Color-variable paper folding structure and display color control method thereof

Abstract

The invention discloses a variable-color paper folding structure and a display color control method thereof, and relates to the technical field of paper folding, the variable-color paper folding structure comprises a plurality of paper folding basic units, each paper folding basic unit comprises a whole color block and color mixing blocks connected with the whole color block up, down, left and right, each color mixing block comprises a first corner part and a second corner part which are symmetrical in shape, the first corner part is connected with the building block and is windmill-shaped; the paper folding basic units are arranged in an inclined array mode; each paper folding basic unit adopts a folding mode of center rotary folding and corner dynamic opening and closing; the method has the beneficial effects that colors are accurate and changeable; dynamic opening and closing are intelligent; the multi-angle vision is rich; the application is wide and flexible; and interdisciplinary innovation is realized.

Description

Technical Field

[0001] The present invention relates to the technical field of origami, and in particular to a color-variable origami structure and a method for controlling the color displayed thereof. Background Art

[0002] Origami, a traditional art form, has been widely used in art creation, architectural design, consumer products, and other fields due to its unique folding technique and spatial modeling capabilities. In the art field, origami artworks have attracted numerous audiences with their exquisite shapes and rich cultural connotations. In architectural design, the lightweight and foldable characteristics of origami structures have brought new ideas and methods to architectural design. For example, some building facades use origami-like structures, which are both beautiful and capable of achieving specific functions. In the consumer product field, the use of origami elements also adds interest and uniqueness to products, such as some creative packaging boxes that use origami designs.

[0003] However, traditional origami structures are mostly limited to static shapes. Once their colors and patterns are determined, they are difficult to change and lack the effect of dynamic changes. Although there are some origami designs with dynamic effects, there are still deficiencies in color control, and complex and precise color changes cannot be achieved. In the existing technology, it is difficult to effectively control the dynamic changes of colors and origami structures through mathematical models, and it is impossible to meet people's demand for diverse and personalized visual effects. For example, in art exhibitions, audiences hope that origami works can present different colors and patterns according to viewing angles, time or environmental factors; in building exterior wall shading systems, origami structures are required to be able to adjust light and temperature, and to present rich visual effects at different angles; in consumer products, consumers expect products to produce dynamic and colorful visual presentations according to environmental changes.

[0004] Therefore, there is an urgent need for an origami structure that can achieve color change and dynamic opening and closing effects and a control method thereof to overcome the shortcomings of existing technologies and meet the needs of different fields for the diversification and intelligence of origami structures. Summary of the Invention

[0005] The purpose of the present invention is to provide a color-variable origami structure and a method for controlling the color thereof in order to solve the above-mentioned problems.

[0006] The present invention achieves the above-mentioned purpose through the following technical solutions:

[0007] A color-variable origami structure comprising

[0008] Multiple origami basic units, each comprising a solid color block and mixed color blocks connected to the solid color block above, below, left, and right, each of the mixed color blocks comprising two symmetrically shaped first and second corners, the first corner being connected to the solid color block and forming a pinwheel shape;

[0009] The origami basic units are arranged in an oblique array;

[0010] Each of the origami basic units adopts a folding method of central rotation folding and dynamic opening and closing of corners.

[0011] Preferably, the opening and closing angle of the origami basic unit changes with time or external stimulation, and the opening and closing angle is controlled by the formula θ(x,y,t)=θ0+Asin(ωt+φ(x,y)), wherein θ0 is the base angle, A is the opening and closing amplitude, ω is the angular frequency, and φ(x,y) is the position-related phase offset.

[0012] Preferably, regional dynamic response is achieved by adjusting the phase offset φ(x, y) in the formula θ(x, y, t)=θ0+Asin(ωt+φ(x, y)).

[0013] A method for controlling the display color of a color-variable origami structure comprises the following steps:

[0014] Determine the position coordinates (x, y) of the origami basic unit in the overall structure according to design requirements;

[0015] The rotation angle θ(x, y) and density or compactness d(x, y) of each origami basic unit are determined by a mathematical function, and the color block function C(x, y) = f(θ(x, y), d(x, y)) is substituted into the color block function to control the color value of each unit to achieve one or more effects of color gradient, regional color separation, and local pattern splicing; wherein (x, y) is the position coordinate of the unit cell in the overall structure, θ(x, y) is the unit rotation angle, d(x, y) is the density or compactness of the unit, and f is the mapping function;

[0016] According to time or external stimulation, the opening and closing angles of the origami basic unit are adjusted according to the formula θ(x, y, t) = θ0 + Asin(ωt + φ(x, y)) to achieve a dynamic opening and closing effect.

