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A construction of magic cubes

Published online by Cambridge University Press:  01 August 2016

Marián Trenkler
Marián Trenkler*
Affiliation:
Šafárik University, Jesenná 5, 041 54 Košice, Slovakia
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Extract

In this paper a magic cube of order n is a 3-dimensional matrix Qn = {qn(i,j,k); 1 ≤ i,j,k ≤ n} containing natural numbers 1,2, ... n3 such that the sums of the numbers along each row (n-tuple of elements having the same coordinates on two places) and also along each of its four great diagonals are the same. This contrasts with a previous article [1] which considered magic cubes with no requirement for the diagonal sums.

Type
Articles
Information
The Mathematical Gazette , Volume 84 , Issue 499 , March 2000 , pp. 36 - 41
Copyright
Copyright © The Mathematical Association 2000

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References

1. Trenkler, M. Magic cubes, Math. Gaz. 82 (March 1998) pp. 56–61.Google Scholar
2. Andrews, W. S. Magic squares and cubes, Dover, New York (1960).Google Scholar
3. Benson, W. H. Jacoby, O. Magic cubes, new recreations, Dover, New York (1981).Google Scholar