2004/05/25 by Dylan P. Thurston, Thurston, Dylan P. · 2 citations
Mathematics · #05B45 #16S99 (Secondary) #46L37 #52C20 (Primary) #579M25 #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.math/0405482
openalex publication_date 2004/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.