Complete characterization of polyhedral self-affine tiles
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Publication:6050231
DOI10.1007/s00454-023-00527-8zbMath1525.52012OpenAlexW4384823690MaRDI QIDQ6050231
Vladimir Yu. Protasov, Tatyana Zaitseva
Publication date: 12 October 2023
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00454-023-00527-8
Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Difference equations (39A99) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)
Cites Work
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- Multivariate wavelet frames
- Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings
- Some properties of self-similar convex polytopes
- Nonperiodicity implies unique composition for self-similar translationally finite tilings
- Haar bases for \(L^ 2 (\mathbb{R}^ n)\) and algebraic number theory
- Computer geometry: rep-tiles with a hole
- Self-affine tiling of polyhedra
- Tilings of convex polyhedral cones and topological properties of self-affine tiles
- Addition theorems for sets of integers
- A characterization of complementing sets of pairs of integers
- Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
- Self-Similar Polygonal Tiling
- Self-similarity and multiwavelets in higher dimensions
- Simple tiles and attractors
- Complementing Sets of n-Tuples of Integers
- Self-similar lattice tilings
- Disk-like self-affine tiles in \(\mathbb{R}^2\)
- Self-affine $2$-attractors and tiles
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