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
non-standard piece names (of the piece in the
current layer) are included in each location.
Layer 10 (top)
Layer 1 (bottom)