Cut and project sets with polytopal window I: Complexity

DOI10.1017/etds.2020.10OpenAlexW3007586181WikidataQ114119437 ScholiaQ114119437MaRDI QIDQ5146585

James J. Walton, Henna Koivusalo

Publication date: 26 January 2021

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.13382

zbMATH Keywords

complexityaperiodic ordermodel setscut and project

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Combinatorial complexity of geometric structures (52C45)

Related Items (1)

Cut and project sets with polytopal window II: linear repetitivity

Cites Work

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• Tilings and rotations on the torus: A two-dimensional generalization of Sturmian sequences
• Pure point dynamical and diffraction spectra
• On diffraction by aperiodic structures
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• Topological invariants for projection method patterns
• Characterization of model sets by dynamical systems
• Visibility and Directions in Quasicrystals
• Complexity and cohomology for cut-and-projection tilings
• Polytopes, Rings, and K-Theory
• Tiling spaces are Cantor set fiber bundles
• Repetitive Delone sets and quasicrystals
• A characterization of linearly repetitive cut and project sets
• Diffraction by aperiodic structures at high temperatures
• Gaps problems and frequencies of patches in cut and project sets

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