Five-vertex convex polyhedra
Source: KöMaL A. 737
January 21, 2019
combinatoricsgraph theoryconvexpolyhedronpoint set3-Dimensional Geometrykomal
Problem Statement
points are given in space such that no four of them lie in the same plane. Consider those convex polyhedra with five vertices that have all vertices from the given set. Prove that the number of such polyhedra is even.