# Triominoid Compatibility

A *triominoid* (or *trominoid*) is
a solid figure formed by joining
three unit squares edge to edge at straight or right angles in three dimensions.
There are nine triominoids, not counting reflections:

A *compatibility figure* is a figure that can be tiled by
any of a set of two or more polyforms.
Here are minimal compatibility figures for pairs of triominoids.
They are not all uniquely minimal.

Kohfuh Satoh (佐藤洸風) designed a puzzle set
consisting of the 11 one-sided triominoids.

## 2 Tiles

## 3 Tiles

## 4 Tiles

## 6 Tiles

## Crossless Variants

In these solutions the tiles do not interpenetrate.

Back to Pairwise Compatibility
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Polyform Compatibility
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Polyform Curiosities

Col. George Sicherman
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