Baiocchi Figures for Polydecs

A polydec, or polydecagon, is a figure formed by joining regular decagons 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 polydecs, that means the symmetry of a regular decagon, or 10-way rotary with reflection. If a polydec lacks apothegmal 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 polydecs of orders 1 through 4. Not all these solutions are uniquely minimal.

Monodec

Didec

Tridecs

Tetradecs

Last revised 2011-08-30.


Back to Polyform Curiosities.
Col. G. L. Sicherman [ HOME | MAIL ]