“竹”字的拓扑结构及其设计应用

The Topological Structure of the Chinese Character "Zhu" and Its Applications in Design

目的用数学语言精确表达"竹"字发展过程中的形体结构,并提取其拓扑结构。方法利用拓扑学的严密性分析"竹"字的形体结构演变规律,并单纯剖分其形体结构,提取"竹"字在发展过程中保持不变的结构。结论讨论了"竹"字拓扑结构在造型设计中的应用,用拓扑学方法分析了象形字的形体演变过程,提取了其保持不变的结构,即拓扑结构,并对造型设计有一定的指导作用。

The work aims to accurately express the physical structure of Chinese character"Zhu"in the development process in mathematical language and extract its topological structure.The preciseness of topology was used to analyze the evolution law of the shape structure of Chinese character"Zhu"and the simplicial triangulations were made to its shape structure to extract the structure of Chinese character"Zhu"that remained unchanged in the development process.The topological structure of the Chinese character"Zhu"applied in the shape design is discussed.The shape evolution process of pictographic characters is analyzed by means of topology.Its structure that remains unchanged is extracted,that is,topological structure,and it has certain guiding function for shape design.