Galvagni Figures for Polydecs

A polydec is a figure made of regular decagons 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 polydecs. The black tiles have no Galvagni figures.

Monodec

Didec

Tridecs

Tetradecs

Hypersymmetric

Pentadecs

2 Tiles

3 Tiles

4 Tiles

5 Tiles

6 Tiles

8 Tiles

10 Tiles

20 Tiles

Unsolved

Hypersymmetric

Last revised 2010-07-13.


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