# Galvagni Figures for Polydodecs

A *dodecagon* is a polygon with 12 sides.
A *polydodec* is a figure made of regular dodecagons 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 polydodecs.
The black tiles have no Galvagni figures.

### Hypersymmetric Variants

### 2 Tiles

### 3 Tiles

### 4 Tiles

### 5 Tiles

### 6 Tiles

### 8 Tiles

### 12 Tiles

### Unsolved

### Hypersymmetric Variants

Last revised 2010-10-06.

Back to Galvagni Compatibility
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Polyform Compatibility
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Polyform Curiosities

Col. George Sicherman
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