拓扑学是数学的一个分支,在二十世纪才成为一门独立的学科.但个别的拓扑问题欧拉早在十八世纪就开始研究了,著名的凸多面体的欧拉定理是第一个重要的拓扑学成果.定理对于任何凸多面体,设V是多面体的顶点数,F是面数,E是棱数,则 Topology, as a branch of mathematics, became an independent discipline in the twentieth century, but Euler’s theorem of the famous convex polyhedron was the first one that Euler’s unique topological problem began to study in the eighteenth century Theorem For any convex polyhedron, let V be the number of vertices of the polyhedron, F be the number of faces, E be the number of edges, then