Multiple Compatibility for Polyominoes

Introduction

A set of polyforms is compatible if there exists a figure that each of them can tile. Here are minimal figures that can be tiled by a given number of n-ominoes. Most are taken from Jorge Luis Mireles's defunct site Poly²ominoes. If you find a smaller solution or one that can be tiled by more n-ominoes, please write.

For sets of three pentominoes, see Livio Zucca's Triple Pentominoes. For polyiamonds, see Multiple Compatibility for Polyiamonds. For polyhexes, see Multiple Compatibility for Polyhexes.

Trominoes

2 Trominoes

Tetrominoes

3 Tetrominoes

4 Tetrominoes

5 Tetrominoes

Pentominoes

4 Pentominoes

5 Pentominoes

6 Pentominoes

Rodolfo Kurchan

Solutions Using Other Pentominoes

5N, 5U, 5W

5I

5X

5Z

7 Pentominoes

George Sicherman

Hexominoes

6 Hexominoes

9 Hexominoes

10 Hexominoes

Mike Reid

11 Hexominoes

Mike Reid

12 Hexominoes

Mike Reid

Heptominoes

9 Heptominoes

14 Heptominoes

Robert Reid

15 Heptominoes

George Sicherman

Last revised 2013-02-16.

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Col. George Sicherman [ HOME | MAIL ]