正多面体顶点二染色时同色等边三角形个数的讨论  

The number of Equilateral triangles with the same colour in a Regular polyhedron with the vertices coloured with two colours

作　　者：徐士英[1] 

机构地区：[1]中国计量学院文理学院,浙江杭州310034

出　　处：《中国计量学院学报》2003年第1期61-63,共3页Journal of China Jiliang University

摘　　要：　证明对正二十面体顶点任意二染色,至少有四个同色等边三角形.In this paper, it is proved that for a regular icosahedron with the vertices coloured with two colours, it has at least four equilateral triangles whose vertices have the same colour.

关 键 词：正多面体 二染色 同色等边三角形 顶点 个数 图论 组合数学 

分 类 号：O157[理学—数学]