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Soma Cube

 The 'L' TricubePhoto courtesy of Wikipedia
 The 'T' TetracubePhoto courtesy of Wikipedia
 The 'L' TetracubePhoto courtesy of Wikipedia
 The 'S' TetracubePhoto courtesy of Wikipedia
 The Left Screw TetracubePhoto courtesy of Wikipedia
 The Right Screw TetracubePhoto courtesy of Wikipedia
 The Branch TetracubePhoto courtesy of Wikipedia
"The Soma cube is a solid dissection puzzle invented by Piet Hein in 1933 during a lecture on quantum mechanics conducted by Werner Heisenberg. Seven pieces made out of unit cubes must be assembled into a 3x3x3 cube. The pieces can also be used to make a variety of other interesting 3D shapes.
The pieces of the Soma cube consist of all possible combinations of four or fewer unit cubes, excluding all convex shapes (i.e., the 1x1x1, 1x1x2, 1x1x3, 1x1x4 and 1x2x2 cuboids). This leaves just one threeblock piece and six fourblock pieces, of which two form an enantiomorphic pair. A similar puzzle consisting solely of all eight fourblock pieces (including the cuboids) would contain 32 unit cubes and, thus, could not be assembled into a cube." Wikipedia
Soma Cube designs
