### Knight movement method

Put number 1 in the middle of the top row. Put the numbers 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 number n+1 below number n. Put the numbers n+2 up to 2n each time 1 cell to the right and 2 cells down. Put number 2n+1 below number 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.

See 3x35x57x79x911x1113x1315x1517x1719x1921x2123x2325x2527x27,  29x29 and 31x31

11x11, Knight movement method.xls