# 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.

### Hypersymmetric

### 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
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