Baiocchi Figures for Polyocts

A Baiocchi figure is a figure formed by joining copies of a polyform and having the maximal symmetry for the polyform's class. For polyocts, that means the symmetry of a regular octagon, or 8-way rotary with reflection. If a polyoct 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. Károly Hajba first studied polyoct Baiocchi figures and found many of the solutions below.

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

Monoct

Dioct

Triocts

Tetrocts

Pentocts

Last revised 2011-08-30.


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Col. George Sicherman [ HOME | MAIL ]