Application of the hottest chaos theory in packagi

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Application of chaos theory in packaging design content abstract: Chaos Theory endows the traditional packaging design idea with fresh and rich scientific connotation, and also injects the blood of the times into the development of packaging design idea. Based on the understanding and analysis of the basic scientific categories of chaos, such as "certainty" and "randomness", "simplicity" and "complexity", "linearity" and "nonlinearity", this paper preliminarily discusses the guiding significance and application value of the ideas and methods contained in chaos to the development of packaging design

key words: Chaos Theory packaging design application

chaos theory is one of the three major scientific revolutions in the 20th century. As a major scientific theory as well known as quantum mechanics and relativity, chaos theory has had a great impact since it was put forward. At the same time, it has been widely used in various fields and has become an effective tool to explore nonlinear and complex problems. As a multidisciplinary system engineering, packaging design also shows the characteristics of chaos. The basic theory of chaos enriches and develops the theory of packaging design from various angles and guides the creative practice of packaging design. Here, the author will analyze the chaos of packaging design and discuss the application of chaos theory in packaging design

I. "certainty" and "randomness" in chaos and packaging creation reverie

one of the greatest achievements of chaos is to unify "certainty" and "randomness". Generally speaking, certainty and randomness are two completely opposite phenomena in the world, and there seems to be no possibility of any intersection. Certainty can enable us to accurately calculate the time of the appearance of solar and lunar eclipses and the accurate orbit of the satellite after launch; Randomness can not make us accurately determine the future results of things. For example, we can only confirm that the probability of each side facing up is 1/6. In chaotic systems, the above two phenomena occur at the same time, that is, they are neither pure certainty nor pure randomness, but both

in the creative process of packaging design, there is always the coexistence of "certainty" and "randomness". Many designers with open design ideas always try to accept the hint of strange ideas and the guidance of avant-garde information, get out of the dilemma and solve the confusion. This is because in the field of packaging design, once the traditional "certainty" and self-contained "design framework" and "thinking set" have formed a thinking circle, they may fall into the formula of "simplification" and "linearization". During the transformation process of thinking subject, the logic process will regularly form more detailed and abstract stylized subject thinking. The reason why it has "randomness" and "arbitrariness" is that the benefits it gives people are not only to break the conventional restrictions and various limitations, but also to open their minds and thoughts, and to make people feel subtle care and satisfaction in spirit. The design idea in a chaotic state is about to open the prelude to the evolution process of a certain system. In the unconsciously controlled free consciousness activities, some element programs between "question" and "answer" are suddenly sketched out and hit the thinking center of the cerebral cortex in time. According to certain procedures, a large amount of internal information can be freely combined and spliced. In the process of several artistic conception galloping, grasping the strange structure, breaking through the design difficulties and free reverie can continuously spread creative thinking, new ideas New ideas and new ideas are constantly emerging, and the entropy is getting bigger and bigger. Generally speaking, the change and revision process of a product packaging design shows the fluctuation value of entropy from macro to micro, which is a manifestation of quantitative change. Sometimes, the subconscious in design thinking affects the internal structure of the system and the connection of elements, and strives to find an accurate design art language in chaos

II. Application of chaotic "Fractal" theory in packaging graphics design

"Fractal" theory studies the similarity of geometric graphics of non integrable systems from the perspective of geometry. It has become a powerful tool to quantitatively describe complex and irregular phenomena such as dissipative structures and chaotic absorbers, and further promotes the development of nonlinear thinking. A packaging design with rich cultural connotation and strong visual impact shows an exact and clear structure, which requires a lot of calculation. The analysis of structure understanding has no limit on the number of variables. The numerical system can directly calculate the evolution orbit of the system. It is not based on the actual measured values, but on the analysis of the relationship between the system and the system, In the complex calculation form, we can get the forms of "circulation law", "repetition law" and "continuity law" with different aesthetic feeling. By using the strange circulation structure, we can match the reasonable algorithm in the packaging design intention, and create countless abstract graphics, which provides an unconventional way for the formal beauty of packaging design art

in various geometric principles, the "addition group" and "subtraction group" are used to form a beautiful rhythm and rhythm. It is found that each stage of the "real" elements of the structure forms an organic structure of mathematical abstraction, sensibility and representativeness, deconstructs and reconstructs the category of form, introduces the designer's intention into the systematic process, selects a certain number of concepts and propositions, and in the self-adjusting system composed of the structural transformation law, Through the ratio of rational number and irrational number to express the form, the form beauty is studied by the absolute value of the form. Through infinite changes, a basic model can achieve various structural styles, such as separation, contact, permutation, coverage, association, simplex and complex, positive and negative, decomposition and reconstitution between shapes. It uses integer ratio, phase difference series ratio, proportional series ratio and golden ratio to control the past and existing information materials for logical processing. No matter what kind of shape has its own fractal law to follow, the birth and formation of any excellent packaging design works have been thought and deliberated repeatedly. For example, in the composition, the black-and-white contrast and the mutual application of virtual and real space are used to make the shapes depend on each other and coexist. The modeling of limited space is suitable for a whole, creating the structural form of visual language in the interweaving of sensibility and rationality. Through the synthesis of a series of elements, an endless knowledge system is stimulated to form the unique morphological structure of the original language concept. The fractal application of abstract form is composed of the combination and division of points, lines and surfaces, which directly or indirectly represents the content of its packaging. Especially for the packaging of high-tech products, the geometric form with strong symbolism is simple and concise, which can give people association and aftertaste, so as to enhance the representation of functional image beauty as the core element to a higher level

