Baiocchi Figures for Polypents

A Baiocchi figure is a figure formed by joining copies of a polyform and having the maximal symmetry for the polyform's class. For polypents, that means the symmetry of a regular decagon, or 10-way rotary with reflection. If a polypent 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. Károly Hajba first studied polypent Baiocchi figures and found many of the solutions below for orders 1–5.

Here are minimal known Baiocchi figures for polypents of orders 1 through 6. Not all these solutions are uniquely minimal.

Monopent

Dipent

Tripents

Tetrapents

Pentapents

Hexapents

Last revised 2011-08-31.


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Col. George Sicherman [ HOME | MAIL ]