From: "Edward D. Collins" Subject: Re: Minimal number of move for a Knight to go on every square of the board Date: Tue, 19 Jan 1999 04:52:09 -0700 Newsgroups: rec.games.chess.analysis,rec.games.chess.misc,sci.math Keywords: A knight's tour > There are (at least) two 16s and two 19s. I couldn't find a 13. > Are you sure this is the right diagram? Good eye! The book that I own where I pulled this out from is very hard to read. Still, that's no excuse. I should have double-checked myself. The last 16 should be 15. The first 19 is the missing 13. Here's the diagram again: ----------------------- |22|25|50|39|52|35|60|57| --|--|--|--|--|--|--|-- |27|40|23|36|49|58|53|34| --|--|--|--|--|--|--|-- |24|21|26|51|38|61|56|59| --|--|--|--|--|--|--|-- |41|28|37|48| 3|54|33|62| --|--|--|--|--|--|--|-- |20|47|42|13|32|63| 4|55| --|--|--|--|--|--|--|-- |29|16|19|46|43| 2| 7|10| --|--|--|--|--|--|--|-- |18|45|14|31|12| 9| | 5| --|--|--|--|--|--|--|-- |15|30|17|44| 1| 6|11| 8| ----------------------- - Ed ============================================================================== From: "Edward D. Collins" Subject: Re: Minimal number of move for a Knight to go on every square of the board Date: Sat, 23 Jan 1999 09:02:48 -0700 Newsgroups: rec.games.chess.analysis,rec.games.chess.misc,sci.math A "semi magic square" in which each of the columns add up to 260, can be found in the chess section of my homepage. The URL that will take you directly there is: http://www.inficad.com/~ecollins/knights-tour.htm It's the bottom one of the four given. Best regards, |'-''-'| ___ __ _ |______| (_ _/ _ _ _/ / ) / ) //' _ |====| /__(/((/(// (/ /(_/. (__()((//)_) | | | | ecollins@inficad.com |____| |====| Edward D. Collins proudly presents... /======\ his very own homepage! (________) http://www.inficad.com/~ecollins > ".... A magic square for a KNIGHT'S TOUR is not possible."