# 2×3 Hexomino Compatibility

## Introduction

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 2×3
rectangular hexomino and other polyominoes.
If you find a smaller solution or solve an unsolved case,
please let me know.
Compatibility with trominoes, tetrominoes, pentominoes, and hexominoes
(with one exception)
was first solved by Giovanni Resta.
You can see his work at his monumental website
Polypolyominoes.

### Impossible

### Holeless Variants

### Impossible

### Holeless Variant

### 6 Heptominoes, 7 Hexominoes

### 12 Heptominoes, 14 Hexominoes

### More Heptominoes and Hexominoes

### Unsolved

### Impossible

### 3 Octominoes, 4 Hexominoes

### 6 Octominoes, 8 Hexominoes

### More Octominoes and Hexominoes

Last revised 2015-11-10.

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Polyform Compatibility
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Polyform Curiosities

Col. George Sicherman
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