Baiocchi Figures for Polyhexes
A Baiocchi figure is a figure
formed by joining copies of a polyform and having the maximal
symmetry for the polyform's class.
For polyhexes, that means the symmetry of a regular hexagon,
or 6-way rotary with reflection.
If a polyhex lacks apothegmic bilateral symmetry (see illustration at
right), its Baiocchi figures
must be Galvagni figures or contain Galvagni figures.
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 polyhexes
of orders 1 through 6.
Not all these solutions are uniquely minimal.
The red figures were found by Mike Reid.
See Polyhex Oddities.
For holeless variants, see Heptahex
Last revised 2017-02-20.
Back to Baiocchi Figures
< Polyform Compatibility
< Polyform Curiosities
Col. George Sicherman