Re: SuDoku 15 solution? Any such exist?

richardhutnik@xxxxxxxxxxx wrote:

> I am curious if anyone ever came up with a SuDoku puzzle for 9x9 (9 3
> by 3 grids) where the total in each and every 3 by 3 grid equals 15
> vertically, horizontally and diagonally. Or at least vertically and
> horizontally. When I first saw SuDoku, I thought it had something to
> do with coming up with total of 15 in each of the 3 by 3 minigrids.

I think you'll find it's impossible, at least for the case including
diagonals, since that's basically a magic square, and IIRC the centre of a
normal magic square (of order 3) must be 5. So you'd have three fives in
each of three rows and in each of three columns, which breaks Sudoku rules.

--
Richard Heathfield
"Usenet is a strange place" - dmr 29/7/1999
http://www.cpax.org.uk
mail: rjh at above domain
.

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