The Math of Sudoku
The Math of Sudoku
The Math of Sudoku
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Latin squaresIntroduced and studied by Leonhard Euler in the 1700’s.A Latin square <strong>of</strong> order n is an n × n table filled with n differentsymbols in such a way that:each symbol appears exactly once in each row, and each column.Examples: a Latin square <strong>of</strong> order 4 with entries {♠, ♥, ♦, ♣} andone <strong>of</strong> order 5 with entries {a, b, c, d, e} :♠ ♥ ♦ ♣♥ ♦ ♣ ♠♦ ♣ ♠ ♥♣ ♠ ♥ ♦a b c d eb c e a dc e d b ad a b e ce d a c b