## Euler squareA square array made by combining n objects of two types such that
the first and second elements form a Latin
square. Euler squares are also known as Graeco-Latin squares,
Graeco-Roman squares, or Latin-Graeco squares.
For many years, Euler squares were known to exist for n = 3, 4,
and for every odd n except n = 3k. Euler's
Graeco-Roman squares conjecture maintained that there are
no Euler squares of order n = 4k + 2 for k =
1, 2, .... However, such squares were found to exist in 1959 by Bose and
Shrikande, refuting the conjecture. ## Related category• GAMES AND PUZZLES | |||||

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