正二十面體正五角十二面體的幾何參數及其在準晶格中的應用

Geometrical Parameters to Icosahedron, Ortho-pentagonal Dodecahedron and Their Applications in Quasicrystal Lattices

摘要: 本文推導出正二十面體和正五角十二面體的幾何參數,探討了平面理想準晶格模型12的兩種空間結構,得到了一種以五角十二面體為特征的平面格子,利用所得到的幾何參數,也可對以上兩種多面體為基本單位的其它空間結構進行研究。

Abstract: In this paper the geometrical parameters to icosahedron and orthopen-tagnal dodecahedron are obtained.Two kinds of 3-dimension quasicrystal lattices are discussed. A new kind of lattices with the characters of or-thopentaqnal dodecahedron is given.By the geometrical parameters,otherkinds of 3-dimension quasicrystal will be dealt with.