# Galvagni Figures for Polygems

A *gem*
is a plane figure formed by joining four adjacent drafter cells
in the same hexagon cell as shown:

It is one-third of a regular hexagon.

A polygem is a figure made by joining gems
on the polydrafter grid.
The terms are due to
Abaroth.

A *Galvagni Figure* is a figure that can be tiled by a polyform
in more than one way—a kind of self-compatibility figure.
Here I show minimal known Galvagni Figures for polygems.
If you find a smaller solution or solve an unsolved case,
please write.

See also Polygem Oddities.

## Monogem

## Digems

### Impossible

## Trigems

### Mirror Variant

### Impossible

## Tetragems

### 2 Tiles

### 3 Tiles

### 4 Tiles

### 5 Tiles

### 6 Tiles

### 9 Tiles

### 12 Tiles

### 18 Tiles

### Unsolved

### Impossible

*Last revised 2023-03-25.*

Back to Galvagni Compatibility
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Polyform Compatibility
<
Polyform Curiosities

Col. George Sicherman
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