摘要

我們都知道四邊等長是菱形，因此菱形多面體就是由許多菱形組成的多面體。其中最常見的是菱形十二面體，以及菱形二十面體。我們在這裡分成三個要討論的主題：菱形多面體、不對稱的菱形多面體，以及動態的菱形多面體。我們都知道阿基米德多面體有十三個，Johnson多面體有九十二個，而菱形多面體卻有無限多個，因此我們無法一一做討論，只能歸類成這三主題做結合。此篇論文投影圖像皆用CABRI 3D軟體建構，在以下網頁中我們可以看到所有圖像的動態變化以及詳細製作過程。
http://140.114.32.33/d1/g9521614/g9521614/Rhombic%20polyhedra/index.htm

Abstract

It's been known that rhombus means four sides are equal. Therefore, rhombic polyhedra is a polyhedra made by a lot of rhombus. The familiar graphs are rhombic dodecahedra and rhombic triacontahedron. Now we divide topic into three parts, which are rhombic polyhedra , Asymmetric rhombic polyhedra, and animation rhombic polyhedra. We know that there are 13 Archimedean solids. There are 92 Johnson solids, but rhombic polyhedra is uncountable. We can't discuss each one of rhombic polyhedra, we just can categorize and combine into three topics. All of the graphic files are constructed by CABRI 3D, we can see all dynamic variation and the detail constructive processes in the following website: http://140.114.32.33/d1/g9521614/g9521614/Rhombic%20polyhedra/index.htm

References
(1) http://torina.fe.uni-lj.si/~izidor/RhombicPolyhedra/RhombicPolyhedra.html
(2) http://mathworld.wolfram.com/RhombicDodecahedron.html
(3) http://mathworld.wolfram.com/RhombicTriacontahedron.html
(4) http://torina.fe.uni-lj.si/~izidor/ElekRevija2/IntrodRhombic.html
(5) http://demonstrations.wolfram.com/FourKindsOfRhombicPolyhedra/