Siamese method

 

Put digit 1 in the middle of the top row. Put the digits 2 up to n (= length of the square) each time one cell diagonal up and to the right. Put digit n+1 below digit n. Put the digits n+2 up to 2n each time one cell diagonal up and to the right. Put digit 2n+1 below digit 2n. Etcetera ...

 

 

5x5 symmetric magic square

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

 

 

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

 

 

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5x5, Siamese method.xls
Microsoft Excel werkblad 8.7 KB