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.
17
23
9
53
12
56
42
48
5
50
22
46
19
43
15
60
13
64
38
36
29
27
1
52
47
3
35
31
34
30
62
18
7
4
25
37
28
40
61
58
63
59
32
26
39
33
6
2
57
16
44
20
45
21
49
8
51
41
55
11
54
10
24
14
48
42
56
12
53
9
23
17
60
15
43
19
46
22
50
5
52
1
27
29
36
38
64
13
18
62
30
34
31
35
3
47
58
61
40
28
37
25
4
7
2
6
33
39
26
32
59
63
8
49
21
45
20
44
16
57
14
24
10
54
11
55
41
51
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.
17
23
9
53
12
56
42
48
5
50
22
46
19
43
15
60
13
64
27
29
36
38
1
52
47
3
30
34
31
35
62
18
7
4
40
28
37
25
61
58
63
59
33
39
26
32
6
2
57
16
44
20
45
21
49
8
51
41
55
11
54
10
24
14
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.