Baiocchi Figures for Polycubes

A Baiocchi figure is a figure formed by joining copies of a polyform and having the maximal symmetry for the polyform's class. For polycubes, that means cubic symmetry. Claudio Baiocchi proposed the idea in January 2008. Baiocchi figures first appeared in Erich Friedman's Math Magic for that month.

Below are minimal known Baiocchi figures for polycubes of orders 1 through 5. Not all these solutions are uniquely minimal.

For Baiocchi figures for pentacubes with an odd number of tiles, see Pentacube Oddities.







The solutions for four chiral hexacubes marked with an asterisk (*) use reflected tiles. See below for variant solutions that do not require reflection.

3 Tiles

8 Tiles

12 Tiles

16 Tiles

18 Tiles

20 Tiles

24 Tiles

Variants Without Reflected Tiles

Last revised 2016-01-22.

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Col. George Sicherman [ HOME | MAIL ]