Fats Lomino 4
Design and Copyright : George Bell (2011).
Pieces | 6 |
Selection | complete |
Goal | 4×4×4 |
Holes | 0 |
Solutions | 5 |
Here is the idea:
Take all L-shaped polycube pieces of width 1 (called Lominoes) which fit in an n × n square. There are n(n-1)/2 pieces and their total volume is (n^{3}-n)/2. Now make them all 2 tall (twice as thick). The total volume is now n^{3}-n. Finally, take one of the pieces of volume 2n and make it 3 tall. We now have n(n-1)/2 pieces with total volume n^{3}.
Pieces | 7 |
Selection | complete |
Goal | 4×4×4 |
Holes | 0 |
Solutions | 107 |
Jan 22, 2012 by
k16@chiba.email.ne.jp