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.

Monomino