MathDB

It is known that each vertex of the convex polyhedron

P

belongs to three different faces, and each vertex of

P

can be dyed black and white, so that the two endpoints of each edge of

P

are different colors. Proof: The interior of each edge of

P

can be dyed red, yellow, and blue, so that the colors of the three edges connected to each vertex are different, and each face contains two colors of edges.

Problem Statement