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Dissecting attached squares

Published online by Cambridge University Press:  22 June 2022

Des MacHale
Des MacHale*
Affiliation:
School of Mathematics, Applied Mathematics and Statistics University College Cork, Cork, Ireland e-mail: d.machale@ucc.ie
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Extract

Many papers and indeed books have been written about the problem of dissecting a number of squares of different integer side length and reassembling the pieces to form a single square (see [1], [2] and [3]). For example, in the case of 32 + 42 = 52, we can achieve a four-piece dissection as follows:

Type
Articles
Information
The Mathematical Gazette , Volume 106 , Issue 566 , July 2022 , pp. 258 - 268
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Copyright
© The Authors, 2022 Published by Cambridge University Press on behalf of The Mathematical Association

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References

Kingston, Joe and MacHale, Des, Dissecting squares, Math. Gaz. 85, (November 2001) pp. 403–430.Google Scholar
Kingston, Joe and MacHale, Des, Some improved dissections of squares, Math. Gaz. 87 (July 2003) pp. 280–286.Google Scholar
Frederickson, G. N., Dissections plane and fancy, Cambridge University Press (1997).Google Scholar