正多面体对称群矩阵元素的MATLAB自动化算法  

MATLAB AUTOMATIC CALCULATION OF MATRIX ELEMENTS OF REGULAR POLYHEDRAL SYMMETRY GROUP

作　　者：余涛[1] 欧阳芬[1] 易华[1] 颜昌元 

机构地区：[1]井冈山大学数理学院,江西吉安343009

出　　处：《井冈山大学学报（自然科学版）》2017年第5期17-19,共3页Journal of Jinggangshan University (Natural Science)

基　　金：江西省教育厅科技计划项目(GJJ160758);吉安市软科学计划项目(吉市科计字[2012]32-7);井冈山大学博士科研启动基金项目(JZB11002);井冈山大学自然科学科研基金项目(JZ11001)

摘　　要：利用万花筒和基础根系统原理,结合正多面体的几何特征,建立了具有正多面体群对称性的球面tiling剖分方法,并借助Matlab工具,实现正多面体群矩阵元素的计算自动化。本文方法可进一步推广到4维空间,对正多胞体做等价对称剖分,并计算其成千上万的对称群矩阵元素。Using the principles of kaleidoscope and fundamental root system and combined with the geometry character of polyhedral, we realize the spherical tilings that have symmetries of regular polyhedral group. Based on Matlab, an automatic computation method of matrix elements of regular polyhedral groups is presented. The proposed method could be extended to the regular polytopes in 4 dimensional spaces, which is used to calculate the tens of thousands of symmetry matrix elements.

关 键 词：对称群 正多面体 基础根系统 万花筒原理 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]