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Notes on vertex atlas of Danzer tiling

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Publication:449630
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zbMath1256.52009MaRDI QIDQ449630

Fumihiko Nakano, Hiroko Hayashi, Masatetsu Yamauchi, Naomi Odawara, Aya Konda, Yuu Kawachi, Rika Onda, Akinobu Sugio, Miho Kurozoe, Kazushi Komatsu

Publication date: 31 August 2012

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nihmj/1339694050


zbMATH Keywords

symmetrysubstitution tilinglocal rulesrhombic Penrose tilingsvertex atlas


Mathematics Subject Classification ID

Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Quasicrystals and aperiodic tilings in discrete geometry (52C23)




Cites Work

  • Unnamed Item
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  • Updown generation of Penrose patterns
  • Remarks on 2-dimensional quasiperiodic tilings with rotational symmetries
  • Pentaplexity. A class of non-periodic tilings of the plane
  • Space tilings and local isomorphism
  • Aperiodic tiles
  • A construction of inflation rules based on \(n\)-fold symmetry




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