Knight's-Move Cell Shifts for Polyominoes
Two figures can be tiled with copies of the same
The figures differ in only one cell.
Can the different cells lie a knight's move apart?
Thanks to Jenard Cabilao for suggesting this problem.
Here I show minimal known solutions for polyominoes of orders 3, 5, and 7.
Cell shifts for polyominoes of even order must preserve parity,
so they cannot be a knight's move apart.
If you can solve any of the unsolved cases,
please let me know.
Last revised 2014-02-14.
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Col. George Sicherman