# The Magic Pentahex Pair Polyhex Oddity

A polyhex oddity is a symmetrical figure formed by an odd number of copies of a polyhex. Symmetrical figures can also be formed with copies of two different polyhexes.

A pentahex is a polyhex with 5 cells. There are 22 pentahexes, independent of rotation and reflection:

There are 231 pairs of pentahexes. Here I show how a polyhex with 295 cells and full symmetry can be tiled with at least 166 of these pairs, using at least one of each tile of the pair.

If you solve an unsolved case, please write.

Carl Schwenke and Johann Schwenke found many of these tilings.

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Last revised 2024-06-24.

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Col. George Sicherman [ HOME | MAIL ]