On packing unequal squares
type: Item
instance of: scholarly article
title: On packing unequal squares
zbMATH Open document ID: 0857.05019
author: Karen Ball
published in: Journal of Combinatorial Theory. Series A
publication date: 1997-03-06T00:00:00Z
review text: The author improves earlier results (cf. \textit{D. Jennings} [J. Comb. Theory, Ser. A 68, No. 2, 465-469 (1994; Zbl 0808.05033)]) by showing that the squares of side \(1/2,1/3,1/4,\dots\) can be packed into a rectangle of size 31/30 by 629/1000. The excess area in this rectangle is less than 1\%; the question of whether this excess can be made arbitrarily small remains open.
Mathematics Subject Classification ID: 05B40
zbMATH DE Number: 934987
zbMATH Keywords: packing
zbMATH Keywords: squares
zbMATH Keywords: rectangle
reviewed by: J. W. Moon
MaRDI profile type: Publication
full work available at URL: jcta.1996.0083
OpenAlex ID: W1994774170
DOI: 10.1006/JCTA.1996.0083
description: scientific article; zbMATH DE number 934987