Elsevier

Discrete Mathematics

Volume 160, Issues 1–3, 15 November 1996, Pages 245-251
Discrete Mathematics

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An aperiodic set of 13 Wang tiles

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Abstract

A new aperiodic tile set containing only 13 tiles over 5 colors is presented. Its construction is based on a recent technique developed by Kari. The tilings simulate the behavior of sequential machines that multiply real numbers in balanced representations by real constants.

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This work was supported by the National Science Foundation under Grant No. CCR-9202396.