coloring a polyhedron
Source: Brazil TST 1999 Test 2 P4
April 30, 2021
geometry3D geometry
Problem Statement
Assume that it is possible to color more than half of the surfaces of a given polyhedron so that no two colored surfaces have a common edge.(a) Describe one polyhedron with the above property.
(b) Prove that one cannot inscribe a sphere touching all the surfaces of a polyhedron with the above property.