美妙的多面体

首先介绍正多面体（柏拉图多面体）、正多角面半正多面体（阿基米德多面体）及正多面角半正多面体的历史延革、几何特征及它们之间的相互关系。在此基础上，讨论了三角面多面体与有三连接顶的五角面－六角面多面体（如三角六十面体与截顶二十面体）以及它们在四面体密堆结构（液体，非晶态，准晶及Ｆｒａｎｋ－Ｋａｓｐｅｒ相）、Ｃ６０全碳分子、球状病毒衣壳及圆顶建筑中的应用。

Wonderful Polyhedra

After an introduction to the history and geometrical features of regular (Platonic) polyhedra and facial-regular (Archimedean) as well as vertical-regular semiregu- lar polyhedra, a brief discussion is presented of the deltahedra and the penta-hexagonal polyhedra, such as the hexacontahedron and the truncated icosahedron, and their applica- tions in tetrahedrally close-packed structures (liquid, amorphous, quasicrystal, and Frank- Kasper phases), C60, spherical virus capsids, and geodesic domes.