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Sub Rosa, a system of quasiperiodic rhombic substitution tilings with \(n\)-fold rotational symmetry

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Publication:309662
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DOI10.1007/s00454-016-9779-1zbMath1353.52015arXiv1512.01402OpenAlexW2262422723WikidataQ62045881 ScholiaQ62045881MaRDI QIDQ309662

Markus Rissanen, Jarkko Kari

Publication date: 7 September 2016

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01402


zbMATH Keywords

substitution tilingrotation symmetryquasiperiodicrhombic tiling


Mathematics Subject Classification ID

Tilings in (2) dimensions (aspects of discrete geometry) (52C20)


Related Items

Substitution discrete plane tilings with \(2n\)-fold rotational symmetry for odd \(n\) ⋮ Substitution tilings with dense tile orientations and \(n\)-fold rotational symmetry ⋮ Cyclotomic aperiodic substitution tilings



Cites Work

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  • Pentaplexity. A class of non-periodic tilings of the plane
  • Tiling polygons with parallelograms
  • A computer search for planar substitution tilings with \(n\)-fold rotational symmetry
  • Tiling a polygon with parallelograms
  • Non-periodic rhomb substitution tilings that admit order \(n\) rotational symmetry
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