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From Dominoes to Hexagons

Dylan P. Thurston
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Abstract

There is a natural generalization of domino tilings to tilings of a polygon by hexagons, or, dually, configurations of oriented curves that meet in triples. We show exactly when two such tilings can be connected by a series of moves analogous to the domino flip move. The triple diagrams that result have connections to Legendrian knots, cluster algebras, and planar algebras.

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Dylan P. Thurston. 2016-09-12. From Dominoes to Hexagons. https://arxiv.org/abs/math/0405482

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