Cell Shifts for Pentomino Pairs

Introduction

One figure can be tiled with one pentomino, and another figure can be tiled with another pentomino. The figures differ in only one cell. How near can the unmatched cells lie?

Here I show minimal shift vectors for pairs of pentominoes. The only unsolved cases are the pairs not known to be compatible: I+X, U+X, V+X, W+X, and X+Z. (For compatibility results see Pentomino Compatibility.)

If you find a smaller solution for any of these pairs, please let me know.

Solutions

Last revised 2011-05-15.

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Col. George Sicherman [ HOME | MAIL ]