Plato conjectured each of these elements to be made up of a certain platonic solid : the element of earth would be a cube , of air an octahedron , of water an icosahedron , and of fire a tetrahedron 柏拉图推测每一种元素都是由某些理想立方体组成：地元素是由立方体组成，风元素是一个八面体，水元素是二十面体，火元素是四面体。
In plato ' s “ symposium ” , aristophanes argues that the origins of love lie in the search for symmetry , while pythagoras and theaetetus ? who discovered the icosahedron , the geometric shape with 20 triangular faces ? explored the symmetries of geometric figures 在柏拉图的《会饮篇》中，阿里斯托芬提出爱的缘起就在于对对称的寻觅，而毕达哥拉斯和发现由二十个三角形面组成的二十面体的泰阿泰德则探究几何形体的对称。
This form of construction is strong and has the additional advantage of enclosing a given volume with the least possible use of materials . geodesic domes are actually derived from regular polyhedra . those that are derived from the dodecahedron and the icosahedron have joints where 5 distinct triangles meet 由正十二或正二十面所建而成的短程线圆顶特色是当中的一些接驳点由五个三角形组成而由正八面体所建立的圆顶则可以分割成四分之一或四分之三个。
This form of construction is strong and has the additional advantage of enclosing a given volume with the least possible use of materials . geodesic domes are actually derived from regular polyhedra . those that are derived from the dodecahedron and the icosahedron have joints where 5 distinct triangles meet 由正十二或正二十面所建而成的短程线圆顶特色是当中的一些接驳点由五个三角形组成；而由正八面体所建立的圆顶则可以分割成四分之一或四分之三个。
The structure of rhn , ptn clusters for n 13 are very similar and both of these two kinds of clusters have a tendency evolving to icosahedron . for larger clusters when n > 13 , the structures of ptn show disorder characteristic but rhn keep in order structure . with the increasing of cluster size , the total binding energies and coordination numbers for rhn , ptn ( n = 2 - 20 ) clusters increase monotonously 对于rh _ n ， pt _ n ( n = 2 - 20 )团簇，当n 13时，两种团簇具有相似的几何结构，都从密堆积结构向二十面体结构演化；当n 13时，铑团簇的基态结构倾向于有序结构，而铂团簇的基态结构则倾向于无序结构。
We find when cooling rate is fast , with the temperature decresing , the number of icosahedron and the relative numbers of 1551 , 1541 bond types related to the icosahedron decrease obviously ; the total number of 1421 , 1422 bond types related to the cubic ( fcc , bcc ) and hcp structures increase obviously ; and the total number of 1311 , 1301 and 1201 bond types related to the rhombohedral structure increase remarkably , and gradually play a dominant role 发现在冷速很快时,随着温度的降低,在ga的微观结构中,二十面体及与二十面体相关的1551 , 1541键型数目明显下降;与立方体( fcc , bcc ) ,六角密集( hcp )结构相关的1421 , 1422键型数目明显增加;而与菱面体相关的1321 , 1311键型的数目却显著增加,逐渐占据优势。
In 1999 - 2000 , organisations that received three - year grants are chung ying theatre company , city contemporary dance company , hong kong ballet , hong kong sinfonietta , ming ri theatre and zuni icosahedron . one - year grants went to semi - professional arts organisations to assist them become professional with full - time artists andor management staff 一年计划专为规模较小、半专业的艺团而设，目的是协助他们发展成为专业艺团，拥有全职的艺术工作者及管理人员。
