This puzzle is a 3 dimensional counterpart of the pentomino (or if you wish the tangram). A cube 3 x 3 x 3 is divided to 7 pieces. The 6 of them consist of 4 basic cubes, the last one consist of 3 cubes. The following photo shows all of the pieces.
Likewise pentomino or tangram, the pieces of soma cube can be arranged into several different configurations.
It is also possible to arrange all the pieces into a cube and put it into a box.
The soma cube was developed in 1936 by the Danish poet and puzzle creator Piet Hein. The puzzle was introduced into origami by Steve Biddle. Model is based on book: Steve and Megumi Biddle, The New Origami, St. Martin's Press, New York, 1993, ISBN 0-312-08037-9.
The model is built of classic Sonobe module. The box is designed by Tomoko Fuse.
Different configuration of pieces was described by Polish mathematician Hugo Steinhaus in his Mathematical Caleidoscope (Oxford University Press, New York, 1969) The cube was divided into 6 pieces. The first 3 of them consist of 4 cubes, the other 3 consist of 5 cubes. The following photo shows all of the pieces.
And here you can see completed puzzle.