正二十面体正五角十二面体的几何参数及其在准晶格中的应用

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

    摘要
  • 摘要: 本文推导出正二十面体和正五角十二面体的几何参数,探讨了平面理想准晶格模型12的两种空间结构,得到了一种以五角十二面体为特征的平面格子,利用所得到的几何参数,也可对以上两种多面体为基本单位的其它空间结构进行研究。

     

    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.

     

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