Translative Packing of Unit Squares into Squares

Every collection of n (arbitrary-oriented) unit squares admits a translative packing into any square of side length √2.5⋅𝑛.

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Bibliographic Details
Main Author: Janusz Januszewski
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2012/613201
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author Janusz Januszewski
author_facet Janusz Januszewski
author_sort Janusz Januszewski
collection DOAJ
description Every collection of n (arbitrary-oriented) unit squares admits a translative packing into any square of side length √2.5⋅𝑛.
format Article
id doaj-art-8b322dc03ccc4ee59cfc485294654ce1
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-8b322dc03ccc4ee59cfc485294654ce12025-02-03T06:12:37ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252012-01-01201210.1155/2012/613201613201Translative Packing of Unit Squares into SquaresJanusz Januszewski0Institute of Mathematics and Physics, University of Technology and Life Sciences, Kaliskiego 7, 85-789 Bydgoszcz, PolandEvery collection of n (arbitrary-oriented) unit squares admits a translative packing into any square of side length √2.5⋅𝑛.http://dx.doi.org/10.1155/2012/613201
spellingShingle Janusz Januszewski
Translative Packing of Unit Squares into Squares
International Journal of Mathematics and Mathematical Sciences
title Translative Packing of Unit Squares into Squares
title_full Translative Packing of Unit Squares into Squares
title_fullStr Translative Packing of Unit Squares into Squares
title_full_unstemmed Translative Packing of Unit Squares into Squares
title_short Translative Packing of Unit Squares into Squares
title_sort translative packing of unit squares into squares
url http://dx.doi.org/10.1155/2012/613201
work_keys_str_mv AT januszjanuszewski translativepackingofunitsquaresintosquares