Arithmetic Discrete Planes Are Quasicrystals
From MaRDI portal
Publication:3648766
DOI10.1007/978-3-642-04397-0_1zbMath1261.52013OpenAlexW1591200889MaRDI QIDQ3648766
Publication date: 1 December 2009
Published in: Discrete Geometry for Computer Imagery (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-642-04397-0_1
Combinatorics on words (68R15) Tilings in (n) dimensions (aspects of discrete geometry) (52C22) Quasicrystals and aperiodic tilings in discrete geometry (52C23)
Related Items (3)
Rauzy induction of polygon partitions and toral \(\mathbb{Z}^2\)-rotations ⋮ Convex polyhedra with deltoidal vertices ⋮ About thin arithmetic discrete planes
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Brun expansions of stepped surfaces
- Substitutions in dynamics, arithmetics and combinatorics
- Discrete geometry for computer imagery. 15th IAPR international conference, DGCI 2009, Montréal, Canada, September 30 -- October 2, 2009. Proceedings
- 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
- 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
- Discrete planes, \({\mathbb Z}^2\)-actions, Jacobi-Perron algorithm and substitutions
- Functional stepped surfaces, flips, and generalized substitutions
- Christoffel and Fibonacci Tiles
- On the Connecting Thickness of Arithmetical Discrete Planes
- Directions in Mathematical Quasicrystals
- MULTIDIMENSIONAL STURMIAN SEQUENCES AND GENERALIZED SUBSTITUTIONS
- Pisot substitutions and Rauzy fractals
This page was built for publication: Arithmetic Discrete Planes Are Quasicrystals
