3-color cube in New Logic/Math Puzzles Posted 21 hours ago · Report reply On 12/15/2017 at 1:43 AM, rocdocmac said: If each side of a tetrahedron is an equilateral triangle painted white or black, five distinct color patterns are possible: (1) all sides white, (2) all black, (3) just one side white and the rest black, (4) just one side black and the rest white, and (5) two sides white, while the other two are black. If each side of a cube is painted red or blue or yellow, how many distinct color patterns are possible? I'll just point out the interesting fact that with a tetrahedron, saying "two sides white" exhausts all permutations, since all pairs of sides share an edge. But with the cube this is not the case. So, I'm wondering what "patterns" is intended to mean: combinations? or permutations?