A self-complement magic square of order 8
The next self-complement inlaid magic square of order n=8 was found on the magic pages of Harvey Heinz. It is not symmetrical, but symmetric across the vertical center, so produces a horizontally reflected version of itself.
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But more than this: you will get a new self-complement magic square, if you replace the integers of the inlaid magic square of order n=4 with their complementary numbers.
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48 42 56 12 53 9 23 17 60 15 43 19 46 22 50 5 52 1 38 36 29 27 64 13 18 62 35 31 34 30 3 47 58 61 25 37 28 40 4 7 2 6 32 26 39 33 59 63 8 49 21 45 20 44 16 57 14 24 10 54 11 55 41 51
And even more: you will also get another self-complement magic square, if you replace the integers in the frame with their complementary numbers.
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48 42 56 12 53 9 23 17 60 15 43 19 46 22 50 5 52 1 38 36 29 27 64 13 18 62 35 31 34 30 3 47 58 61 25 37 28 40 4 7 2 6 32 26 39 33 59 63 8 49 21 45 20 44 16 57 14 24 10 54 11 55 41 51 -
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