论文标题
在柏拉图固体上的顶点到顶点测量学
Vertex to vertex geodesics on platonic solids
论文作者
论文摘要
我们基于对称性提供了一个简单的证据,即从顶点到本身,四面体,八面体和二十面体中没有大地测量学。
We give a simple proof based on symmetries that there are no geodesics from a vertex to itself in the cube, tetrahedron, octahedron, and icosahedron.