JC wrote:
>I can easily modify the current program to handle the diagonals.
>If you think that an enumeration of all 12x12 tours is of interest, I can
>easily build a project, and publicize it. I bet we can get more than 50
>people computing for this project within 3 months, with some publicity.
I don't like the diagonals. They are not "mathematical" .
If we use diagonals, then I would like to use all 24 diagonals
with the board on a torus
>I'm now quite strong with distributed projects, so I can handle all the
>automatic tools, except for updating the index page :-)
can't you make the participants to do it by themselves ?
>> Perhaps he should be included in this mailing list. I've asked him if he
>> would be interested.
yes, maybe we should make it public so everybody can join ?
JC will hopefully ban the spammers
>Feel free to explain him how to join (simply mail to
>magictour-request@ml.free.fr with the subject subscribe, then reply to the
>second message sent by the server).
did Fei Lu join ?
>This list is really private, so it is strongly recommended that you invite
>all people that you know who are interested in knight tours, also I setup
>the server so that we cannot receive spam.
oops, OK. I see. So not open to everybody. We're still having secrets
at this point ;-)
>I'm sure we can share valuable tricks about programs, ideas, or even
further
>developments.
>Now that we have monsters running at 3Ghz and a simple interface, we can
>surely solve some problems that have never been explored.
this is an interesting field to fight the battle of human ingenuity
as demonstrated on Jelliss' pages vs. brute force computer power
as in JC's program !
Well, the computers _must_ win one day, since they are much faster.
But implementing complicated and intelligent algorithms to perform
the tasks could be more difficult than to prove or search directly
by human power !
On the other hand current computer calculations seem pretty useless
on a historic scale as long as computers are getting ever faster.
Just waiting 2 years halfs the effort ! And what's two years compared
to the timescale of magic knight tour's history.
Probably a cooperation human+computer is most promising :
Design some partial-tour and the check by computer whether it can be
completed.
>Also, it may be interesting that you ask for an update of the mathematical
>Bible:
>http://mathworld.wolfram.com/MagicTour.html
>
>JC
... and make an entry in Sloane's EIS :
0,0,0,0,0,0,0,140,0,0,0, (numer of SMKTs on an n*n-board)
what about 3 dimensional-tours BTW. ?
Guenter
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Received on Thu Dec 04 14:24:18 2001
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