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 ...

 

 

          1          
7                    
            2        
  8                  
              3      
    9                
                4    
      10              
                  5  
        11            
        12           6

 

 

11x11 symmetric magic square

116 93 70 47 24 1 110 87 64 41 18
7 105 82 59 36 13 111 99 76 53 30
19 117 94 71 48 25 2 100 88 65 42
31 8 106 83 60 37 14 112 89 77 54
43 20 118 95 72 49 26 3 101 78 66
55 32 9 107 84 61 38 15 113 90 67
56 44 21 119 96 73 50 27 4 102 79
68 45 33 10 108 85 62 39 16 114 91
80 57 34 22 120 97 74 51 28 5 103
92 69 46 23 11 109 86 63 40 17 115
104 81 58 35 12 121 98 75 52 29 6

 

 

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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11x11, Knight movement method.xls
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