Baiocchi Figures for Polyenns

A Baiocchi figure is a figure formed by joining copies of a polyform and having the maximal symmetry for the polyform's class. For polyenns, that means the symmetry of a regular 18-gon, or 18-way rotary with reflection. If a polyenn lacks radial 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 polyenns of orders 1 through 4. Not all these solutions are uniquely minimal.

Monenn

Dienn

Trienns

Tetrenns

Pentenns

Last revised 2009-12-15.


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Col. George Sicherman [ HOME | MAIL ]