Abstract

The seven “Soma pieces” are produced as irregular combinations of 27 identical cubes, and may be joined to form a “Soma cube”. The position of each Soma piece is expressed mathematically, and all possible positions are studied by computer programming along with geometrical considerations. It is found that the Soma cube may be constructed in 480 non-congruent ways: that excludes solutions which may be generated by rotations of the whole Soma cube. The solutions may be divided into 240 symmetrical pairs.

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