Hostname: page-component-7b7567c8c-mnklg Total loading time: 0 Render date: 2026-11-12T09:59:07.310Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

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:

Information

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

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