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An aperiodic set of 11 Wang tiles

Identifieur interne : 000D63 ( Hal/Curation ); précédent : 000D62; suivant : 000D64

An aperiodic set of 11 Wang tiles

Auteurs : Emmanuel Jeandel [France] ; Michael Rao [France]

Source :

RBID : Hal:hal-01166053

Abstract

A new aperiodic tile set containing 11 Wang tiles on 4 colors is presented. This tile set is minimal in the sense that no Wang set with less than 11 tiles is aperiodic, and no Wang set with less than 4 colors is aperiodic.

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Hal:hal-01166053

Le document en format XML

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<idno type="stamp" n="LORIA">LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications</idno>
<idno type="stamp" n="UNIV-LORRAINE">Université de Lorraine</idno>
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<title xml:lang="en">An aperiodic set of 11 Wang tiles</title>
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<persName>
<forename type="first">Emmanuel</forename>
<surname>Jeandel</surname>
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<forename type="first">Michael</forename>
<surname>Rao</surname>
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<idno type="arxiv">1506.06492</idno>
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<abstract xml:lang="en">A new aperiodic tile set containing 11 Wang tiles on 4 colors is presented. This tile set is minimal in the sense that no Wang set with less than 11 tiles is aperiodic, and no Wang set with less than 4 colors is aperiodic.</abstract>
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