[Magictour] Re: Welcome !

JC:

>Pierre Berloquin just joined us.
>
>This is a small private space to talk about magic knight tours.
>
>People on the list:
>
>- Gunter Stertenbrink, who designed the idea of start/ending tours, and
>provided the first programs to search tours.
>- myself, who rewrote the code using assembly generated program. I spent a
>lot of time trying to get the best possible speed on the Pentium 4.
>- George Jelliss, the world knight tour specialist, who maintains the
>complete list of magic knight tours. He has some work with our recent
>progress :-)
>- Tim Roberts who found 2 new tours recently, using a very good computer
>program (I stole his idea of adjacency, and improved it)
>- Hugues MacKay, who is putting all his efforts to compute the tours alone.
>He uses 2 computers: one P4 3Ghz, and one Laptop (?). In 2 weeks, he
already
>finished around 40% of the work.
>- Pierre Berloquin, the most famous french puzzlist. He has interest in
>knight tours since, well, I was baby :-)
>
>If you find other people that share the same interest, please invite them.

Ed Pegg, (second most famous US- puzzlist, after Martin Gardner ?)
Mario Vellucci, (most ? famous chess-puzzlist)

>Here, we talk about the current progress of the 8*8 magic tour, and
possible
>extensions.
>Since a distributed project can be setup in a few days, it would be cool if
>we explore the most interesting directions where we can go.
>For example: exploring 12*12 diagonal magic tours, or 8*8 with strange
>leapers.
>The program is ready, and we can distribute it to solve these problems with
>interested people (I know where we could recruit people).

you mean, you can easily change your actual program for similar problems ?


where can we get some good information about what is actually known ?
Preferrably a good online survey , quick to read.
Something like Jelliss' "General Theory of Magic Knight's Tours" ,
which can be recommended ? I checked Jelliss' other pages,
seems that there is nothing about magic leaper tours or
tours on a torus, or 3d-tours etc.


I'd like magic knight tours on a torus. JC, it should be easy
to change your program for that.
Can we expect some additional SMKTs on a torus ?


Earlier I proposed to consider magic sums in torus-knight-directions,
but that's apparantly the same as magic Wezir torus tours if we assign
the board:

a1,b3,c5,d7,e1,f3,g5,h7
c2,d4,e6,f8,g2,h4,a6,b8
e3,f5,g7,h1,a3,b5,c7,d1
g4,h6,a8,b2,c4,d6,e8,f2
a5,b7,c1,d3,e5,f7,g1,h3
c6,d8,e2,f4,g6,h8,a2,b4
e7,f1,g3,h5,a7,b1,c3,d5
g8,h2,a4,b6,c8,d2,e4,f6

so, are the semimagic Wezir tours on a torus known ?
Similarly Wazir torus tours with constant sums in knight-directions
should be dual to torus SMKTs


Guenter


Magictour mailing list
To unsubscribe: mailto:magictour-request@ml.free.fr?subject=unsubscribe
To mail to the mailing list: mailto:magictour@ml.free.fr


Received on Thu Dec 04 14:24:18 2001