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.

  • 172395312564248
    550224619431560
    136438362927152
    473353134306218
    74253728406158
    63593226393362
    571644204521498
    5141551154102414
  • arrow
  • 484256125392317
    601543194622505
    521272936386413
    186230343135347
    58614028372547
    26333926325963
    849214520441657
    1424105411554151

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.

  • 172395312564248
    550224619431560
    136427293638152
    473303431356218
    74402837256158
    63593339263262
    571644204521498
    5141551154102414
  • arrow
  • 484256125392317
    601543194622505
    521383629276413
    186235313430347
    58612537284047
    26322639335963
    849214520441657
    1424105411554151

And even more: you will also get another self-complement magic square, if you replace the integers in the frame with their complementary numbers.

  • 484256125392317
    601543194622505
    521383629276413
    186235313430347
    58612537284047
    26322639335963
    849214520441657
    1424105411554151
  • arrow
  • 172395312564248
    550224619431560
    136427293638152
    473303431356218
    74402837256158
    63593339263262
    571644204521498
    5141551154102414