{"title":"PERFECT PACKING OF SQUARES","authors":"Antal Jo'os","doi":"10.59277/mrar.2023.25.75.2.221","DOIUrl":null,"url":null,"abstract":"It is known that ∞P i=1 1/i2 = π2/6. Meir and Moser asked what is the smallest ϵ such that all the squares of sides of length 1, 1/2, 1/3, . . . can be packed into a rectangle of area π2/6 + ϵ. A packing into a rectangle of the right area is called perfec","PeriodicalId":49858,"journal":{"name":"Mathematical Reports","volume":"189 1","pages":""},"PeriodicalIF":0.2000,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Reports","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.59277/mrar.2023.25.75.2.221","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
It is known that ∞P i=1 1/i2 = π2/6. Meir and Moser asked what is the smallest ϵ such that all the squares of sides of length 1, 1/2, 1/3, . . . can be packed into a rectangle of area π2/6 + ϵ. A packing into a rectangle of the right area is called perfec
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The journal MATHEMATICAL REPORTS (formerly STUDII SI CERCETARI MATEMATICE) was founded in 1948 by the Mathematics Section of the Romanian Academy. It appeared under its first name until 1998 and received the name of Mathematical Reports in 1999. It is now published in one volume a year, consisting in 4 issues. The current average total number of pages is 500.
Our journal MATHEMATICAL REPORTS publishes original mathematical papers, written in English. Excellent survey articles may be also accepted. The editors will put strong emphasis on originality, quality and applicability.
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