Short proof that no pair of orthogonal Latin squares of order 6 exists, with a direct proof that no affine plane of order 6 exists.
Euler, Recherches sur une nouvelles esp` ece de quarr´ es ma giques, Ver- handelingen uitgegeven door het zeeuwsch Genootschap der W etenschappen te Vlissingen 9 (1782), pp
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Thirty-six Officers and their Code
Short proof that no pair of orthogonal Latin squares of order 6 exists, with a direct proof that no affine plane of order 6 exists.