[Maths-Education] Re: Group Theory and Soduko (Ernest, Paul)
Alan Rogerson
alan at rogerson.pol.pl
Fri Dec 5 13:48:13 GMT 2008
Oops, "Latin" was intended for "Magic" of course,.... it is a long
time....the Killer sudoku versions do have some relationship with magic
squares to the extent that the larger grid can be sub-divided into
smaller squares where a special relationship holds between the digits in
the smaller squares/grids, and this is the clue to their solution, but I
don't want to start on that seductive path......
Best wishes
Alan
Alan Rogerson wrote:
> Dear Paul,
> I now realise what your question meant - does the Sudoku table "look
> like" a group table would look for some group, with the digits as
> elements in it. I was thinking along other lines of the
> transformations involved in moving from table to table, and since the
> Sudoku is a Magic Square all the extensive literature on that which I
> read and have mostly forgotten is relevant to that question, and also
> creating new and bigger magic squares, which is not connected to
> Sudoku directly.
> I imagine you are not a Sudoko Widower as I (almost) am, Margaret has
> moved on from the "trivial" problems to Killer Sudoku (eg Kakuru) and
> "Absolutely deadly" versions - so avoid the addiction of you can! It
> does no good my telling her that all Sudoku solutions are /ipso facto/
> "the same" except of course for permuting the nine digits, since it is
> the struggle to find particular patterns and not the final array that
> matters to the addicts, life evidently imitates Sudoku in being a
> journey and not a destination...
> Best wishes
> Alan
>
> PS the books appear to call it Sudoku, but a Soduko by any other name
> would be just as addictive..... You say Soduko, I say Sudoku,.........
> let's call the whole thing off!
>
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