convex polyhedron, n edges, one vertex with four edfes and each other with 3
Source: Czech and Slovak Olympiad 1984, National Round, Problem 5
September 11, 2024
combinatoricscombinatorial geometrygeometry3D geometrypolyhedron
Problem Statement
Find all natural numbers for which there exists a convex polyhedron with edges, with exactly one vertex having four edges and all other vertices having edges.