The following are the 8 tetracubes which can be made by combining 4 cubes. In all, 32 unit cubes are used. That would form two layers of a 4x4x4 cube.
If you are able to use each tetracube once to form this arrangement I'd be pleased to receive your solution. If it can't be done indicate why.
Note: in the graphic F4, G4 and H4 are above the cubes that form the lower layer. Also, the G and H tetracubes 'screw' one to the left and the other to the right.
A solution might take the form of 2 4x4 grids using letters only; numerals really only assist in orienting oneself.
I can't decide which way looks better but here's a solution I found. I'm pretty sure there are others.
|F F|B B| |F|B B|A|
| +-+---+ +-+-+-+ |
|F|E E E| |C C|E|A|
+-+---+-+ | +-+-+ |
|G|D D|H| |C|D D|A|
| +-+-+ | | +-+-+ |
|G G|H H| |C|G|H|A|
Posted by Jer
on 2007-05-09 12:25:58