Research On The Topology Of Product

Topology as a new discipline in the field of modern mathematics has been much attention,many designers will have a forward-looking design topology and combine the most famous is the topology of geometric and architectural integration.In product design,geometric topology into a little further behind,which also affected the development and diversification of the product design process form the diversity of form,so the product form the topology of the research becomes particularly important.This article from the topology geometry combined with product design as the starting point,first study the topology geometry theorems and principles into the present,and then to find out the law of development of geometry and geometric topology Topology traditional Euclidean geometry compared to seek a breakthrough morphology.Next,the deformation law topology meticulous division and evolution of reasoning,so that mathematics can be a powerful tool to meet the product shape design,product form and explore the topology of the main theory,generate logic level and deformation.Finally,a combination of theory and case,carefully elaborated product form of the topology generation method and analyze them in depth from situation semantics,semantic and aesthetic emotion semantic point of view,so that the theory and practice effectively combined.The main purpose of this study is to try to seek a breakthrough in the field of product form design,the possibility of the depth of mining product forms such an angle with a modern design interdisciplinary integration.Topology product form of research not only to provide a methodology for designers to reference and reference,and can open up the designer’s vision,so that more people noticed form endless possibilities,from promoting the development of product design.