Does this mean anything?

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Does this mean anything?

Postby shuriken90 » Thu Jan 19, 2006 11:44 pm

I've posted on this before but I can't find my old post so I'm reposting sorry. Once again, if this has been posted on elsewhere direct me there and I'll go there.

I've noticed that in every Sudoku I've solved there is a pattern that forms with each pair of 3X3 boxes directly opposite the center box (top and bottom, left and right, etc.) Each box seems to be the horizontal and vertical opposite of the other in relation to number positions, i.e. if you flipped each box horizontally and vertically the numbers would be in the same places as its pair but the numbers wouldn't necessarily be the same.

Example (X means no number):

Upper left box
3 X X
X 4 6
X X 5

Upper right box
2 X X
7 1 X
X X 8

1. Flip 1st box horizontally
X X 3
6 4 X
5 X X

2. Flip 1st box vertically
5 X X
6 4 X
X X 3

The numbers are in the same position as the 2nd box (see above) but the numbers themselves do not match.
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Postby PaulIQ164 » Thu Jan 19, 2006 11:46 pm

It's just an aesthetic thing. Sudokus are made to be symmetrical in this way only because it looks nicer - just like with crosswords.
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Postby shuriken90 » Thu Jan 19, 2006 11:49 pm

OK so the symmetry has nothing to do with the identity of any hidden numbers then. Is that correct? Thank you for clearing that up.
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Postby tso » Fri Jan 20, 2006 3:18 pm

There are many types of symmetry that are common in Japanese puzzle magazines. Nikoli and Wayne both use 2-fold rotational symmetry and most of the western world copied them. (The original number place in Dell Magazines had no symmetry, had 36 givens and were trivial to solve.)

See my post in this thread.
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