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 ...

 

 

                                     3x3 magic square

 

1

 

   

8

1

6

3

 

 

   

3

5

7

4

 

2

   

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

 

Download
3x3, knight movement method.xls
Microsoft Excel werkblad 26.5 KB