Really? Do you know how to do a 6 x 6? I don't know how to do those.

Please take a look of this web for constructing 4n+2 magic squares.

The Other Series Solution
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So the 4 x 4 square I showed you will become:

00 32 31 03

23 11 12 20

13 21 22 10

30 02 01 33

So if I (finally) have the definition of a regular square correct, this square is not regular.

-Dan

The flaw in my construction method is probably that the methods I know also cause the diagonals to have the same sum as the rows and columns. I don't know if that can be done for a regular square.