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 Variants

Pentahepts

Hypersymmetric Variants

Hexahepts

2 Tiles

3 Tiles

4 Tiles

6 Tiles

7 Tiles

8 Tiles

10 Tiles

14 Tiles

16 Tiles

28 Tiles

42 Tiles

56 Tiles

Unsolved

Hypersymmetric Variants

Last revised 2011-10-01.


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