Peculiar Cubes

	The Set There are 27 'peculiar cubes'. They're of the 'peg & hole' type, but for a clearer display, the holes have been replaced by red sockets. There's one blank cube. There's a pegged set of a 'one' and two 'two's', There's a holed set of a 'one' and two 'two's', There's a double set of cubes with three blank sides, both adjacent and 'in line', and all possible distributions of pegs & holes over the other three, The Solutions Not surprisingly the puzzle is to pack the set into a 3x3x3 cube. The two solutions are both of the most difficult type: with the blank cube in the center. For clarity the front- middle- and back-sections of the solutions have been colored differently. Leaving out the blank and the 'ones', the remaining 24 cubes allow 2x3x4 solutions. Using only the 20 'threes', a 2x2x5 block can be solved. Note that in this case the flat cubes must occupy the middle and the hooked the corners. One solution of each type is displayed.

MindSports