摘要
通过抽象代数知识,求出所有正多面体的旋转群.利用群对集合的作用,求出其元素的种类及个数.然后代入伯恩塞德公式,求得所有正多面体的顶点着色公式.
Using the knowledge of abstract algebra,the rotation groups of the regular polyhedron are determined.For the group acts on the set,the class and number of their elements is found out.Then it is substituted in Burnside formula,all vertex-coloring formulas of the regular polyhedron are determined.
出处
《商洛师范专科学校学报》
2005年第3期89-93,共5页
Journal of Shangluo Teachers College
关键词
正多面体
顶点着色
旋转群
不动点
伯恩塞德公式
regular polyhedron
vertex-coloring
rotation group
fixed point
Burnside formula
