Diagonal method of Yang Hui

 

A ‘trick’ to construct the 3x3 magic square is the diagonal method of Yang Hui:

  

                                                3x3 magic square

 

 

1

 

 

 

 

 

 

 

 

4

 

2

 

 

 

4

9

2

7

 

5

 

3

 

 

3

5

7

 

8

 

6

 

 

 

8

1

6

 

 

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.

 

See 3x35x57x79x911x1113x1315x1517x1719x1921x2123x2325x2527x2729x29 and 31x31

 

Download
3x3, diagonal method Yang Hui.xlsx
Microsoft Excel werkblad 10.1 KB