Taylor-Socolar hexagonal tilings as model sets

DOI10.3390/sym5010001zbMath1351.52020arXiv1207.6237OpenAlexW2098493855MaRDI QIDQ350637

Jeong-Yup Lee, Robert V. Moody

Publication date: 9 December 2016

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6237

zbMATH Keywords

pure point spectrummodel setsmonotile tilingparity tilingTaylor-Socolar tiling

Mathematics Subject Classification ID

Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Related Items (5)

Hexagonal inflation tilings and planar monotiles ⋮ AN APERIODIC TILE WITH EDGE-TO-EDGE ORIENTATIONAL MATCHING RULES ⋮ An aperiodic monotile that forces nonperiodicity through dendrites ⋮ The computation of overlap coincidence in Taylor-Socolar substitution tiling ⋮ Markov partitions for toral \(\mathbb{Z}^2\)-rotations featuring Jeandel-Rao Wang shift and model sets

Cites Work

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• Characterization of model sets by dynamical systems
• Quasiperiodic tilings with tenfold symmetry and equivalence with respect to local derivability
• Weighted Dirac combs with pure point diffraction
• Lattice substitution systems and model sets

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