Local Rules for Computable Planar Tilings

Aperiodic tilings are non-periodic tilings characterized by local constraints. They play a key role in the proof of the undecidability of the domino problem (1964) and naturally model quasicrystals (discovered in 1982). A central question is to characterize, among a class of non-periodic tilings, th...

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Bibliographic Details
Main Authors: Thomas Fernique, Mathieu Sablik
Format: Article
Language:English
Published: Open Publishing Association 2012-08-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1208.2759v1