Optimal packings of unit squares in an infinite strip
type: Item
instance of: scholarly article
title: Optimal packings of unit squares in an infinite strip
zbMATH Open document ID: 0913.52006
author: S. El Moumni
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 1999-06-07T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/73409
review text: The author determines the densest packing of unit squares in an infinite strip \(B\) of width \(l\) when \(1\leq l<2\): If \(1\leq l\leq 2\sqrt 2-1\) the squares are packed with sides parallel to the boundary of \(B\); if \(2\sqrt 2-1\leq l<2\) they are tilted by \(45^\circ\).
Mathematics Subject Classification ID: 52C15
zbMATH DE Number: 1066073
zbMATH Keywords: densest packing
zbMATH Keywords: unit squares
reviewed by: Jonathan Schaer
MaRDI profile type: Publication
OpenAlex ID: W2322581903
cites work: The densest packing of equal circles into a parallel strip
cites work: Unsolved Problems Come of Age
DOI: 10.5802/AFST.857
description: scientific article; zbMATH DE number 1066073