Galvagni Figures for Polyhepts

A polyhept is a figure made of regular heptagons joined edge to edge. A Galvagni figure is a figure that can be tiled by a polyform in more than one way—a kind of self-compatibility figure. Galvagni figures first appeared in Erich Friedman's Math Magic for November 2004.

Here are minimal known Galvagni figures for polyhepts. The black tiles have no Galvagni figures. The gray tiles have no known Galvagni figures.

Monohept

Dihept

Trihepts

Tetrahepts

Hypersymmetric

Pentahepts

Hypersymmetric


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