Diagonal method of Yang Hui

 

Use the diagonal method of Yang Hui to construct a 5x5 symmetric magic square:

 

                                                                            5x5 symmetric magic square

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

 

 

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, diagonal method Yang Hui.xls
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