Packing unit squares in squares: A survey and new results
type: Item
instance of: scholarly article
title: Packing unit squares in squares: A survey and new results
zbMATH Open document ID: 0904.52005
author: Erich Friedman
published in: The Electronic Journal of Combinatorics
publication date: 1998-04-02T00:00:00Z
full work available at URL: https://eudml.org/doc/231733
full work available at URL: Surveys
review text: For an integer \(n\), let \(s(n)\) denote the side length of the smallest square which admits a packing by \(n\) unit squares (with no restrictions on their positions). The author surveys the best known packings for \(n\leq 100\). He also improves the best known upper bounds for specific values of \(n\) \((\leq 100)\), and presents a relatively simple proof for the exact value of \(s(n)\) for a number of small integers \(n\).
Mathematics Subject Classification ID: 52C15
Mathematics Subject Classification ID: 05B40
Mathematics Subject Classification ID: 52-02
zbMATH DE Number: 1136798
zbMATH Keywords: square packings
zbMATH Keywords: dense packings
reviewed by: Egon Schulte
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1136798