Multiple Compatibility for Polyhexes

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-hexes. If you find a smaller solution or one that can be tiled by more n-hexes, please write.

For polyominoes see Multiple Compatibility for Polyominoes. For polyiamonds see Multiple Compatibility for Polyiamonds.

Trihexes

3 Trihexes

Tetrahexes

4 Tetrahexes

6 Tetrahexes

Pentahexes

5 Pentahexes

7 Pentahexes

5A, 5D, 5H, 5J, 5P, 5Q, 5X

Solutions Using Other Pentahexes

5E, 5K, 5R, 5Y

5I, 5L, 5N

5C, 5V

5T, 5W, 5Z

See below under 8 Pentahexes.

5S, 5U

See below under 10 Pentahexes.

8 Pentahexes

5E, 5F, 5H, 5K, 5P, 5Q, 5W, 5X

Solutions Using Other Pentahexes

5A, 5D, 5L, 5R, 5T, 5Y

5N, 5Z

5C, 5V

5J, 5S, 5U

See below under 10 Pentahexes.

10 Pentahexes

5D, 5J, 5K, 5N, 5P, 5Q, 5S, 5U, 5Y, 5Z

Solutions Using Other Pentahexes

5A, 5F, 5H, 5R

5A, 5E, 5H, 5L, 5X

5I, 5V

11 Pentahexes

5D, 5E, 5F, 5H, 5K, 5N, 5P, 5Q, 5W, 5X, 5Z

Solutions Using Other Pentahexes

5J, 5L, 5S, 5U, 5Y, 5Z

12 Pentahexes

13 Pentahexes

Hexahexes

10 Hexahexes

15 Hexahexes

20 Hexahexes

24 Hexahexes

Last revised 2026-05-01.

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Col. George Sicherman [ HOME | MAIL ]