# Holey Heptomino Compatibility

## Introduction

The *holey heptomino* is the smallest polyomino with a hole.
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 holey heptomino
and other polyominoes.
If you find a smaller solution or solve an unsolved case,
please let me know.

Compatibility with trominoes, tetrominoes, and pentominoes
was first solved by Giovanni Resta.
You can see his work at his monumental website
Polypolyominoes.

Thanks to Jenard Cabilao for suggesting this problem.

## Domino

## Trominoes

## Tetrominoes

## Pentominoes

## Hexominoes

## Heptominoes

## Octominoes

Last revised 2015-04-17.

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Polyform Compatibility
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Polyform Curiosities

Col. George Sicherman
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