[Magictour] Re: various points arising

George Jelliss wrote:

>Personally I suspect that searching for 8x10 magic tours and higher
>is likely to be a futile exercise. I'm close to a proof of
>impossibility of magic tours on 4m x 4n+2 boards, there just
>seems to be one little step missing -- but I could be wrong of course.

I see from the other proofs on your webpage, that these only depend on the
values mod 4 in the magic rectangle.

So, is it true that you suspect, that any knight's tour on a 8*10
is impossible, where the corresponding rectangle with all move-numbers
mod 4 has constant row and column (rank and file-) - sums mod 4 ?

Has this been tested for 8*6 ?


Guenter


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Received on Thu Dec 04 14:24:18 2001