Densest packings of equal circles in a square
type: Item
instance of: scholarly article
title: Densest packings of equal circles in a square
zbMATH Open document ID: 0814.52007
author: Ronald Peikert
published in: Elemente der Mathematik
publication date: 1995-06-13T00:00:00Z
full work available at URL: https://eudml.org/doc/141555
review text: Given a square \(Q\) in the Euclidean plane put \(n\) circles into \(Q\) such that no two circles have common interior points and such that the maximal distance between any two midpoints of the circles is minimal. The author lists such configurations for \(n = 10,11,12,\dots,20\). The configurations were found with computer programs. The proofs of the optimality were also done with computer aid as described in the article.
reviewed by: Bernd Kind
Mathematics Subject Classification ID: 52C15
Mathematics Subject Classification ID: 05B40
zbMATH DE Number: 598841
zbMATH Keywords: packings of circles
zbMATH Keywords: densest packing
zbMATH Keywords: square
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 598841