The Research Of Mathematical Design Form

With the rapid development of science and technology,new visual styles are emerging,and mathematical design forms are one of them.Mathematical design forms use a flat world as the source of creativity,and are based on digitalization and multimedia technologies as the performance platform.They change the appearance of design from the perspective of creativity,tools,materials,and transmission modes.Mathematical design forms not only reflect the impact of technology on art.It also indicates the rational thoughts of human intelligence on aesthetics.Modern design is not only a process of creating beauty,but also a strategy and a mode of thinking.It emphasizes systematic and reasonable thinking,and has a natural connection with logic.Therefore,the number-rational design form based on modern technology becomes a prominent feature of modern design.The parameter control structure,module topology structure,module linear change structure,and the mathematical structure behind the perceptual design.These four basic structures reflect the general form of the mathematical structure from the configuration rules.The mathematical structure presented in modern design forms is not only a visual form simply generated by modern designers through computer tools,but also a result of the unity of natural creation rules,human aesthetic consciousness,and science and technology.The generation of rational mathematical design forms is a continuous process from creativity generation,material selection,to model establishment.The creation process is a ringflow instead of a non-linear flow.Sometimes,each step is integrated and penetrated in concrete practice.The generation of rational mathematical design forms is an exploratory design,and a logical association is obtained by touching a type of bypass.In addition,the design is based on the rudiments and ideas given in the form of numerical rationality.During the modeling process,the three basic principles of mathematical design form construction are the formal aesthetic principle,general technical principle,and concept innovation principle.These three principles complement each other,and specify the technical and artistic aspects of design forms in three levels: Formal aesthetic principle,technical means,and design concept.Mathematical design forms are not cold mathematical models.People create beautiful temperature and humanistic features by creating their forms.The mathematical structure only constitutes the skeleton of the model.The essence of this mathematical form is the innovation of formal aesthetics.The research on logical design forms has always been aimed at inspiring people to view new visual styles from a wider perspective,and instructing modern designers to use more thinking angles and to achieve better design ideas with a broader vision and higher technical means.This document analyzes the mathematical design form in modern design from the theoretical basis,structure and architecture,design principles,and generation methods.It can be found that the mathematical design form is a new graphical phenomenon based on modern technical means.It is not only a design method generated in a design field,but also a high-efficiency and high-tech modeling method produced in future-oriented public aesthetics.In essence,the mathematical design form reflects the technical beauty in the design form in the era of the rapid development of science and technology.In the era of big data and the development of AI technologies,the research on the mathematical design form is the basic theoretical construction of AI applications in the art field.