MathDB
TOT 261 1990 Spring A S5 triangular section if convex polyhedron

Source:

June 8, 2024
combinatorial geometrygeometry3D geometrypolyhedron

Problem Statement

Does there exist a convex polyhedron which has a triangular section (by a plane not passing through the vertices) and each vertex of the polyhedron belonging to (a) no less than 5 5 faces? (b) exactly 55 faces?
(G. Galperin)