The Law of the Squares

 

The normal count and order of numbers placed in 4 rows of 4 columns, 1-16.


1 2 3 4 =10
5 6 7 8 =26
9 10 11 12 =42
13 14 15 16 =58
=34 =28 =32 =36 =40 =34

1 5 9 13 =28
2 6 10 14 =32
3 7 11 15 =36
4 8 12 16 =40
=34 =10 =26 =42 =58 =34

Notice below the diagonal rows numbers remain in the same positions, the colored squares.

The only numbers changed are the two middle numbers on each side, they are swapped with the opposite side, and reversed.

 

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

 

1 15 14 4 =34
12 6 7 9 =34
8 10 11 5 =34
13 3 2 16 =34
=34 =34 =34 =34 =34 =34