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 is partitioned into ten identical slabs, plus a plank. The 4x10x1 plank is centered
in the top layer of the cube. The slabs are each 5x10x2, with a 2x2x1 chunk removed from the
corner. The slabs can be arranged in 10! orders, and the upper plank can be flipped over; this
represents over 7 million different solutions.
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.
4x10x1 plank
Slabs 1 and 2
Slabs 3 and 4
Slabs 5 and 6
Slabs 7 and 8
Slabs 9 and 10
