Cell Shifts for Heptominoes

Introduction.

Two polyominoes can be tiled with copies of the same heptomino. The polyominoes 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. Most of these figures were constructed by Mike Reid. Mike also proved that the black figures have no solution.

For smaller polyominoes, see Cell Shifts for Polyominoes.

1

1√2

2

3

4

3√2

6

7

7√2

12

Unsolved

Impossible

Last revised 2008-11-11.

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Col. George Sicherman [ HOME | MAIL ]