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Computational aspects of M. C. Escher's ribbon patterns

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Publication:489754
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DOI10.1007/s00224-013-9485-9zbMath1303.68089OpenAlexW2024243717MaRDI QIDQ489754

Ellen Gethner, David G. Kirkpatrick, Nicholas J. Pippenger

Publication date: 21 January 2015

Published in: Theory of Computing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00224-013-9485-9


zbMATH Keywords

optimizationperiodicitytilinggeometric structureEscherribbon patterns


Mathematics Subject Classification ID

Combinatorics in computer science (68R05) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Mathematics and visual arts (00A66)




Cites Work

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  • Combinatorial enumeration of \(2\times 2\) ribbon patterns
  • Escher's combinatorial patterns
  • On a tiling scheme from M. C. Escher
  • Undecidability and nonperiodicity for tilings of the plane
  • Applying Burnside's Lemma to a One-Dimensional Escher Problem
  • On cycle bases of a graph
  • Notes on a class of tiling problems
  • The undecidability of the domino problem


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