[0017] Preferably, in the step of achieving the dynamic opening and closing effect, the opening and closing state and the dynamic response area of ​​the origami basic unit are adjusted by changing the parameters θ0, A, ω, φ(x, y) in the formula.

[0018] An art work is made using the above-mentioned color-variable origami structure or color display control method, presenting different patterns or image effects when viewed from different angles, and supports dynamic opening and closing, suitable for gallery exhibitions and interior decoration.

[0019] A building device is made using the above-mentioned color-variable origami structure or color display control method. The origami basic unit is enlarged and applied to the building exterior wall shading system. The unit opens and closes according to the solar altitude angle to control light and temperature, while forming different facade patterns at different angles.

[0020] A consumer product is made using the above-mentioned color-variable origami structure or display color control method. The consumer product is a dynamic packaging box or a lamp cover, which opens and closes dynamically according to environmental changes.

[0021] Compared with the prior art, the present invention has the following beneficial effects:

[0022] Precise and changeable colors: Use color block functions to precisely control colors. By adjusting parameters and mapping functions, you can achieve color gradients, regional color separation and other effects to meet different design needs.

[0023] Dynamic opening and closing intelligence: The opening and closing angle formula enables the origami unit to flexibly change over time or with external stimuli, achieving regional dynamic response. This can be used in buildings to intelligently adjust light and temperature, and in products to enhance interactivity.

[0024] Rich visual experience from multiple angles: Different patterns are presented at different angles, which can bring unique viewing experience in the fields of art, architecture, and product design, enhance the sense of space and product competitiveness;

[0025] Wide range of applications and flexibility: various unit connection methods, adjustable scale to adapt to different outer contours, applicable to multiple fields, customizable design, and high market promotion value;

[0026] Interdisciplinary innovation: Integrating mathematical models with origami techniques to promote the digitalization and intelligence of origami design, and opening up new directions in related fields. BRIEF DESCRIPTION OF THE DRAWINGS

[0027] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the following briefly introduces the drawings required for use in the embodiments or the description of the prior art. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative work.

[0028] Figure 1 This is a schematic diagram of the rotation opening and closing of the origami unit of the color-variable origami structure described in the present invention.

[0029] Figure 2 It is a schematic diagram of the unfolded structure of a color-variable origami structure described in the present invention.

[0030] Figure 3 and Figure 4This is a schematic diagram of an application product of a color-variable origami structure described in the present invention.

[0031] The following are the descriptions of the reference numerals:

[0032] 1. Whole color block; 2. Mixed color block; 21. First corner; 22. Second corner. DETAILED DESCRIPTION

[0033] In the description of the present invention, it should be understood that the terms "center", "longitudinal", "lateral", "up", "down", "front", "back", "left", "right", "vertical", "horizontal", "top", "bottom", "inside", "outside" and the like indicate orientations or positional relationships based on the orientations or positional relationships shown in the accompanying drawings, and are only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the device or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore cannot be understood as limiting the present invention. In addition, the terms "first", "second", etc. are only used for descriptive purposes, and cannot be understood as indicating or implying relative importance or implicitly indicating the number of the indicated technical features. Therefore, features defined as "first", "second", etc. may explicitly or implicitly include one or more of such features. In the description of the present invention, unless otherwise specified, "multiple" means two or more.

[0034] In the description of the present invention, it should be noted that, unless otherwise clearly specified and limited, the terms "installed", "connected" and "connected" should be understood in a broad sense. For example, it can be a fixed connection, a detachable connection, or an integral connection; it can be a mechanical connection or an electrical connection; it can be a direct connection or an indirect connection through an intermediate medium, or it can be internal communication between two components. For ordinary technicians in this field, the specific meanings of the above terms in the present invention can be understood based on specific circumstances.

