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. 3 1 6 . 8 9 5 .
9 . 2 7 . 1 3 . 8
8 7 . 3 . 4 . 6 1
2 4 3 . 1 . 6 7 5
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . .
. . . . . . . . . X-sudoku, four rows, symmetric, very hard
But ones with three rows also exist:
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. . . . . . . . .
. 5 6 9 . 8 1 . 2
. . . . . . . . .
. . . . . . . . .
. 6 5 2 . 9 4 1 3
. . . . . . . . .
. . . . . . . . .
. . 1 8 4 5 3 . 6
. . . . . . . . . X-sudoku, three rows, minimal, hard
Other shapes are possible with X that standard puzzles don't allow:
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. 8 . 1 . 2 4 6 .
. . . . . . . . 2
5 . . . . . . . 8
2 . . . . . . . 9
. . . . . . . . .
9 . . . . . . . 4
6 . . . . . . . 1
7 . . . . . . . .
. 1 2 6 . 3 . 8 . x-sudoku, empty box, symmetric, hard
and a smaller box (but maybe that's possible with standard puzzles too):
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. . . . . . . . .
. 7 4 9 . 8 6 2 .
. 3 . . . . . 1 .
. 2 . . . . . 7 .
. 6 . . . . . 3 .
. 1 . . . . . 4 .
. 4 . . . . . 6 .
. . 6 5 1 4 3 . .
. . . . . . . . . x-sudoku, symmetric, minimal, hard
I'm happy to try other interesting shapes that folks might propose.
Regards,
Mike Metcalf