Soma Cube Solutions

[+1] increment solution number
[+10] increase solution number by 10
[-1] decrement solution number
[-10] decrease solution number by 10
[cursor drag] move the cube around (center tumbles, periphery rotates)

The Soma Cube

The soma cube consists of 7 irregular pieces which can be put together to form a 3x3x3 cube in 240 different ways. The pieces are shown at the right of the display. The puzzle was invented by Piet Hein, a physicist interested in the structure of the nucleus of the atom. It has been the subject of multiple Martin Gardner columns in Scientific American.


The controls allow selection of Soma Cube solutions and rotation to view each solution from any angle. The solutions are numbered. One can change the solution by incrementing or decrementing the solution number by 1 or 10. The position of the cube in the viewing plane is changed (rotated) by grabbing a outside corner and dragging it to the new position. The position of the cube in the other dimensions is changed by grabbing the cube at any point near the center and dragging the point to the new desired position. The controls switch about 1/2 way out to the periphery. You will get used to it.


McKeeman, W.M., A Formal Model for Space-filling Puzzles, Machine Intelligence vol.8, Elcock&Michie (ed.), Wiley (1977) pp 86-93
Conway, Berlekamp and Guy, Winning Ways, vol. 2.

Sources (the applet) (the precomputed solutions)