the plane deformation diagram of the square geometry. Similarly, keep the shape, position and recording perspective unchanged, change the folding forming angle α, and continuously fold to find that there is a specific angle presenting the initial figure of the square geometry.

[0135] Based on the results obtained from the above embodiments, as Figure 1 shown, it is to explore how different types of geometric form languages are visually designed on various regular wrinkled carriers, and a set of visual translation paths are summarized. Figure 1 It is a schematic diagram of the visual rules and corresponding translation paths of different geometric form languages on regular wrinkled carriers.

[0136] The visual translation process of its inorganic geometric form language on regular wrinkled carriers is as follows:

[0137] Among them, the visual translation of inorganic geometric form language on regular wrinkled carriers is divided into two parts. The first part is the visual translation rules of inorganic points, lines and planes on regular wrinkled carriers, mainly based on the visual rules and visual principles in Chapter 3; the second part is the visual translation path of inorganic geometric figures on the third type of regular wrinkled carrier represented by Miura folds.

[0138] According to Figure 2 shown, it is a schematic diagram of the visual rules and translation paths of inorganic geometric figures on regular wrinkled carriers. Designers can choose the corresponding conclusions for visual translation according to different types of design requirements:

[0139] In addition, the visual translation of organic geometric form language on regular wrinkled carriers is divided into two major parts. The first part is the visual generation rules of organic geometric repeating patterns, and the second part is to translate them onto regular wrinkled carriers. The specific translation process is summarized as Figure 3 shown.

[0140] Finally, it should be noted that the summary of the visual translation path conclusions of geometric form language on regular wrinkled carriers is shown in the following table:

[0141]

[0142]

[0143] Table 3

[0144]

[0145] Table 4

[0146] The present invention will conduct practical verification based on the overall research conclusion of the visual translation path including visual laws, visual imaging principles, visual translation rules, and visual translation methods. Thereby indicating that this set of theories is practical and feasible, taking into account both "vision" and "communication", giving play to the advantages of the combination of regular wrinkle carriers and geometric form languages, and at the same time solving existing problems.

[0147] It can be understood that the present invention is described through some embodiments. Those skilled in the art know that without departing from the spirit and scope of the present invention, various changes or equivalent replacements can be made to these features and embodiments. In addition, under the teaching of the present invention, these features and embodiments can be modified to adapt to specific situations and materials without departing from the spirit and scope of the present invention. Therefore, the present invention is not limited by the specific embodiments disclosed herein, and all embodiments falling within the scope of the claims of this application belong to the scope protected by the present invention.

Claims

1. A method for visual design on a regular wrinkled carrier, characterized in that, The regular corrugated carrier includes all three-dimensional carriers with regular corrugations, and its regular corrugation unit consists of three parts: a convex mountain crease, a concave valley crease, and an un-folded crease unit surface in the middle; Based on the size and density corresponding to the regular corrugation unit, the regular corrugated carrier includes: Yoshimura corrugation, the unit is mainly in the shape of a polygon block, presenting a dispersed, stretched, shallow concave-convex corrugated form; Z-shaped corrugation, the unit is a slender rectangle, presenting a repetitive and dense corrugated form as a whole; Miura corrugation, the unit is a parallelogram, the density of the unit presents a comfortable regularity, and there is enough sense of space between the units; Based on different categories of geometric form languages for visual design on various regular corrugated carriers, including visual rules and translation rules, and carried out in the following ways: A1. Based on the visual translation of dot matrix and line geometry in geometric form language on the crease, and according to the crease characteristics, the combination rule 1 of "shape"; A2. Based on the visual translation of block geometry in geometric form language on the corrugation unit surface, and according to the arrangement characteristics of the corrugation unit surface, the combination rule 2 of "shape"; A3. Based on the inorganic geometric figures in geometric form language, use mathematical induction to explore the internal order, deformation rules and visual translation paths of square geometry, triangular geometry and circular geometry on the Miura regular corrugated carrier; A4. Based on the visual translation and derivation of organic geometric patterns on the corrugation unit surface, obtain the translation rules 3, 4 and 5 of organic geometric patterns on the regular corrugated carrier. The derivation rules involved in the generation of organic geometric repeated patterns are symmetry rules.

