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 8. Not all these solutions are uniquely minimal.

Moniamond

Diamond

Triamond

Tetriamonds

Pentiamonds

Holeless Variants

Hexiamonds

Holeless Variants

Heptiamonds

Holeless Variants

Octiamonds

Holeless Variants

Enneiamonds

2 Tiles

6 Tiles

12 Tiles

18 Tiles

24 Tiles

33 Tiles

36 Tiles

48 Tiles

54 Tiles

66 Tiles

72 Tiles

90 Tiles

96 Tiles

108 Tiles

Holeless Variants

Last revised 2023-12-21.


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Col. George Sicherman [ HOME | MAIL ]