What is a Magic Rectangle?

Magic rectangles are well-known for their very interesting and entertaining combinatorics. A magic rectangle is an arrangement of the integers 1 to pq in an array of p rows and q columns so that each row adds to the same total P and each column to the same total Q. The totals P and Q are termed the magic constants.



[1]    F.S. Chai, Ashish Das and C.K. Midha, Construction of magic rectangles of odd order, Australasian Journal of Combinatorics, 55 (2013), 131–144. [PDF] [Corrections]

[2]    J. P. De Los Reyes, Ashish Das, C.K. Midha and P. Vellaisamy, On a method to construct magic rectangles of even order, Utilitas Mathematica, 80 (2009), 277-284. [PDF]

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