Knight movement method

 

Put digit 1 in the middle of the top row. Put the digits 2 up to n (= lenght of the square) each time (using a chess knight movement) 1 cell to the right and 2 cells down. Put digit n+1 below digit n. Put the digits n+2 up to 2n each time 1 cell to the right and 2 cells down. Put digit 2n+1 below digit 2n. Etcetera ...

 

 

                                                5x5 symmetric magic square

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

 

 

You can use this method to construct magic squares of odd order from 3x3 to infinite and you get a symmetric (but not pan)magic square.

 

 

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5x5, Knight movement method.xls
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