Balancing cubes can be a hard job, but balancing blocks is quite another league. The twelve planar pentacubes can be assembled in a 3x4x5 block in many different
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ways. We designed a stand for balancing this block. There are 31,520 ways to put the pieces in the block and three non-symmetric ways to put the block on the stand, one of which will topple. Of a total of 63,040 assemblies only one will keep standing.
To find this unique solution is the puzzle we named Prancing Pentas.