III. chaos theory and computer-aided design

chaos mainly discusses the instability and divergence process of nonlinear dynamic system, which is very similar to the inclined clamping structure adopted by the sample 1 with excessive experimental force generated by fractal, and the clamping force increases with the increase of experimental force. Chaos and fractal depend on the progress of computer to a great extent. In the computer image of chaotic set, it is often the unstable point set of orbit that forms the fractal. So these fractals are given by an exact rule. They are chaotic sets of a dynamical system and are all kinds of strange attractors. For example, solitary waves are not regular propagation of periodic oscillation, and "unconventional" new methods adopted by "multimedia" technology for a large number of "unconventional" phenomena in the process of information storage, compression, propagation, conversion and control; Chaos breaks the "routine" that the deterministic equation strictly determines the future motion of the system by the initial conditions, and various so-called "strange attractors" appear. This challenges the traditional concept of pure mathematics. Computer technology not only makes some new discoveries in these two fields possible, but also greatly stimulates the intuitive form of its graphic representation. However, the existing thermosetting composite materials (epoxy or polyester) are difficult to recover the interest and understanding of designers at the end of their service life, and quickly become popular all over the world and widely used in the whole design industry. Therefore, the beauty of fractal art is the beauty of chaotic set, and fractal art is an important embodiment of chaos theory

IV. application of chaos theory to packaging anti-counterfeiting technology

talking about "simple" and "complex" problems, there is a very important conclusion in chaos, that is, simple systems can produce complex behaviors, and complex systems can produce simple behaviors. From an intuitive point of view, as long as you pay careful attention, you will find chaos everywhere. For example, if you take a piece of paper and tear it at random, you will find that the edges of the paper have many burrs discovered by the French scientist lemoigne in 1926. These burrs are neither regular nor can be repeated. Another example is traditional Chinese painting. When a line is drawn on the rice paper, the ink will immediately penetrate into the paper, and countless "burrs" of different lengths and shapes will appear on both sides of the paper. This is also a chaotic phenomenon, which can not be copied. Chaotic anti-counterfeiting technology is invented based on this chaotic phenomenon. Obviously, this method is "simple" and low-cost, and is very suitable for a variety of packaging anti-counterfeiting labels. For example, in order to increase the amount of information and beauty of anti-counterfeiting, four lines with the same length and parallel to each other are drawn on the rice paper with a brush, plus a positioning box to form a chaotic anti-counterfeiting image. There are four chaotic orbits in the figure. Around each chaotic orbit are burrs with different lengths and bends. Chaos anti-counterfeiting technology makes use of the non replicability and complexity of these chaotic orbits to achieve the purpose of anti-counterfeiting

from a theoretical point of view, chaotic systems are different from general linear systems, and their chaotic signals have unpredictable characteristics. Even if the system is set at the same starting point, the results of the system may be very different. Chaotic images contain a large number of microstructures, which are far less than what microprinting technology can achieve, so that counterfeiters can not use "copy" and photographic technology to copy. In view of the large amount of information of chaotic images and the inaccuracy of existing instrument measurement, the coarse-grained technology of nonlinear complexity algorithm can be used to extract the feature information of chaotic images. Chaotic image anti-counterfeiting technology has strong anti-interference ability

the existing laser anti-counterfeiting technology, biological anti-counterfeiting technology, nuclear track anti-counterfeiting technology, packaging anti-counterfeiting technology and query and identification anti-counterfeiting technology, no matter what, are no more than digital type and analog type. Chaos anti-counterfeiting technology combines these two types and achieves the purpose of anti-counterfeiting by establishing a corresponding relationship between analog information and data information. Since the simulation information cannot be copied, the whole anti-counterfeiting logo cannot be copied and broken. This provides a theoretical basis and a practical and effective way for packaging anti-counterfeiting design

v. packaging design in chaotic system is the unity of linearity and nonlinearity.

the "linearity" and "nonlinearity" in chaotic system can be understood as: the linear relationship is a straight line when acting, and it is a proportional relationship in imagination. The linear equation can be solved. It is easy to tell. It has an important superposition characteristic, which can be decomposed and merged without affecting the consistency of solutions. The non-linear relationship is not the case. Curves of various shapes, such as quadratic functions and trigonometric functions, are non-linear. Complex nonlinear equations do not necessarily have solutions

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