On finite lattice coverings
type: Item
instance of: scholarly article
title: On finite lattice coverings
zbMATH Open document ID: 1013.52014
author: Martin Meyer
author: Uwe Schnell
published in: Journal of Geometry
publication date: 2003-06-21T00:00:00Z
review text: The authors investigate optimal finite lattice coverings of strictly convex bodies with respect to the parametric density. They prove that the optimal arrangement in the plane is either a sausage, a so-called double sausage or tends to a Wulff-shape, depending on the parameter. In arbitrary dimension they give a characterization of lattices for which the optimal finite lattice covering with the unit ball is a sausage, for large parameter.
Mathematics Subject Classification ID: 52C15
Mathematics Subject Classification ID: 52C17
Mathematics Subject Classification ID: 11H31
zbMATH DE Number: 1760631
zbMATH Keywords: optimal finite lattice coverings
zbMATH Keywords: Wulff-shape
zbMATH Keywords: parametric density
reviewed by: C. Peri
MaRDI profile type: Publication
full work available at URL: s00022-001-8575-z
OpenAlex ID: W2011437197
DOI: 10.1007/S00022-001-8575-Z
description: scientific article; zbMATH DE number 1760631