Some new structures for the ``equal circles packing in a square'' problem
type: Item
instance of: scholarly article
title: Some new structures for the ``equal circles packing in a square'' problem
zbMATH Open document ID: 0962.52005
author: Péter Gábor Szabó
published in: CEJOR. Central European Journal of Operations Research
publication date: 2001-05-29T00:00:00Z
review text: The problem of maximizing the size of \(n\) nonoverlapping equal disks in a unit square (this problem is equivalent to maximizing the minimum pairwise distance between \(n\) points in a unit square) and patterns of good such packings are considered. Earlier results, in particular packings constructed by \textit{K. J. Nurmela, P. R. J. Östergård} and \textit{R. aus dem Spring} [Can. Math. Bull. 42, No. 3, 380-385 (1999; Zbl 0938.52015)] are discussed, and some new observations regarding patterns of small best known packings are presented.
Mathematics Subject Classification ID: 52C15
Mathematics Subject Classification ID: 05B40
zbMATH DE Number: 1486862
zbMATH Keywords: packings of equal disks
zbMATH Keywords: patterns of packings
reviewed by: Patric R. J. Östergård
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1486862