Order 30

Below are magic squares of order 30, 36 and 40 with 22. The magic square of order 30 is made with equal sums blocks of order 6. The blocks giving number 2 twice is made from bordered magic square of order 6. There are total 25 blocks of order 6 with equal sums 2703 and magic sum of order 30 is 13515. The blocks of order 4 in bordered magic square of order 6 are also of equal sums, i.e., 1802. See below the magic square:

Magic Square of Order 30 With 22

Order 36

Below is a a magic square of order 36 made from consecutive number 1 to 1296. It contains 14 equal sums bordered magic squares of order 8 and 25 equal sums pandiagonal magic squares of order 4. If we consider 14 pandiagonal magic squares of order 4 appearing in 14 bordered magic squares of order 8, then there are 39 pandiagonal magic squares of order 4 with equal magic sums 2594. The magic square of order 36 is with magic sum 23346.

The 14 bordered magic squares of 8 represents twice number 2, i.e., year 22. Moreover, the design itself is 180 degrees rotatable (upside-down) but not the numbers.

Magic Square of Order 36 With 22

Order 40

Below is a a magic square of order 40 made from consecutive number 1 to 1600. It contains 16 equal sums bordered magic squares of order 8 and 36 equal sums pandiagonal magic squares of order 4. If we consider 16 pandiagonal magic squares of order 4 appearing in 16 bordered magic squares of order 8, then there are 52 pandiagonal magic squares of order 4 with equal magic sums 3202. The magic square of order 40 is with magic sum 32020.

The 16 bordered magic squares of 8 represents twice number 2, i.e., year 22. Moreover, the design itself is 180 degrees rotatable (upside-down) but not the numbers.

Magic Square of Order 40 With 22

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