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.

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Col. George Sicherman [ HOME | MAIL ]