The Math of Sudoku

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The GameA Sudoku board is a 9 × 9 table filled with nine different symbols, usually1, 2, · · · , 9, that has been partitioned into nine 3 × 3 blocks such that:each symbol appears exactly once in each row,each symbol appears exactly once in each column,each symbol appears exactly once in each block.The game consists in completing a sudoku board from the few entriesgiven.5 3 76 1 9 5 39 8 68 6 34 8 3 17 2 66 2 84 1 9 58 7 9
The GameA Sudoku board is a 9 × 9 table filled with nine different symbols, usually1, 2, · · · , 9, that has been partitioned into nine 3 × 3 blocks such that:each symbol appears exactly once in each row,each symbol appears exactly once in each column,each symbol appears exactly once in each block.The game consists in completing a sudoku board from the few entriesgiven.5 3 4 6 7 8 9 1 26 7 2 1 9 5 3 4 81 9 8 3 4 2 5 6 78 5 9 7 6 1 4 2 34 2 6 8 5 3 7 9 17 1 3 9 2 4 8 5 69 6 1 5 3 7 2 8 42 8 7 4 1 9 6 3 53 4 5 2 8 6 1 7 9
Page 1: T H EM A T HS U D O K UO FOscar Veg
Page 5 and 6: Sudo-HistoryThe modern version of S
Page 7 and 8: Pop Culture: Silly, Funny,.... WTH?
Page 9 and 10: Math Game?People say that sudoku is
Page 11 and 12: Direct Proof5 3 76 1 9 5 39 8 68 6
Page 13 and 14: Forcing Chains (Proof by Contradict
Page 19 and 20: Forcing Chains (Proof by Cases)2315
Page 25 and 26: Many-to-oneWe can create many other
Page 27 and 28: MinimalityQ. What is the minimum nu
Page 29 and 30: The graph of a Sudoku boardHerzberg
Page 31 and 32: More theoremsTheorem (Herzberg & Ra
Page 33 and 34: Latin squares of order 9Let us look
Page 35: T H A N KY O U

The Math of Sudoku

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