[0035] The present invention will be further described below in conjunction with the accompanying drawings:

[0036] Example 1

[0037] A color-variable origami structure comprises an origami basic unit comprising a whole color block 1 and mixed color blocks 2 connected to the whole color block 1 above, below, left and right, each of the mixed color blocks 2 comprising two symmetrical first corners 21 and second corners 22, the first corner 21 being connected to the whole color block and forming a windmill shape; the origami basic units are arranged in an oblique array; each of the origami basic units adopts a folding method of central rotation folding and dynamic opening and closing of the corners.

[0038] The opening and closing angles of the origami basic unit change with time or external stimuli, and are controlled by the formula θ(x,y,t)=θ0+Asin(ωt+φ(x,y)), where θ0 is the base angle, A is the opening and closing amplitude, ω is the angular frequency, and φ(x,y) is the position-related phase offset.

[0039] Regional dynamic response is achieved by adjusting the phase offset φ(x, y) in the formula θ(x, y, t)=θ0+Asin(ωt+φ(x, y)).

[0040] In addition, this embodiment also discloses a method for controlling the display color of a color-variable origami structure, comprising the following steps:

[0041] Determine the position coordinates (x, y) of the origami basic unit in the overall structure according to design requirements;

[0042] The rotation angle θ(x, y) and density or compactness d(x, y) of each origami basic unit are determined by a mathematical function (see below), and the color block function C(x, y) = f(θ(x, y), d(x, y)) is substituted into the color block function to control the color value of each unit to achieve one or more effects of color gradient, regional color separation, and local pattern splicing; wherein (x, y) is the position coordinate of the unit cell in the overall structure, θ(x, y) is the unit rotation angle, d(x, y) is the density or compactness of the unit, and f is a mapping function (see below);

[0043] According to time or external stimulation, the opening and closing angles of the origami basic unit are adjusted according to the formula θ(x, y, t) = θ0 + Asin(ωt + φ(x, y)) to achieve a dynamic opening and closing effect.

[0044] Among them, in the step of achieving the dynamic opening and closing effect, the opening and closing state and the dynamic response area of ​​the origami basic unit are adjusted by changing the θ0, A, ω, φ(x, y) parameters in the formula.

[0045] Example 2

[0046] A dynamic gradient color pixel origami painting

[0047] 1. Material Preparation: Select colored paper of moderate thickness and good flexibility, ensuring high color saturation and resistance to fading. Pre-print the paper according to the designed color block function C(x,y) to achieve an initial color distribution. Prepare a lightweight frame to secure the origami structure and a small motor drive unit. The motor drive unit must have adjustable speed and angle to control the opening and closing of the origami units.

[0048] 2. Origami Unit Creation: Cut colored paper into multiple square or nearly square origami units. Fold each unit using a central rotational fold and dynamic corner opening and closing techniques. During the folding process, ensure clear creases and accurate angles to ensure smooth opening and closing.

[0049] 3. Structural Assembly: Arrange the origami units into a regular grid structure using edge or corner connections according to the designed structural arrangement. Use glue or small connectors to secure the connections. Mount the assembled origami structure on a lightweight frame and connect it to a motor drive unit, which drives the units to open and close dynamically according to the formula θ(x,y,t)=θ0+Asin(ωt+φ(x,y)).

[0050] 4. Implementation: Activate the motor drive and adjust the parameters in the formula, such as θ0, A, ω, and φ(x,y), to adjust the origami units to display different opening and closing states and color variations. When viewed from the front, the opening and closing of the units and the color distribution create pattern A. When viewed from an oblique angle, the overlapping of the units and the blending of the colors change as the viewing angle changes, resulting in pattern B. This dynamic gradient pixel origami painting can be used in museum exhibitions, offering a unique visual experience, or as interior decoration, adding an artistic ambiance to any space.

[0051] Example 3

[0052] A building exterior wall sunshade system

[0053] 1. Material Selection: Considering the building's exterior environment and functional requirements, the origami units are constructed from lightweight, high-strength, weather-resistant materials, such as special alloys or high-performance plastics. The materials undergo a special surface treatment to enhance their light reflection and absorption properties. Furthermore, solar sensors and an electric drive system are used to detect changes in the sun's altitude and activate the opening and closing of the origami units.

