On the density of sets avoiding parallelohedron distance 1
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Publication:2324626
DOI10.1007/s00454-019-00113-xzbMath1430.52022arXiv1708.00291OpenAlexW2967544139WikidataQ127390346 ScholiaQ127390346MaRDI QIDQ2324626
Thomas Bellitto, Philippe Moustrou, Arnaud Pêcher, Christine Bachoc
Publication date: 11 September 2019
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.00291
(n)-dimensional polytopes (52B11) Lattices and convex bodies (number-theoretic aspects) (11H06) Erd?s problems and related topics of discrete geometry (52C10)
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On the density of sets of the Euclidean plane avoiding distance 1 ⋮ New directions in real algebraic geometry. Abstracts from the workshop held March 19--24, 2023
Cites Work
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- Better bounds for planar sets avoiding unit distances
- The realization of distances in measurable subsets covering \(R^ n\).
- Zonotopes, dicings, and Voronoi's conjecture on parallelohedra
- The density of sets avoiding distance 1 in Euclidean space
- The Mathematical Coloring Book
- Convex bodies which tile space by translation
- The realization of distances within sets in Euclidean space
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