复杂二维契合图形研究及应用展望

Complex Conjunctive Planar Graphs and Its Application Prospect

目的补充与完善现有契合图形设计方法,并对其实际应用提出构想。方法首先采用程序的穷举法推导出正十二边形以下正多边形的所有契合解,并以此为基础从几何变换的角度进行复杂契合图形的创新设计。结论给出了简单契合图形转化成旋转对称图形与轴对称图形的通用方法,以及正四边形通过变换形成契合图形的特殊规律,提出了"布尔契合"的思想,形成一种新的契合图形。最后阐述了此理论在当代设计领域与设计思潮下的应用价值。

It aims to supplement and perfect the existing design method of conjunctive graphs, and put forward the idea of its practical application. First it derives all conjunctive solutions using the procedural law, then based on this, makes creative design of complex conjunction graph from the view of geometric transformation. It gives the general me- thod to form the rotational symmetry graph and the axis of symmetry graph through the simple conjunctive graphs, and the special rule that how the square to form the conjunctive graphs. Then based on this, it puts forward the thought of ＂Boolean fit＂, and creates a new kind of conjunctive graphs. Finally it puts forward the application value of the theory under the contemporary design field and the design trend of thought.