CONSTRUCTION OF MULTIPLE ODD MAGIC SQUARES
Asian Journal of Mathematics and Computer Research,
Page 42-52
Abstract
A technique of constructing multiple odd magic square matrices is studied in this work. A specific rule of establishing odd magic to magic squares derived from the odd algebraic Latin squares is proposed. Magic squares are practically important from the properties of their equality in the sum of rows, columns and diagonals. An n*n odd magic square is an array containing the positive integers from 1 to n2 , arranged so that each of the rows, columns, and the two principal diagonals have the same sum.
Keywords:
- Latin squares
- magic squares
- pivot element
- odd magic to magic squares
How to Cite
SINGH, S. S., & DEVI, M. S. (2022). CONSTRUCTION OF MULTIPLE ODD MAGIC SQUARES. Asian Journal of Mathematics and Computer Research, 29(1), 42-52. Retrieved from https://www.ikprress.org/index.php/AJOMCOR/article/view/7693
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Pappas T. The joy of mathematics. World Publishing, U.S.; New Edition; 23 Jan, 1993.
Smith DE. History of Mathematics Volume II. Dover Publications, Inc, 180 Varick Street, New York - 10014, First Edition; 1958.
Boyer CB, revised by Uta C. Merzbach: A History of Mathematics. Wiley, Revised Edition; 1998.
Abe G. Unsolved problems on magic squares. Disc. Math. 1994;127:3-13.
Su, Francis E, et al. Making magic squares. Math Fun Facts.
Available:http://www.math.hmc.edu/funfacts
Ganapathy G, Mani K. Add-on security model for public-key cryptosystem based on magic square implementation. Proceedings of the World Congress on Engineering and Computer Science. WCECS, San Francisco, USA. 2009;I.
Adam Rogers and Peter Loly: The Inertial Properties of Magic Squares and Cubes. 2004;1-3.
Tomba I. A Technique for constructing Odd-order Magic Squares using Basic Latin Squares, International Journal of Scientific and Research Publications. 2012;2:550-554.
Available:http://mathworld.wolfram.com, pp. 1-3.
Pickover CA. The Zen of magic squares, circles and stars; an exhibition of surprising structures across dimensions. NJ: Princeton University Press; 1 Jan, 2004.
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