Baiocchi Figures for Polyiamonds

A Baiocchi figure is a figure formed by joining copies of a polyform and having the maximal symmetry for the polyform's class. For polyiamonds, that means the symmetry of a regular hexagon, or 6-way rotary with reflection. If a polyiamond lacks cell-axial bilateral symmetry (see illustration at right), 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 polyiamonds of orders 1 through 10. Not all these solutions are uniquely minimal.

Moniamond

Diamond

Triamond

Tetriamonds

Pentiamonds

Holeless Variants

Hexiamonds

Holeless Variants

Heptiamonds

Holeless Variants

Octiamonds

Holeless Variants

Enneiamonds

Holeless Variant

Dekiamonds

15 Tiles or Less

18 or 24 Tiles

More than 24 Tiles

Unsolved

Last revised 2015-10-17.


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Col. George Sicherman [ HOME | MAIL ]