game, painting tetrahedron faces
Source: France 1990 P2
May 18, 2021
geometry3D geometrytetrahedroncombinatoricsgame
Problem Statement
A game consists of pieces of the shape of a regular tetrahedron of side . Each face of each piece is painted in one of colors, and by this, the faces of one piece are not necessarily painted in different colors. Determine the maximum possible number of pieces, no two of which are identical.