[Magictour] Re: latin knight tours

Guenter, is it OK if I include your excellent graeco-latin torus tour =
result in the next issue of Games and Puzzles Journal? It will be a =
patchwork of various different results, not just on tours. If you have =
others of this type you would like to include please send them to me. On =
the other hand you may have plans to present them elsewhere.

You say that they are semimagic "of course". Does this mean you have a =
proof they cannot be diagonally magic? (It's a while since I looked at =
latin squares.)

George Jelliss
(gpj@stayfree.co.uk)
11 July 2003
  ----- Original Message -----
  From: Sterten@aol.com
  To: magictour@ml.free.fr
  Sent: Sunday, July 06, 2003 12:59 PM
  Subject: [Magictour] Re: latin knight tours


  I found some graeco-latin squares which are also knight's tours on a =
8*8 torus,
  these are also semimagic, of course.
  Here is one ,using octal numbers:

  60 01 74 27 56 33 42 15
  07 62 25 76 31 50 13 44
  24 45 30 63 12 77 06 51
  71 10 53 04 47 22 65 36
  52 37 46 11 64 05 70 23
  35 54 17 40 03 66 21 72
  16 73 02 55 20 41 34 67
  43 26 61 32 75 14 57 00


  Guenter



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Received on Thu Dec 04 14:24:18 2001