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 9

Layer 8

Layer 7

Layer 6

Layer 5

Layer 4

Layer 3

Layer 2

Layer 1 (bottom)