[0054] 2. Unit Design and Fabrication: Enlarge the origami unit to a size suitable for the building's exterior wall. Based on the architectural design requirements, create a large number of square or nearly square origami units of the same specifications. Use a central rotation folding method with dynamic corner opening and closing to ensure structural stability during the opening and closing process.

[0055] 3. Installation and System Integration: A fixed frame is installed on the building's exterior wall. The origami units are mounted on the frame according to a designed structural arrangement (such as a regular grid or a grid structure customized to the building's exterior shape). Solar sensors and an electric drive system are connected to enable the system to monitor the sun's altitude in real time and automatically adjust the opening and closing angles of the origami units according to the formula θ(x,y,t)=θ0+Asin(ωt+φ(x,y)).

[0056] 4. Functionality: When the sun's altitude is low, the formula parameters are adjusted to partially open the origami units, allowing a moderate amount of light into the room while blocking some heat. When the sun's altitude is high, parameters such as the opening and closing amplitude A are increased to further close the origami units, effectively blocking sunlight and heat. Furthermore, because the origami units open and close differently and are arranged at different angles, the building's facade presents different patterns from different viewing angles, enhancing its aesthetics and uniqueness.

[0057] Example 4

[0058] A dynamic packaging box

[0059] 1. Materials and Design: Choose paper or environmentally friendly plastic materials with a certain degree of toughness and strength for the packaging. Design an appropriate origami structure based on the product's shape and size, determining the size and number of origami units. Print patterns and colors based on the color block function C(x,y) on the material surface to achieve a unique visual effect.

[0060] 2. Production Process: Cut the material into the desired shape and create origami units by rotating and folding the center and dynamically opening and closing the corners. The origami units are assembled into the shape of a packaging box by connecting the edges or corners and securing them with glue or snaps. A small vibration sensor and micro-actuator are installed inside the box to enable it to respond to environmental changes.

[0061] 3. Application Effect: When the packaging box is subjected to vibration (such as bumps during transportation) or environmental changes such as wind, the vibration sensor triggers the micro-actuator, which controls the opening and closing of the origami elements according to the formula θ(x,y,t)=θ0+Asin(ωt+φ(x,y)). For example, when the box is vibrated, by adjusting the parameters, the origami elements on the surface of the packaging box partially open, revealing some product information or unique decorative patterns inside, increasing the product's interest and appeal, and enhancing the consumer's unboxing experience.

[0062] Summary of the function model of the origami module system:

[0063] 1. Origami unit opening and closing angle function (dynamic response)

[0064] \theta(x,y,t)=\theta_0(x,y)+A\cdot\sin(\omegat+\phi(x,y))

[0065] \theta(x,y,t): the opening and closing angle of the module at coordinate (x,y);

[0066] \theta_0(x,y): base expansion angle;

[0067] A: Maximum amplitude (opening and closing range);

[0068] \omega: frequency of change;

[0069] \phi(x,y): phase control function (can be used for gradient or image control);

[0070] t: time or excitation variable (such as wind power, voltage, etc.).

[0071] 2. Color distribution function (mapping image or color block)

[0072] C(x,y)=f\left(\theta(x,y),D(x,y)\right)

[0073] C(x,y): color value (RGB or grayscale) of the module at (x,y);

[0074] D(x,y): the pixel value of the original image represented by the module;

[0075] f: color mapping function, which can be defined as:

[0076] Simple mapping: f(\theta,D)=D\cdot\cos(\theta)

[0077] In combined image mode: f(\theta)=I_1\cdot\cos(\theta)+I_2\cdot\sin(\theta).

[0078] 3. Multi-angle image switching function

[0079] Used to build a display structure for "seeing different images from different perspectives":

[0080] V(x,y,\alpha)=I_k(x,y)\quad\text{where}\quadk=\text{round}\left(\frac{\alpha}{\Delta\alpha}\right)

[0081] V(x,y,\alpha): the displayed image of position (x,y) observed at angle \alpha;

[0082] I_k(x,y): k-th layer image data;

[0083] \Delta\alpha: the width of the visual angle occupied by each image;

[0084] The origami modules can be used as reflecting or shielding units.

