Siamese method

 

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

 

 

3x3 magic square 

8

1

6

3

5

7

4

9

2

 

 

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 3x35x57x79x911x1113x1315x1517x1719x1921x2123x2325x2527x2729x29 and 31x31

 

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3x3, Siamese method.xls
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