The Number of a Type of Magic Squares and Its Construction Algorithm

Authors

Abstract

In this paper, we give a formula to count the exact number of a special type of  magic squares of nonnegative integers. We also present a simple algorithm to construct such magic squares.                Keywords :  Magic square, Magic constant

Author Biography

Boorapa Singha, Chiang Mai Rajabhat University

Assistant Professor, Department of Mathematics and Statistics, Chiang Mai Rajabhat University.

References

Bona, M. (1997). A new proof of the formula for the number of 3×3 magic squares. Mathematics Magazine, 70(3), 201-203.
Sallows, L. C. (2013). Geometric Magic Squares: A Challenging New Twist Using Colored Shapes Instead of Numbers. Courier Corporation.
Sierpinski, W. (1988). Elementary Theory of Numbers: Second English Edition (edited by A. Schinzel) (Vol. 31). Elsevier.
Xin, G. (2008). Constructing all magic squares of order three. Discrete Mathematics, 308(15), 3393-3398.

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Published

2020-05-01