Baiocchi Figures for Polydodecs

A polydodec, or polydodecagon, is a figure formed by joining regular dodecagons edge to edge. A Baiocchi figure is a figure formed by joining copies of a polyform and having the maximal symmetry for the polyform's class. For polydodecs, that means the symmetry of a regular dodecagon, or 12-way rotary with reflection. If a polydodec lacks diagonal 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 polydodecs of orders 1 through 4. Not all these solutions are uniquely minimal.






Last revised 2012-08-26.

Back to Baiocchi Figures < Polyform Curiosities
Col. George Sicherman [ HOME | MAIL ]