Abstract: The chaos theory gives traditional packaging design ideas a fresh and rich scientific connotation. At the same time, it also injects the blood of the times into the development of packaging design concepts. In this paper, based on the analysis of the basic scientific categories such as "determinism" and "randomness", "simple" and "complexity", "linearity" and "non-linearity" in chaos, we have initially discussed the topics involved in chaos. The significance and application value of ideas and methods to the development of packaging design.
Keywords: chaos theory packaging design application chaos theory is one of the three major scientific revolutions of the 20th century. As a major scientific theory that is commensurate with quantum mechanics and relativity theory, chaos theory has had a tremendous impact since its introduction. It has also been widely used in various fields and has become an effective tool for exploring nonlinear and complex problems. As a multi-disciplinary system engineering, packaging design also shows the characteristics of chaos. The basic theory in chaos has enriched and developed the packaging design theory from various angles and guided the creative practice of packaging design. Here, the author will analyze the chaos of packaging design from a different point of view, and discuss the application of chaos theory in packaging design.
One of the greatest achievements of chaos in "determinism" and "randomness" in chaos and packaging creation is to unite "certainty" and "randomness". Generally speaking, certainty and randomness are two kinds of phenomena that are completely opposite in the world. It seems that there is no possibility of any overlap. Certainty can enable us to accurately calculate the time of the eclipse, the exact orbit of satellite launches, etc.; randomness does not allow us to accurately determine the future results of things. If we throw dice, we can only confirm its orientation. The possibilities are 1/6. In the chaotic system, the above two phenomena occur simultaneously, namely: neither pure certainty nor pure randomness, but both.
In the process of packaging design creativity, there are always “deterministic†and “random†coexistence situations. Many designers with open design ideas always try to accept the guidance of strange thoughts and avant-garde information, get out of the predicament and solve the confusion. . This is because in the field of packaging design, the traditional “deterministic†and self-contained “design framework†and “thinking potential†once formed a circle of thought, it may be plunged into “simplification†and “linearizationâ€. Among the formulas, during the transformation process of the subject of thinking, the logic program will form a more detailed and more abstractly programmed subject thinking. The reason why it has "randomness" and "arbitrariness" is because the grace it gives people not only breaks down the conventional restrictions and various limitations, but also opens up the mind, opens up the mind, and enables people to feel the subtle care in spirit. Satisfaction, and design thinking in chaos will open the prelude to determining the evolution of the system. In the unconsciously controlled free-conscious activity, some of the elements of the program between "question" and "answer" are suddenly outlined, and they hit the cerebral cortex's thinking center in time. According to certain procedures, they can freely combine their own intrinsic mass of information. Arbitrary splicing, grasping the strange structure, breaking through the difficult points of design, free thinking, can make the creative thinking continue to diverge, the new ideas, new ideas, new ideas are born, and the entropy value becomes larger and larger. In general, the change and correction process of a product packaging design shows the macro and micro fluctuation values ​​of entropy, which is a manifestation of quantitative changes. Sometimes, the subconsciousness in design thinking affects the internal structure of the system and the links between the elements, and strives to find accurate design art language in chaos.
Second, the application of "fractal" theory in the design of packaging graphics "Fractal" theory from the geometric point of view, study the similarity of irreversible system geometry, to quantitatively describe the dissipative structure and chaotic absorption of these complex and random phenomenon Powerful tools to further promote the development of nonlinear thinking. A packaging design with rich cultural connotation and strong visual impact shows a certain clear structure. It requires a lot of calculations. There is no limit to the number of variables in the analysis of structural understanding. The numerical system can directly calculate the evolution of the system. It is not based on actual measured values, but on the basis of the analysis of the interrelationships between the system and the system, and the "circular law", "repeated law", and "continuity law" that get different aesthetic feelings in the complex calculation form. The form, the use of a bizarre circular structure, the rational algorithm in the packaging design intention, and the creation of innumerable abstract graphics, provide an unconventional approach to the technical beauty of the packaging design art.
In the various geometric principles, “additive groups†and “subtractive groups†constitute beautiful rhythms and rhythms. The stages of the “real†elements of the structure are discovered, and the organic structure of mathematical abstract, perceptual, and concrete representations is deconstructed. With the category of reconstruction, the designer's intention is introduced into the systematic process, and a certain number of concepts and propositions are selected. In the self-adjustment system composed of structural transformation laws, the body is represented by the ratio of rational numbers and irrational numbers, and the absolute value of the body is To study the form of beauty. After a basic pattern has undergone infinite changes, it has achieved a variety of structural styles such as separation, contact, permeation, overlap, union, simplex and complex, positive and negative shapes, and decomposition and reconstruction. Ratios, phase difference ratios, odds ratios, and golden ratios are used to logically process past and existing information materials. No matter what kind of shape has its own fractal rules, the birth and formation of any excellent packaging design work has been repeated thinking and scrutiny. For example, the use of black-and-white contrasts in the composition, mutual application of virtual and real space, interdependence between shapes, fitting of finite space modeling to a whole, creating a structural form of visual language interwoven between perceptual and rational, through a series of elements The synthesis stimulates an endless knowledge system and forms the unique morphological structure of the original language concept. The use of abstract fractals consists of a combination of points, lines, and faces to directly or indirectly express the content of the package. In particular, for high-tech product packaging, the use of symbolic strong geometric shapes is simple and concise, and can be associated with With the aftertaste, the image of the enhanced functional imagery is at a higher level of the representation of the core elements.
