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Knight Tour Start at any corner and continuously rotate in the same direction around the board moving on the outermost squares.

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Presentation on theme: "Knight Tour Start at any corner and continuously rotate in the same direction around the board moving on the outermost squares."— Presentation transcript:

1 Knight Tour Start at any corner and continuously rotate in the same direction around the board moving on the outermost squares

2 Knight Tour 5,1 3,2 4,4 5,2 3,3 2,5 1 8 19 14 3 1,3 21 4,2 18 13 2 9 20 5,4 3,5 1,4 7 24 21 4 15 2,2 4,1 5,3 12 17 6 23 10 4,5 2,4 1,2 25 22 11 16 5 3,1 4,3 5,5 3,4 1,5 3,2 1,1

3 Knight Tour Step-by-step 5,1 3,2 4,4 5,2 3,3 2,5 1,3 21 4,2 5,4 3,5
8 19 14 3 1,3 21 4,2 18 13 2 9 20 5,4 3,5 1,4 7 24 21 4 15 2,2 4,1 5,3 12 17 6 23 10 4,5 2,4 1,2 25 22 11 16 5 3,1 4,3 5,5 3,4 1,5 3,2 1,1

4 Closed (Re-entrant) Knight Tours
Grandmaster George Koltanowski, copyright(C) 2000, San Francisco Chronicle More Info: click here

5 KT’s Tessellations More Info: click here

6 Order 16 Magic and Semi-Magic Square Closed Knight Tours
256 More Info: click here

7 Semi-Magic Square Knight Tours
More Info: click here

8 Starting with two black and two red knights positioned as in the box labelled "0", and using only knight's moves, show how to exchange the positions of the black and red knights in seven moves.


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