Cell Shifts for Heptahexes

Introduction

Two polyhexes can be tiled with copies of the same heptahex. The polyhexes differ in only one cell. How near can the unmatched cells lie? If you can find a shorter shift than is shown here, or an equal shift with fewer tiles, please let me know.

For hexahexes, see Cell Shifts for Hexahexes. For smaller polyhexes, see Cell Shifts for Polyhexes.

1

7 Tiles or Less

8–10 Tiles

11–13 Tiles

14 Tiles or More

1√3

9 Tiles or Less

10 Tiles or More

2

3

2√3

3√3

6

7

6√3

12

7√3

18

Unsolved

Impossible


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Col. George Sicherman [ HOME | MAIL ]