Abstract. Systematic methods are presented for constructing special magic squares of arbitrarily large size, including regular (or associative), pandiagonal, and most-perfect magic squares as well as ultra-magic squares (regular and pandiagonal). The methods of matrix analysis are employed to define these special magic squares and develop novel methods of constructing them.

Received: November 28, 2011

AMS Subject Classification: 00A08, 11C20

Key Words and Phrases: magic squares, Latin squares, matrix analysis

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 78
Issue: 2

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