镶嵌·叠动·层流——耦合机制下的分形几何形式生成方法

Inlaying,Folding and Flowing:Formal Generation Methods for Fractal Geometry Under Coupling Mechanisms

以分形几何形式的层级建构为线索,本文通过解析分形几何与欧几里得几何、非欧几里得几何、拓扑几何之间的耦合关系,构建镶嵌、叠动、层流3种不同的操作方法并试图揭示三者之于空间布局、界面组织及结构关系的设计逻辑,为复杂有序的形式生成提供更广阔的选择性。

Taking the hierarchical construction of fractal forms as a clue,this paper explains the coupling mechanisms between fractal geometry and Euclidean geometry,non-Euclidean geometry or topological geometry.Three formal generation methods,namely inlaying,folding and flowing,are established,uncovering their design logic of the spatial composition,interfacial organisation and structural relationships,providing more extensive selectivity for the generation of organic forms.