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VOL. 46 | 2017 From Dominoes to Hexagons
Dylan P. Thurston

Editor(s) Scott Morrison, David Penneys

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.

Information

Published: 1 January 2017
First available in Project Euclid: 21 February 2017

zbMATH: 06990162
MathSciNet: MR3635679

Rights: Copyright © 2017, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

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