The object of this puzzle is to reconstruct a cube from ten
tetrahedral pieces. You can make the ten tetrahedral puzzle pieces
by printing this page, and cutting out the shapes shown below. Tape
the edges of each piece together to make a tetrahedra.
Remember to make four copies of the first piece. (This is also
hint about how to do one of the decompositions).
Piece one (make 4):
How many different ways of assembling a cube out of these pieces
can you find? You should find at least 3 different decompositions
before you give up, and look at the answer.