All 240 solutions
I offer all 240 solutions for downloading, likewise the source code in C++ with the author's agreement. Positions
of the Soma Pieces 3 and 2 top
Piece 2 and 3 contain a 1x1x3 bar. The shapes of the Soma cubes result in the following statements. Piece 2 forms 0,1 or 2 corners.
Now there are two possibilities:
Results:
More well known figures are sofa, bed, bathtub, gate, gravestone, and tower.
There are innumerable figures of Soma cubes. This is proved by the following thoughts about designing new ones.
If you want to play with Soma cubes you have to construct them by hand. The simpliest way is to buy a length of wood which is square in cross-section, cut it into cubes and glue the cubes together. Another method is glueing dice. The best idea is to use a two component glue, because it needs time to harden. Then you can form the Soma pieces without having to hurry. A cheap but difficult method is constructing them from
a sheet of paper. You have to design the base of every Soma cube and fold
it.
You can buy Soma cubes. Parker Brothers sold the Soma cubes in 1969. Maybe they protected the name "Soma cube" by copyright. In Germany you can buy them on Christmas fairs, mostly without a name or with other names like Ostfriesenwürfel ;-). Another version is Babylon. This is the "Rehmsche Spielsatz". In the United States there is a game using Soma cubes,
called
(Soma schräg, HOLZINSEL 56290 Beltheim, Art.-Nr.
019/1)
The problem is to form again a 3x3x3 cube of all pieces.
Piet Hein (1905-1996) was a poet and scientist with wide ranging interests. J.H. Conway and M.J.T. Guy worked out in 1961 that there
are 240 possible ways to form a 3x3x3-cube.
The Soma cubes became famous by its publication in the
magazine
Rehm's Cube Set There is the problem: Which polycubes with 3 or 4 cubes form a 3x3x3 cube?
All sets except the combination II2..45678 (3 is missing) leads to a cube (5). The numbers inside the brackets is the number of solutions (Torsten Sillke, Rehm's 3-Cubes, URL below). Hollow Cube
(This idea had Volker Latussek from Würzburg.)
You can imagine that there are more sums between 27=1+1+...+1 and 27=9+9+9, which are suitable for puzzles. I introduce some puzzles in this chapter, which I found
more at random.
Diabolical Cube - Hoffmann (27=2+3+4+5+6+7)
Mikusinski's Cube (27=4+4+4+5+5+5)
Der vertrackte Würfel- The tricky cube (27=4+4+4+5+5+5), "Toys pure", Art.-Nr.:HS 630
Loops cube (27=4+4+4+5+5+5), designed and made by René Dawir
http://www.zahlenjagd.at/
Matroid Matheplanet
Thimo Rosenkranz
Wikipedia
English Christian Eggermont
Eric W. Weisstein, (MathWorld) Soma Cube pelikanpuzzles.eu
Stewart T. Coffin
Thorleif Bungård
Torsten Sillke
Wikipedia
Youtube
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