Asian Journal of Mathematics and Computer Research

CONSTRUCTION OF MULTIPLE ODD MAGIC SQUARES

SALAM SAMARENDRA SINGH *

Department of Mathematics, G. P. Women’s College, Imphal, Manipur, India.

MOIRANGTHEM SOMOLIYA DEVI

TIITET, Bishnupur, Manipur, India.

*Author to whom correspondence should be addressed.

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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

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