# Pinwheel Octomino Compatibility

## Introduction

The *pinwheel octomino* is a polyomino made of eight squares
arranged with four in a square and the other four joined at the
counterclockwise ends of the square's edges.
The *compatibility problem*
is to find a figure that can be tiled with each of a set of polyforms.
Here I show minimal known compatibility figures for the pinwheel
octomino and other polyominoes.
If you find a smaller solution or solve an unsolved case,
please let me know.

All but one of the solutions for trominoes, tetrominoes, and pentominoes
were found by Giovanni Resta
and can be seen at his monumental website
Polypolyominoes.

Mark Smith suggested this page.

{ Domino
| Trominoes
| Tetrominoes
| Pentominoes
| Hexominoes
| Heptominoes
| Octominoes
| Enneominoes
}

Last revised 2016-02-26.

Back to Pairwise Compatibility
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Polyform Compatibility
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Polyform Curiosities

Col. George Sicherman
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