Almost squares in almost squares: solving the final instance

Open Access
Authors
  • S. Bhulai
Publication date 2016
Host editors
  • S. Bhulai
  • I. Semanjski
Book title Data Analytics 2016
Book subtitle The Fifth International Conference on Data Analytics: October 9-13, 2016, Venice, Italy
ISBN (electronic)
  • 9781612085104
Series International Conference on Data Analytics, 5
Event The Fifth International Conference on Data Analytics
Pages (from-to) 69-74
Publisher IARIA
Organisations
  • Faculty of Science (FNWI) - Informatics Institute (IVI)
Abstract The "almost-squares in almost-squares" (Asqas) problem is a rectangle packing problem in which a series of almost-squares (rectangles of dimensions n by (n+1)) needs to be placed inside an almost-square frame without open areas or overlaps. Asqas-34, consisting of almost-squares 1 by 2, 2 by 3, ..., 34 by 35, remains unsolved. This paper shows Asqas-34 is the only remaining unsolved instance of Asqas, and describes several solutions to Asqas-34, and the methods used to find them.
Document type Conference contribution
Language English
Published at http://www.thinkmind.org/index.php?view=article&articleid=data_analytics_2016_4_20_60067
Other links https://www.thinkmind.org/index.php?view=instance&instance=DATA+ANALYTICS+2016
Downloads
2016Braametal-AlmostSquares (Final published version)
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