2. The method for visual design on a regular wrinkle carrier according to claim 1, characterized in that The rule 1 in the above A1 includes: Mathematical combination: "repetition", "symmetry"; Breaking rule combination: "dislocation", "frame"; Dynamic combination: "gradual change", "diffusion", "emission", "scintillation".

3. A method for visual design on a regular wrinkled carrier according to claim 1, characterized in that, The rule 2 in the above A2 includes: Geometric pixelation; Mathematical combination: "repetition", "symmetry"; Breaking rule combination: "dislocation", "frame"; Dynamic combination: "gradual change", "diffusion", "emission", "scintillation".

4. A method for visual design on a regular wrinkle carrier according to claim 1, characterized in that, The above A3 also includes the exploration of the initial graphic and the planar deformation diagram. It is proved by experiments that the planar deformation diagram of square geometry is jointly composed of the planar deformation diagrams of horizontal line geometry and vertical line geometry.

5. A method for visual design on a regular wrinkled carrier according to claim 1, characterized in that, The rule 3 in the above A4 is that each corrugation unit surface on the regular corrugated carrier can be regarded as a splicing grid, called "corrugation splicing grid", and multiple corrugation unit surfaces are used as a splicing grid, depending on the requirements of the final visual effect.

6. A method for visual design on a regular wrinkled carrier according to claim 1, characterized in that, The rule 4 in the above A4 includes: Rotational symmetry, which means rotation and repetition around a certain point. This fixed point is inside or outside the element and can be symmetric multiple times; Translation symmetry, which means the result of a figure moving a specific distance in a specific direction. The elements in it can rotate by themselves and the translation distance can change. The figure is an element, pattern or derived pattern; Mirror symmetry, which means that half of a figure is mirror-replicated and repeated with the other half. The elements in it can rotate by themselves and the distance from the symmetry axis can change; Glide mirror symmetry refers to a combined form of two symmetries. First, translational symmetry is applied, and then mirror symmetry is continued along the same direction. The distance ratio between the two symmetry behaviors, where the elements can rotate by themselves, can vary.

7. A method for visual design on a regular wrinkled carrier according to claim 1, characterized in that, Rule 5 in A4 includes: Linear symmetry refers to the way of symmetry along a straight line. Plane symmetry refers to the symmetry on a plane in two directions, ultimately enabling the pattern to cover the entire surface. This plane symmetry rule involves the size of the splicing grid, so the size and shape of the splicing grid can vary, and the two translational directions forming the plane can vary. Seamless repetition refers to those repeating patterns that seemingly have no specific start and end. Specifically, seamless repetition means translating half of the graphic horizontally to the other side, then translating half of the vertical direction to the other side, and subsequently performing plane symmetry to generate the pattern.

8. A method for visual design on a regular wrinkled carrier according to claim 1, characterized in that, The visual translation path of the organic geometric form language on the regular wrinkled carrier is as follows: First, the organic form language is deconstructed into organic geometric elements; then, the organic geometric elements generate organic geometric patterns; next, the organic geometric patterns generate organic geometric repeating patterns; finally, it is translated to the wrinkled splicing grid according to the arrangement rule of the wrinkled unit.

9. A method for visual design on a regular wrinkle carrier according to claim 1, characterized in that The visual translation of the inorganic geometric form language on the regular wrinkled carrier is divided into two parts. The first part is the visual translation rule of inorganic point, line, and plane geometry on the regular wrinkled carrier; the second part is the visual translation path of inorganic geometric graphics on the third type of regular wrinkled carrier typified by the Miura fold.

Images