The densest packing of equal circles into a parallel strip
type: Item
instance of: scholarly article
title: The densest packing of equal circles into a parallel strip
zbMATH Open document ID: 0722.52010
DOI: 10.1007/BF02574677
published in: Discrete \& Computational Geometry
publication date: 1991-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/131146
review text: Given an infinite strip S of width w in the euclidean plane one can ask for the densest packing of points in S for which any two distinct points have distance at least 1. The exact answer has been known for \(\omega\leq \sqrt{2}\) and for \(w=n\sqrt{3}/2\) with n an integer. The author determines the maximal density for the case \(\sqrt{3}/2<w\leq \sqrt{3}\).
reviewed by: Egon Schulte
Mathematics Subject Classification ID: 52C15
zbMATH DE Number: 4190578
zbMATH Keywords: circle packings
zbMATH Keywords: infinite strip
zbMATH Keywords: densest packing
zbMATH Keywords: maximal density
author: Zoltán Füredi
MaRDI profile type: Publication
cites work: Q3316129
cites work: Q5637537
cites work: A Packing Inequality for Compact Convex Subsets of the Plane
cites work: Über die Einlagerung von Kreisen in einen konvexen Bereich
cites work: Q3215920
cites work: Die Dichte einer Kugelpackung in einer 4-dimensionalen Schicht
cites work: Packing of congruent spheres in a strip
OpenAlex ID: W2077035981
description: scientific article; zbMATH DE number 4190578