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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

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Lowest order squared rectangles and squares with the largest element not on the boundary
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by A. J. W. Duijvestijn and P. Leeuw PDF
Math. Comp. 37 (1981), 223-228 Request permission

Abstract:

The lowest order squared rectangles and squares with the largest element not on the boundary are presented.
References
  • R. L. Brooks, C. A. B. Smith, A. H. Stone, and W. T. Tutte, The dissection of rectangles into squares, Duke Math. J. 7 (1940), 312–340. MR 3040
  • C. J. Bouwkamp, On the dissection of rectangles into squares. I, Nederl. Akad. Wetensch., Proc. 49 (1946), 1176–1188 = Indagationes Math. 8, 724–736 (1946). MR 19310
  • P. J. Federico, Squaring rectangles and squares, Graph theory and related topics (Proc. Conf., Univ. Waterloo, Waterloo, Ont., 1977) Academic Press, New York-London, 1979, pp. 173–196. A historical review with annotated bibliography. MR 538045
  • W. T. Tutte, A theory of $3$-connected graphs, Nederl. Akad. Wetensch. Proc. Ser. A 64 = Indag. Math. 23 (1961), 441–455. MR 0140094
  • Adrianus Johannes Wilhelmus Duijvestijn, Electronic computation of squared rectangles, Technische Hogeschool Eindhoven, Eindhoven, 1962. Thesis; Technische Wetenschap aan de Technische Hogeschool te Eindhoven. MR 0144492
  • A. J. W. Duijvestijn, Algorithmic Identification of Graphs and Determination of the Order of the Automorphism Group of a Graph, Memorandum 220, Twente University of Technology, Enschede, The Netherlands, 1978. A. J. W. Duijvestijn, Tables of Simple Squared Squares of Orders 13 Through 21 and $2 \times 1$ Rectangles of Orders 17 Through 21, Twente University of Technology, Enschede, The Netherlands, 1979.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Math. Comp. 37 (1981), 223-228
  • MSC: Primary 05B45; Secondary 52A45
  • DOI: https://doi.org/10.1090/S0025-5718-1981-0616375-0
  • MathSciNet review: 616375