Constructing all magic squares of order three |
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Authors: | Guoce Xin |
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Affiliation: | Center for Combinatorics, LPMC-TJKLC, Nankai University, Tianjin 300071, PR China |
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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. |
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Keywords: | Magic squares Linear Diophantine equations |
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