This packing fills a 10x10x10 cube with 166 hexacubes and one 2x2x1 tetracube.
The pieces have been partitioned into ten chunks, 8 of which form the coners of
the cube, surrounding a central core comprised of the other two chunks.
Each of the 8 corner chunks consist of 19 hexcubes. These are arranged to fill
a 5x5x5 cube with 11 pieces missing from the interior corner. The corner chunks
are fully interchangable and can be rotated 120 degrees with respect to the
cube's long axis.
Exchanging and reorienting the corner chunks gives 264,539,520 "different"
solutions for the 10x10x10.
The two central chunks each have 7 hexacubes. Together, these two chunks from
a 4x4x4 cube with a raised 2x2x1 on five of the six faces (the chunks split the
core down the middle). The sixth face can be covered by the single tetracube.
The two panels below allow you to step through the solutions, either with all
the chunks side-by-side, or with the chunks packed into the whole 10x10x10.
Clicking on "previous" or "next" advances through the solution images. If the
images load slowly in your browser, you can first step slowly through the
solutions backwards, allowing hte images to load. Once all the images have
loaded into your browser's cache, you should be abe to step quickly through the
solutions in either direction.