3. Chaos Theory and Computer-Aided Design Chaos mainly discusses the instability and divergence of nonlinear dynamical systems. This is very similar to the fractal generation process. Chaos and fractals depend to a large extent on the advancement of computers. In the computer images of chaotic sets, fractal sets are often formed by orbital instability. So these fractals are given by an exact rule, they are chaotic sets of a dynamic system, are all kinds of strange attractors. For example, solitary waves are not the regular transmission of periodic oscillations, and the "unconventional" new methods used by "multimedia" technologies in the process of information storage, compression, propagation, conversion and control for a large number of "unconventional" phenomena; chaos breaks The deterministic equation strictly determines the "conventional" of the system's future movement from the initial conditions, and the so-called "exotic attractor" phenomenon. This poses a challenge to the traditional concept of pure mathematics. Computer technology has not only made possible some of the latest discoveries in these two fields, but the intuitive form of its graphical expression has also greatly inspired designers’ interest and understanding, and has rapidly It is popular around the world and is widely used throughout the design industry. Therefore, the beauty of fractal art is the beauty of chaos and fractal art is an important embodiment of chaos theory.
Fourth, chaos theory applied to packaging anti-counterfeiting technology talked about the "simple" and "complex" issues, there is a very important conclusion in chaos, namely: a simple system can produce complex behavior, complex systems can produce simple behavior. From an intuitive point of view, as long as you pay attention, you will find chaos everywhere. For example, if you take a piece of paper and tear it, you will find that there are many burrs on the edge of the paper. These burrs are neither regular nor reproducible. Another example is Chinese painting. When drawing a line on rice paper, the ink will immediately penetrate the paper. On both sides of the line, there will be countless “glitches†of different lengths and shapes. This is also a chaotic phenomenon, and it is also non-replicable. Chaos anti-counterfeiting technology was invented based on this chaotic phenomenon. Obviously, this method is "simple" and low cost, and is very suitable for a variety of packaging security labels. For example: In order to increase the amount of anti-counterfeit information and aesthetics, use a brush to draw four parallel and parallel lines on rice paper, plus a positioning frame to form a chaotic anti-counterfeiting image. There are four chaotic orbits in the diagram. Each chaotic orbit is surrounded by burrs of varying length and curvature. Chaos anti-counterfeiting technology is the use of these non-replicable chaotic orbits, "complexity" to achieve the purpose of anti-counterfeiting.
From a theoretical perspective, the chaotic system is different from a linear system with a general meaning. The chaotic signal has unpredictable characteristics. Even if the system is set to the same starting point, the results of the system may vary widely. Chaotic images contain a large number of micro-structures, which are much smaller than micro-printing technology can achieve, making counterfeiters unable to replicate using "copying" and photographic techniques. Due to the large amount of information of chaotic images and the inability of existing instruments to measure accurately, coarse grained techniques of nonlinear complexity algorithms can be used to extract the characteristic information of chaotic images. Chaotic image anti-counterfeiting technology has strong anti-interference ability.
The existing laser anti-counterfeiting technology, biological anti-counterfeit technology, nuclear track anti-counterfeiting technology, packaging anti-counterfeiting technology, and query identification anti-counterfeiting technology, etc., are nothing more than digital and analog types, and the chaotic anti-counterfeiting technology combines this with Two types, and through the establishment of correspondence between analog information and data information to achieve the purpose of anti-counterfeiting. Because the analog information cannot be copied, the entire security mark cannot be copied or broken. This provides a theoretical basis and a practical and feasible way for packaging anti-counterfeit designs.
5. The packaging design in a chaotic system is linear and nonlinear. The “linear†and “non-linear†in a unified chaotic system can be understood as follows: When a linear relationship acts, it appears as a straight line, and the imagination is a proportional relationship. The equations can be solved for ease of description and have an important superposition property that can be decomposed and merged without affecting the consistency of the solution. The non-linear relationship is not the case, and it acts as a curve of various shapes when it acts. For example, a quadratic function, a trigonometric function, etc. are all non-linear. Complex nonlinear equations do not necessarily have solutions and cannot be superimposed. Nonlinearity also means that the game itself includes methods to change the rules of the game. Non-linear effects have a non-independent coherence: "A tiny factor can lead to an effect that cannot be measured with its amplitude." Nonlinearity is difficult to calculate due to the interleaving of various internal factors, and can also result in linear systems that do not The rich and colorful behavior that may occur. In a chaotic system, linearity and non-linearity coexist, and they more often appear as nonlinearities. The major achievement of chaos in dealing with non-linear problems is to propose a mathematical method for solving problems. Through the correct calculation and drawing of methods such as renormalization group, scale transformation, fractal dimension, fractal, etc., it is possible to deal with infinitely dense non-conformities. Linear problem.
Although linearity and nonlinearity exist in the category of mathematics, when science and technology culture and humanities constitute the two major elements of the contemporary world, digitization becomes an unavoidable artistic proposition. They are integral in the process of depicting the world schema. Cross-cultural, at the same time, the "networked" and "systematic" thinking as a whole must also be penetrated into various fields through special thinking. Non-linear thinking is the modern and complex “networking†thinking. Its main features are openness, curvilinearity, and strong relevance. Non-linear thinking styles often show a lack of interest in symmetry, seeking to break the balance, even away from balance. Non-linear thinking is more creative than creative, and it can make designers deeper understanding of things, thus creating an inseparable tension between similarities and differences. Linear thinking is traditional, simple and isolated thinking, and it is easy to keep rigid. The main features are closedness, linearity, low relevance and so on. Excellent linear thinking