# Galvagni Figures & Reid Figures for Octominoes

A *octomino* is a figure made of eight squares 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.
A *Reid figure* is a Galvagni figure without holes.
Some of these figures were found by
Michael
Reid of the University of Central Florida.

For pentominoes, see Galvagni Figures & Reid Figures
for Pentominoes.

For hexominoes, see Galvagni Figures & Reid Figures
for Hexominoes.

For heptominoes, see Galvagni Figures & Reid Figures
for Heptominoes.

Here are minimal known Galvagni figures and Reid figures for octominoes.

## Galvagni Figures

### 2 Tiles

### 3 Tiles

### 4 Tiles

### 6 Tiles

### 8 Tiles

### 10 Tiles

### 12 Tiles

### 16 Tiles

### 20 Tiles

### 28 Tiles

### 40 Tiles

### 64 Tiles

### 72 Tiles

### 80 Tiles

### Unsolved

### Impossible

### Hypersymmetric Variants

## Reid Figures

### Hypersymmetric Variants

*Last revised 2011-09-24.*

Back to Galvagni Compatibility.

Back to Polyform Compatibility.

Back to Polyform Curiosities.

Col. George Sicherman
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