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2022•Asian journal of mathematics and computer researchOpen access

CONSTRUCTION OF MULTIPLE ODD MAGIC SQUARES

SALAM SAMARENDRA SINGH, MOIRANGTHEM SOMOLIYA DEVI

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Magic square, Row, Diagonal, MAGIC (telescope), Combinatorics, Mathematics, Row and column spaces, Algebraic number

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