From Dominoes to Hexagons

Details From Dominoes to Hexagons From Dominoes to Hexagons

2004-05-25

arxiv.org/abs/math/0405482v1

Mathematics

Combinatorics

14 pages

Scientific paper

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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