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Constructing all magic squares of order three
Authors:Guoce Xin
Institution:Center for Combinatorics, LPMC-TJKLC, Nankai University, Tianjin 300071, PR China
Abstract:We find by applying MacMahon's partition analysis that all magic squares of order three, up to rotations and reflections, are of two types, each generated by three basis elements. A combinatorial proof of this fact is given.
Keywords:Magic squares  Linear Diophantine equations
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