About thin arithmetic discrete planes
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Publication:638550
DOI10.1016/j.tcs.2011.04.014zbMath1222.52019OpenAlexW2064801084MaRDI QIDQ638550
Publication date: 12 September 2011
Published in: Theoretical Computer Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.tcs.2011.04.014
tilingsquasicrystalssubstitutionsword combinatoricsarithmetic discrete planescut and project methoddigital planes
Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Quasicrystals and aperiodic tilings in discrete geometry (52C23)
Cites Work
- Combinatorial properties of infinite words associated with cut-and-project sequences
- Connectivity of discrete planes
- Brun expansions of stepped surfaces
- Substitutions in dynamics, arithmetics and combinatorics
- Generation and recognition of digital planes using multi-dimensional continued fractions
- Lyndon + Christoffel = digitally convex
- Digital planarity -- a review
- On the tiling by translation problem
- Minimal arithmetic thickness connecting discrete planes
- Substitution dynamical systems - spectral analysis
- On translating one polyomino to tile the plane
- Modified Jacobi-Perron algorithm and generating Markov partitions for special hyperbolic toral automorphisms
- Some properties of invertible substitutions of rank \(d\), and higher dimensional substitutions.
- Tilings and rotations on the torus: A two-dimensional generalization of Sturmian sequences
- Functional stepped surfaces, flips, and generalized substitutions
- Arithmetic Discrete Planes Are Quasicrystals
- Christoffel and Fibonacci Tiles
- On the Connecting Thickness of Arithmetical Discrete Planes
- Directions in Mathematical Quasicrystals
- On the canonical projection method for one-dimensional quasicrystals and invertible substitution rules
- Combinatorial Image Analysis
- MULTIDIMENSIONAL STURMIAN SEQUENCES AND GENERALIZED SUBSTITUTIONS
- Pisot substitutions and Rauzy fractals
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