The diagrams below are a map of a solution to packing the 166 hexacubes into a 10x10x10 cube.
Since the hexacube set has a total volume of 996, a square tetracube has been placed in the
center of the top face to complete the cube.
This solution has the interesting feature that no piece occupies more than two layers. The upper
eight layers (roughly) were packed by hand, while 31 pieces on the bottom three levels were placed
by a computer program.
How to Read the Map:
The heavy outlines show the piece borders on each layer. The thin outlines show the piece borders
on the next higher layer. Crosshatching shows a vertical connection between those layers. Since
no piece occupies more than two layers, the outlines and crosshatching are enough to completely
describe a piece. As an additional aid, the piece names (of the piece
in the current layer) are included in each location.
Layer 10 (top)
Layer 9
Layer 8
Layer 7
Layer 6
Layer 5
Layer 4
Layer 3
Layer 2
Layer 1 (bottom)
