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# 美国作业代写：The representation of mathematics in art design

2018-02-02 来源: 51due教员组 类别: Essay范文

As the foundation of science and technology development, mathematics plays an important role in the whole design field. Design mathematics can be seen everywhere in industrial design and art design: perspective, proportion, balance, scale, rhythm, rhythm, golden section, visual balance and coordination. Design, product design, architectural design, environmental art design and so on need mathematical support.

Mathematical research is the quantitative relationship and spatial form of the real world. As a basic science, it is widely used in technical engineering and is an indispensable tool for many theoretical science, and there is a natural connection between mathematics and aesthetics. However, because of the high degree of abstractness of mathematics, people who study art design have a one-sided understanding of it, and believe that mathematics and art have little connection and even conflict. In fact, mathematics runs throughout the design process. In product design, for example, the design process the draft covers market research, demand analysis, design and evaluation, plan design, output, and many other links, each link cannot leave the mathematics this useful tool. Especially in today's information age, the design process is becoming more and more digital. There is no good mathematical foundation for mastering digital design tools.

"Mathematics is the science that studies the spatial form and quantity relation of the real world". The whole mathematics is based on the two basic concepts of "number" and "shape", which are developed from the refining, deepening and evolution of these two basic concepts. But the "number" and "shape" are not completely separate and separate. Complex geometry will be ever-changing space forms of study due to mature, it is easy to control the number of relations research principle of the method has been widely used, applied to the industrial design and art design, design a new branches of mathematics, to broaden the application fields of mathematics, at the same time encourage designers to "count" and "form" the understanding of the concept of further deepening, strengthen the understanding of the essence of design, and provides a powerful weapon for designers, help designers get rid of the cumbersome affairs of design expression, focus on originality and idea, to a more creative design activities.

Design mathematics can be seen everywhere in industrial design and art design: perspective, proportion, balance, scale, rhythm, rhythm, golden section, visual balance and coordination. Design mathematics not only explain the beauty of nature and art, also put forward in the design theory and method of having created beauty: for a future designer, to understand the fine graphics behind esoteric science philosophy and simple algorithm, to understand the seemingly cold, boring of the beauty of mathematics and emotional is essentially intrinsic interlinked, more important is to learn to apply these knowledge and technology, create beauty in the actual design.

Mathematics is not piled up by a chain of moments of formula and a series of theorem, and the essence of mathematics lies in its thought, spirit, and the method to solve the problem, the essence gives extremely to the evolution of human culture and understanding the objective world. Mathematics for designers and artists to create and convey the inspiration of design ideas and tools plays a positive role, designers and artists use design mathematics into the high dimension space and the complex world. "Mathematics is the art of solving problems," said one famous mathematician, poria. The main task of the study design mathematics is needed in the design of learning mathematics basic knowledge and basic theory, master the commonly used in the design of mathematical methods, applied mathematical tools to carry out the design practice of basic training, gradually train the ability of abstract thinking, logic reasoning, geometric intuitive ability, space imagination ability and the ability to solve practical design problems. Learning design mathematics not only to experience, understanding and application of mathematical beauty, comprehend the visual perception of mathematical relationship, cultivate "mathematical way of rational thinking," studying rational design art, and to master mathematics abstraction, symbolization, axiomatic, modeling and optimization way of thinking, to create aesthetic standard, the excellent design work and has the appreciation value.

As the foundation of science and technology development, mathematics plays an important role in the whole design field. For example, the pattern design seems to have nothing to do with mathematics. In fact, a lot of patterns are now generated using mathematical functions. Once the designer has mastered the method of designing patterns with mathematical functions, the efficiency of the design will be increased by tens of times, and the design level will be made a qualitative leap. Since even graphic design requires mathematics, product design, architectural design, environmental art design and so on need mathematical support.

Just as mathematics is the foundation of many disciplines, design cannot be separated from mathematics. The design process involves many steps. And with the development of The Times, design, also greatly expanded knowledge domain, designers can no longer rely on many years ago, the design idea and method of need to learn more new knowledge and skills. And mathematics plays an important role in our understanding and mastery of this knowledge.

Knowledge of data processing is involved in industrial design. No matter what kind of enterprise, what kind of product, serves the market, is dominated by the market, is restricted by the market. Therefore, industrial designers must grasp the trend of the market and understand the consumption trends before product design. This kind of activity must be based on the knowledge of mathematical statistics and data analysis.

Applicability at the same time, in order to improve the product, it is necessary to consider "human factors" in the industrial design: the application of anthropometry, human body mechanics, physiology, psychology and other disciplines of research methods, research human body measure parameters. These measures involve large amounts of data, and it is difficult to imagine the difficulty of processing without the knowledge of mathematical knowledge.

Geometry was born thousands of years ago because of the need for human life. Both at home and abroad, the original pottery was painted with distinct geometric patterns; The pyramids of ancient Egypt were huge, beautifully shaped, and had no geometric knowledge to be built. The ultimate goal of design is to create a better way of life.

Geometry is born of necessity and is destined to be a powerful tool for us to create a better life.

Measurement is closely related to geometry, and due to the needs of life and production, more and more geometric problems are in front of us. From sketching and making tools, to measuring the land and mountains, studying astronomy, the distance does not need to measure knowledge.

While sketching, we all use a pencil to visually inspect the experience of the object being drawn. The principle of similarity ensures the reliability of visual inspection. When designing the product, without the relevant drawing data, only the rough calculation can be made to calculate the key dimensions roughly. When the environment is designed, even if there is a tool, there are quite a few dimensions that cannot be measured. This is to use the knowledge of measurement. With auxiliary lines and auxiliary tools, you can get the data you want. Why is the design so well written and graphic that it seems to be deformed? What do you know about the visual errors?

In the design process, there must be an analysis of the design object and related things. All things in the objective world, small to particles, to the universe, can be abstracted into variables and functions represented by variables. The function and variable of design object is mathematical analysis. For example, in the design of automobile appearance, we need to know whether the contour curve of the design is smooth and smooth, and the problem of smoothness must be determined by differentiating. In addition, calculus can be used in the area and volume calculation, statistical analysis, optimization design, motion design, strength analysis of materials, and computer graphics. So calculus is a powerful tool for design analysis.

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