On parametric density of finite circle packings
type: Item
instance of: scholarly article
title: On parametric density of finite circle packings
zbMATH Open document ID: 0974.52017
author: Achill Schürmann
published in: Beiträge zur Algebra und Geometrie
publication date: 2000-09-13T00:00:00Z
full work available at URL: https://eudml.org/doc/121418
full work available at URL: 3.html
review text: The author deals with the problem of the densest finite circle packings concerning parametric density. He shows that the extremal density in lattice case is attained only for critical lattices. He gives an upper bound for the density with parameters \(\rho\leq {3\over 2}+\sqrt 3\). The extremal packings are Groemer packings. Using results by Groemer and Wegner he shows that the above bound holds for arbitrary finite circle packings and parameters less than 1.
Mathematics Subject Classification ID: 52C15
Mathematics Subject Classification ID: 52A10
zbMATH DE Number: 1505606
zbMATH Keywords: lattice packing
zbMATH Keywords: finite circle packings
zbMATH Keywords: density
reviewed by: Ágota H. Temesvári
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1505606