Hex Wrench


A problem by Russian mathematician Viktor Prasolov: This hexagon has been divided into black and white triangles so that any two triangles either have a common side (in which case they’re painted different colors) or a common vertex or they have no points in common, and each side of the hexagon is a side of one of the black triangles. Prove that no such partition exists for a 10-gon.

Click for Answer