正二十面体和二十面体对称病毒

Icosahedron and Icosahedral Viruses

本文从结晶学和拓扑学角度出发,分析了正二十面体的结构特征,并分别阐述了二十面体对称病毒的“准晶体构筑的二十面体原理”和二十面体上的点与球面上的点的拓扑等价关系.并且,在可单纯剖分的基础上,对其二十面体病毒的拓扑表面和三角形剖分数给予了详细的描述.

In the present paper the structural characteristics of the icosahedron were analysed in topology and crystallography. The principle of 'quasi-crystal-building icosahedron' and the topologica equivalent relation between points on spherical surface and that on icosahedral were expounded. on the basis of triangulable, the topological surface of the icosahedral virus and its triangulat-ion number(T)were also described in detail.