Basic key method

 

The basic key of the 4x4 most perfect magic square is:

 

 

0 1    
    0 1

 

 

The sum of each column must be (0+3=) 3

 

 

0 1 3 2
3 2 0 1

 

 

Copy and paste the first two rows to complete the first grid .

 

The second grid is a reflection of the first grid

 

Take 1x digit from first grid and add 4x digit +1 from second grid to get a most perfect (= panmagic) 4x4 magic square.

 

 

 1x digit                       +       4x digit +1                  =       panmagic 4x4

0 1 3 2     0 3 0 3     1 14 4 15
3 2 0 1     1 2 1 2     8 11 5 10
0 1 3 2     3 0 3 0     13 2 16 3
3 2 0 1     2 1 2 1     12 7 9 6

 

 

You can use this method to construct a most perfect magic square which is a multiple of 4 (= 4x4, 8x8, 12x12, ... magic square).

 

 

Download
4x4, basic key method.xls
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