A self-complement magic square of order 9

There is another interesting example of a self-complement magic square on the magic pages of Harvey Heinz. This symmetrical magic square of order n=9 is also composite. It consists of nine order-3 symmetrical magic squares themselves arranged as an order-3 magic square.

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You will get another symmetrical magic square, which is also self-complement, if you rotate each order-3 square by 90°.

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And another self-complement symmetrical magic square, if you rotate each order-3 square by 180°.

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And, easy to guess, also rotations by 270° will produce another self-complement symmetrical magic square.

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