在艺术与设计的形式构成中,数理形式的规则化和逻辑性,是体现秩序感的有效手段。文章从两个部分对此展开论述,首先是对数理形式的原理进行解读,主要分析欧氏几何、非欧几何的观念与方法作用于艺术设计实践的意义与价值;其次是将几位著名艺术家和设计师的作品作为分析范例,他们执着于某种数理形式的逻辑生成方式,作品表现出的多种形式样式,对我们学习掌握形式规律有着重要的借鉴意义。 In the formal composition of art and design, the regularity and logic of the mathematical forms are effective means to reflect the sense of order. The article begins with two parts. Firstly, it explains the principle of mathematical form, mainly analyzes the meaning and value of the concept and method of Euclidean and non-Euclidean geometry in the practice of art design. Secondly, it introduces several famous artists And designers’ works as an example of their analysis, they attach themselves to some logical forms of mathematical forms and the various forms of their works show an important reference for us to learn and master the formal rules.