The hyperpentominoes are groupings of five hypercubes, joined by a cube, where the barycentres of each hypercube lie on a plane. They are only twelve, as the pentominoes and the solid pentominoes:

Unfortunately I don't know solutions for a 5x3x2x2 hyperspace. With the five hypertetrominoes you can fill a 5x4x2x2 hyperspace, as you see below:

Two sets of hyperpentominoes can fill a 6x5x2x2 box (automatic drawing):

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It isn't trivial!

First edition: Mar 18th, 2006 - Last revision: Mar 24th, 2006

Copyrights 2006 Livio Zucca