A TetraCube is a solid shape
made by joining four identical cubes together, face to face.
Use four cubes (dice
work well enough if you have them), and a systematic approach, to find as many
different tetracube solids as you can. Then draw them on Isometric paper.
Which two tetracubes
will fit together to make a 2 by 2 by 2 cube ?
Which four tetracubes
will fit together to make a 2 by 2 by 4 cuboid ? There may be several ways to do
Can you see how to
put 6 of these together, with a ‘tri-cube’ to make up the volume to 27
units, to make the 3 by 3 by 3 ‘Soma’ Cube ? You can use any of the
tetracubes you have found, and either of the tri-cube possibilities…
The Big One
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