| -51 | 55 | -26 | 30 | -64 | 60 | -21 | 17 |
| 43 | -47 | 2 | -6 | 40 | -36 | 13 | -9 |
| -48 | 44 | -5 | 1 | -35 | 39 | -10 | 14 |
| 56 | -52 | 29 | -25 | 59 | -63 | 18 | -22 |
| 46 | -42 | 7 | -3 | 33 | -37 | 12 | -16 |
| -54 | 50 | -31 | 27 | -57 | 61 | -20 | 24 |
| 49 | -53 | 28 | -32 | 62 | -58 | 23 | -19 |
| -41 | 45 | -4 | 8 | -38 | 34 | -15 | 11 |
說明:
(1) 組成數: 正負的1~64
(2) 行,列,兩對角線,對摺的等分2階子陣的8個數,k(1,2) =0 ,( k=1時,幻差是0,k=2時,幻平方差是0 )
如: -51 k +55 k -26 k +30 k -64 k +60 k -21 k +17 k
= - 51 k - 47k - 5 k - 25 k +33 k +61 k +23 k +11 k
=- 51 k +43 k - 48 k +56 k +46 k - 54 k +49 k - 41 k
= 0
|
-51 k |
55 k |
+ |
-21 k |
17 k |
= 0 = |
-5 k |
1 k |
+ |
7 k |
-3 k |
|
43 k |
-47 k |
13 k |
-9 k |
29 k |
-25 k |
-31 k |
27 k |
(3) 完美型k(1) =0
如: 43+44+29-3-57-58-15+17
= …
= -9-10-63+33+27+28+45-51
= …
= 0
(4) 奇數半歸心,圖A表示
(5) 正負的1~32半歸心: 8階k (1,2) =0幻方A(正負的1~32半歸心型)
-51
55
-26
30
-64
60
-21
17
43
-47
2
-6
40
-36
13
-9
-48
44
-5
1
-35
39
-10
14
56
-52
29
-25
59
-63
18
-22
46
-42
7
-3
33
-37
12
-16
-54
50
-31
27
-57
61
-20
24
49
-53
28
-32
62
-58
23
-19
-41
45
-4
8
-38
34
-15
11