Theoretical Statistics and Mathematics Unit, ISI Delhi

Construction and use of magic squares and magic rectangles

by J. P. De Los Reyes, Ahmad Pourdarvish, Chand K. Midha and Ashish Das

Magic squares are well-known for its very interesting and
entertaining combinatorics. We present a new method for
constructing magic squares of odd order. A technique for obtaining
two orthogonal latin squares of odd orders is provided. These
latin squares are used for constructing the magic squares. The
method has been shaped in form of an algorithm that is very
convenient for writing a computer program for constructing such
squares. The methods have been illustrated through some examples.
Finally, some results on magic rectangles is given.

isid/ms/2006/03 [fulltext]

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