Conjoined Somas

Conjoined Somas is two sets of Soma Cube pieces, made from truncated octahedra. The red set forms one cube, and the green set another. The two sets fit through each other. Whereas each set is simple to solve (240 solutions for a regular Soma Cube), the combination is much harder, as most fitting combinations cannot be disassembled. Rick Eason computer that there exist 11 105 280 assemblies, than that from those at most 2 457 278 can be assembled, i.e. about 1 in 4.5 puzzles. Rick only checked at the piecewise level, whether each individual green piece from an assembly could be separated from each individual red one. So most likely there are even fewer assemblies that can be actually disassembled.

Watch the YouTube video.
Read at the Shapeways Forum.
Read more at the Non-Twisty Puzzles Forum.

Please order a 3D-printed do-it-yourself puzzle kit from Shapeways at this page (check with Oskar about screws and stickers), or contact Oskar directly if you are interested in obtaining a fully colored, stickered and assembled sample of this puzzle.