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Gaston Tarry and multimagic squares

Published online by Cambridge University Press:  23 January 2015

A. D. Keedwell
A. D. Keedwell*
Affiliation:
Department of Mathematics, University of Surrey, Guildford GU2 7XH
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Extract

It is well known that G. Tarry [1] was the first to publish a proof that the famous thirty-six officers problem posed by L. Euler [2] in 1779 has no solution but it appears to be less well known that he was the first to devise a systematic method of constructing bimagic and trimagic squares, that is, magic squares which remain magic when each entry is replaced by its square and, in the case of trimagic squares, also when each entry is replaced by its cube. Tarry's method was outlined in [3] and was explained and slightly improved upon in a book by E. Cazalas [4] published in Paris in 1934. Recently, there has been renewed interest in this topic.

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The Mathematical Gazette , Volume 95 , Issue 534 , November 2011, pp. 454 - 468
Copyright
Copyright © The Mathematical Association 2011

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References

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