Multi‐tiling and equidecomposability of polytopes by lattice translates
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Publication:5110592
DOI10.1112/blms.12297zbMath1442.52018arXiv1804.09920OpenAlexW2799220376MaRDI QIDQ5110592
Publication date: 21 May 2020
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.09920
(n)-dimensional polytopes (52B11) Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Polyhedra and polytopes; regular figures, division of spaces (51M20) Dissections and valuations (Hilbert's third problem, etc.) (52B45) Tilings in (n) dimensions (aspects of discrete geometry) (52C22)
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Cites Work
- Structure results for multiple tilings in 3D
- Translative Parkettierungspolyeder und Zerlegungsgleichheit
- Translative Zerlegungsgleichheit von Polytopen
- On the structure of multiple translational tilings by polygonal regions
- Polytopes that fill \(\mathbb{R}^ n\) and scissors congruence
- Sets of bounded discrepancy for multi-dimensional irrational rotation
- Translational tilings by a polytope, with multiplicity
- Conditions necessaires et suffisantes pour l'équivalence des polyedres de l'espace euclidien à trois dimensions
- Translationsinvariante, additive und schwachstetige Polyederfunktionale
- Zum Problem der Zerlegungsgleichheit \(k\)-dimensionaler Polyeder
- The algebra of polytopes in affine spaces.
- Translative Zerlegungsgleichheit der Polyeder des gewöhnlichen Raumes.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item