# Galvagni Figures for Polyaboloes

A *polyabolo* is a plane figure formed by
joining equal isosceles right triangles along equal edges.
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 polyaboloes.
Some polyaboloes have solutions that are technically Galvagni
figures but are not polyaboloes.
They are formed by joining parallelograms to make voided rhombuses.

### Impossible

### Non-polyabolo Solution

### Mirror-Symmetry Variant

#### Holeless

### Impossible

### Non-polyabolo Solution

### Holeless Variant

### Impossible

### Non-polyabolo Solutions

### Holeless Variants

### Mirror-Symmetric Variants

### Impossible

### Non-polyabolo Solution

### Mirror-Symmetric Variants

### Unsolved or Impossible

### Non-polyabolo Solutions

Last revised 2014-10-28.

Back to Galvagni Compatibility
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Polyform Compatibility
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Polyform Curiosities

Col. George Sicherman
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