# Voided Square Octomino Compatibility

## Introduction

The *voided square octomino* is a polyomino made of eight squares
joined to form a 3×3 square with a hole in the center.
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 voided square
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.

## Domino

## Trominoes

## Tetrominoes

## Pentominoes

## Hexominoes

## Heptominoes

## Octominoes

## Rectangular Variants

Last revised 2015-04-24.

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Polyform Curiosities

Col. George Sicherman
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