Baiocchi Figures for Polypexes

A Baiocchi figure is a figure formed by joining copies of a polyform and having the maximal symmetry for the polyform's class. For polypexes, that means the symmetry of a regular decagon, or 10-way rotary with reflection. If a polypex lacks apothemal bilateral symmetry, its Baiocchi figures must be Galvagni Figures or contain Galvagni Figures.

Claudio Baiocchi proposed the idea in January 2008. Baiocchi figures first appeared in Erich Friedman's Math Magic for that month.

Here are minimal known Baiocchi figures for polypexes with 1 to 3 cells. Not all these solutions are uniquely minimal.

Monopex

Alexandre Muñiz found this Baiocchi Figure.

Dipexes

Tripexes

10 Tiles

20 Tiles

30 Tiles

40 Tiles

50 Tiles

70 Tiles

Unsolved

Last revised 2024-11-03.


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Col. George Sicherman [ HOME | MAIL ]