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Squaring the Square

Published online by Cambridge University Press:  20 November 2018

W. T. Tutte*
Affiliation:
University of Toronto
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1. Introduction. It is the object of this paper to describe in more detail than has hitherto been done the general methods by which a square may be dissected into smaller unequal non-overlapping squares. Examples of such dissections are given

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1950

References

[1] Smith, C. A. B. and Tutte, W. T., “A Class of Self-Dual Maps,” Can. J. Math., vol. II, no. 2 (1950).Google Scholar
[2] Sprague, R., “Beispiel einer Zerlegung des Quadrats in lauter verschiedene Quadrate,” Math. Zeit., vol. 45, (1939), 607608.Google Scholar
[3] Sprague, R., “Über die Zerlegung von Rechtecken in lauter verschiedene Quadrate,” Journal fur die reine una angewandte Mathematik, vol. 182 (1940), 6064.Google Scholar
[4] Sprague, R. “Zur Abschâtzung der Mindestzahl inkongruenter Quadrate, die ein gegebenes Rechteck ausfullen,” Math. Zeit., vol. 46 (1940), 460471.Google Scholar
[5] Brooks, R. L., Smith, C. A. B., Stone, A. H. and Tutte, W. T., “The Dissection of Rectangles into Squares,” Duke Math. J., vol. 7 (1940), 312340.Google Scholar
[6] Stone, A. H., “Question E 401 and Solution,"” Amer. Math. Monthly, vol. 47 (1940), 570572.Google Scholar
[7] Bouwkamp, C. J., “On the Dissection of Rectangles into Squares,” Papers I-III, Koninklijke Nederlandsche Akademie van Wetenschappen, Proc, vol. 49 (1946), 11761188, and vol. 50 (1947), 58-78.Google Scholar
[8] Bouwkamp, C. J., “On the Construction of Simple Perfect Squared Squares,” Koninklijke Nederlandsche Akademie van Wetenschappen, Proc, vol. 50 (1947), 12961299.Google Scholar
[9] Brooks, R. L., Smith, C. A. B., Stone, A. H. and Tutte, W. T., “A Simple Perfect Square,” Koninklijke Nederlandsche Akademie van Wetenschappen, Proc, vol. 50 (1947), 13001301.Google Scholar