Baiocchi Figures for Polyhepts

A Baiocchi figure is a figure formed by joining copies of a polyform and having the maximal symmetry for the polyform's class. For polyhepts, that means the symmetry of a regular 14-gon, or 14-way rotary with reflection. If a polyhept lacks apothegmic 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 polyhepts of orders 1 through 5. Not all these solutions are uniquely minimal.

Monohept

Dihept

Trihepts

Tetrahepts

Pentahepts

Last revised 2011-03-14.


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Col. George Sicherman [ HOME | MAIL ]