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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Col. George Sicherman [ HOME | MAIL ]