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Knight's Tour (2) (Posted on 2004-03-06) Difficulty: 2 of 5
On a normal 8x8 chessboard, find a complete Knight's Tour.

A Knight's move is as in chess, an L shaped move, 2 squares in one direction and 1 square in the other direction.)

A Knight's Tour is one where the knight passes through each square exactly once.

You may start on any square you wish.

* For extra credit, come up with a re-entrant tour: at the end, the knight is exactly one knight's move away from the starting square.

* For EXTRA extra credit, make sure that the path is, in some way, symmetrical.

Since "Knight's Tour" is a term used outside the scope of this problem, I'm sure you can find an answer on the internet. Please find an independent solution.

This does not require a computer program.

No Solution Yet Submitted by SilverKnight    
Rating: 2.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Re-entrant Knight's Tour Comment 9 of 9 |

Symmetrical Knight Tours can be done on various boards sizes such as 6x6 and 10x10.  I've found it very difficult to make a symmetrical Knight's Tour on an 8x8 board.  The first 59 moves of the following 8x8 re-entrant tour develop symmetry around the chessboard.  However, the last five moves break the symmetry, but do allow for a closed tour. 


If you connect move 59 (d5) to (b6), you have 60 squares with symmetry.

To see additional Knight Tours and how to make them, check out


  Posted by Dan on 2005-04-28 02:56:25
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