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 ...

 

 

Put digit 1 up to 7 and 8 in the square         7x7 symmetric magic square

      1           46 31 16 1 42 27 12
5                 5 39 24 9 43 35 20
        2         13 47 32 17 2 36 28
  6               21 6 40 25 10 44 29
          3       22 14 48 33 18 3 37
    7             30 15 7 41 26 11 45
    8       4     38 23 8 49 34 19 4

 

 

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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7x7, Knight movement method.xls
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