# Galvagni Figures for Polyprisms

A *polyprism* is a solid figure formed by joining congruent
equilateral-triangular prisms face to face.
They were first studied by Brendan Owen, who named them
*stacked polyiamonds*.
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 polyprisms of orders 1 to 6.
Polyprisms may be reflected.
Black polyprisms have no Galvagni figures.
Gray polyprisms have no known Galvagni figure.
Solutions shown are not necessarily unique.

### 2 Tiles

### 3 Tiles

### 4 Tiles

### 6 Tiles

### 24 Tiles

### Impossible or Unknown

Last revised 2014-09-30.

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Polyform Compatibility
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Polyform Curiosities

Col. George Sicherman
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