[0085] 4. Splicing module array function

[0086] If the whole is an M\timesN array structure:

[0087] S=\sum_{i=1}^{M}\sum_{j=1}^{N}U(i,j)

[0088] U(i,j): the set of structure, color, and angle states of the i-th and j-th units;

[0089] S: The visual output set of the entire system.

[0090] 5. Control input function (used to respond to external stimuli)

[0091] For example, the wind response can be expressed as:

[0092] \theta(t)=\theta_0+k\cdotv(t)

[0093] v(t): wind speed;

[0094] k: response coefficient of the structure to wind speed;

[0095] \theta(t): The actual opening and closing angle of the module after wind blowing.

[0096] The basic principles, main features and advantages of the present invention are shown and described above. Those skilled in the art should understand that the present invention is not limited to the above embodiments. The above embodiments and descriptions are only for explaining the principles of the present invention. Without departing from the spirit and scope of the present invention, the present invention may be subject to various changes and improvements, and these changes and improvements shall fall within the scope of the invention claimed for protection.

Claims

1. A color-changeable origami structure, characterized by: include A plurality of origami basic units, each of the origami basic units comprising a whole color block (1) and mixed color blocks (2) connected to the whole color block (1) above, below, left and right, each of the mixed color blocks (2) comprising two symmetrically shaped first corners (21) and second corners (22), the first corner (21) being connected to the whole color block and forming a windmill shape; The origami basic units are arranged in an oblique array; Each of the origami basic units adopts a folding method of central rotation folding and dynamic opening and closing of corners.

2. The color-variable origami structure according to claim 1, wherein: The opening and closing angles of the origami basic unit change with time or external stimuli, and are controlled by the formula θ(x,y,t)=θ0+Asin(ωt+φ(x,y)), where θ0 is the base angle, A is the opening and closing amplitude, ω is the angular frequency, and φ(x,y) is the position-related phase offset.

3. The color-variable origami structure according to claim 2, wherein: Regional dynamic response is achieved by adjusting the phase offset φ(x, y) in the formula θ(x, y, t)=θ0+Asin(ωt+φ(x, y)).

4. A method for controlling the display color of the color-variable origami structure according to any one of claims 1 to 3, characterized in that: The following steps are involved: Determine the position coordinates (x, y) of the origami basic unit in the overall structure according to design requirements; The rotation angle θ(x, y) and density or compactness d(x, y) of each origami basic unit are determined by a mathematical function, and the color block function C(x, y) = f(θ(x, y), d(x, y)) is substituted into the color block function to control the color value of each unit to achieve one or more effects of color gradient, regional color separation, and local pattern splicing; wherein (x, y) is the position coordinate of the unit cell in the overall structure, θ(x, y) is the unit rotation angle, d(x, y) is the density or compactness of the unit, and f is the mapping function; According to time or external stimulation, the opening and closing angles of the origami basic unit are adjusted according to the formula θ(x, y, t) = θ0 + Asin(ωt + φ(x, y)) to achieve a dynamic opening and closing effect.

5. The display color control method according to claim 4, wherein: In the step of achieving the dynamic opening and closing effect, the opening and closing state and the dynamic response area of ​​the origami basic unit are adjusted by changing the θ0, A, ω, φ(x, y) parameters in the formula.

6. A work of art characterized by: The invention is made of the color-variable origami structure described in any one of claims 1 to 3 or the color display control method described in any one of claims 4 to 5, presents different patterns or image effects when viewed from different angles, and supports dynamic opening and closing, and is suitable for gallery exhibitions and interior decoration.

7. A construction device, characterized in that: The color-variable origami structure according to any one of claims 1 to 3 or the color display control method according to any one of claims 4 to 5 is used to manufacture the origami basic unit, and the origami basic unit is enlarged and applied to the building exterior wall shading system. The unit is opened and closed according to the change of the sun's altitude angle to control the light and temperature, and at the same time, different facade patterns are formed at different angles.

8. A consumer product, characterized in that: The consumer product is made of the color-variable origami structure described in any one of claims 1-3 or the display color control method described in any one of claims 4-5, and is a dynamic packaging box or a lamp cover, which dynamically opens and closes according to environmental changes.

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