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A Note on Some Perfect Squared Squares

Published online by Cambridge University Press:  20 November 2018

T. H. Willcocks
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In a recent paper [5], general methods were described for the dissection of a square into a finite number n of unequal non-overlapping squares. In this note, examples of such perfect squares are given in which the sides and elements are relatively small integers; in particular, a dissection of a square into 24 different elements, which is believed to be the squaring of least order known at the present time.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 3 , 1951 , pp. 304 - 308
Copyright
Copyright © Canadian Mathematical Society 1951

References

[1] Stone, A. H., Amer. Math. Monthly, vol. 47 (1940), 570–572.Google Scholar
[2] Brooks, R. L., Smith, C. A. B., Stone, A. H., Tutte, W. T., The dissection of rectangles into squares, Duke Math. J., vol. 7 (1940), 312–340.Google Scholar
[3] Bouwkamp, C. J., On the dissection of rectangles into squares (Papers I, II, and III), Neder. Akad. Wetensch. Proa, vol. 49 (1946), 1176-1188 and vol. 50 (1947), 58–78.Google Scholar
[4] Willcocks, T. H., Fairy Chess Review, vol. 7, Aug./Oct. 1948.Google Scholar
[5] Tutte, W. T., Squaring the square, Can. J. Math., vol. 2 (1950), 197–209.Google Scholar