On lattice coverings by simplices
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Publication:1747151
DOI10.1515/advgeom-2017-0049zbMath1429.52022arXiv1502.04508OpenAlexW2964203498MaRDI QIDQ1747151
Publication date: 4 May 2018
Published in: Advances in Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.04508
Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Three-dimensional polytopes (52B10) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)
Related Items
Interpolating between volume and lattice point enumerator with successive minima ⋮ Lower Bounds on Lattice Covering Densities of Simplices ⋮ Improved Bounds on Sidon Sets via Lattice Packings of Simplices
Cites Work
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- On Godbersen's conjecture
- The difference body of a convex body
- Covering the plane with translates of a triangle
- Zur Lagerung kongruenter Körper im Raum
- Sphere packings. (Edited by John Talbot)
- Densest lattice packings of 3-polytopes.
- Überdeckung des Raumes durch translationsgleiche Punktmengen und Nachbarnzahl
- Research Problems in Discrete Geometry
- Covering space by spheres
- The Covering Of Space By Spheres
- Geometry and Diameter Bounds of Directed Cayley Graphs of Abelian Groups
- Lattice-Simplex Coverings and the 84-Shape
- The Degree-Diameter Problem for Several Varieties of Cayley Graphs I: The Abelian Case
- Packing, tiling, and covering with tetrahedra
- Mysteries in Packing Regular Tetrahedra
- Sur la densité des réseaux de domaines convexes