Hexagram Relationships

The following are the most common hexagram relationships:

• Second hexagram. This is the hexagram obtained from taking the opposite line of the changing lines present in the first hexagram. Fig. illustrates the idea: the first hexagram is ``Wei Chi / Before Completion'' (No. 64), while the second (on the right) is ``P'i / Standstill'' (No. 12).

Figure: Example

• The Hsu Kua / Xugua: Sequence. This is the preceding hexagram. The explanation of the Sequence begins with Hexagram 3.
• The Contrast (based on the Tsa Kua / Zagua). This is obtained by turning the hexagram upside down.
• The Shadow. Also referred as complement or opposite. It is created by turning every line into its opposite. See table .

Table: Complementary Hexagrams, also known as ``opposite'' and ``shadow''.

Main	Shadow
1	2
3	50
4	49
5	35
6	36
7	13
8	14
9	16
10	15
11	12
17	18
19	33
20	34
21	48
22	47
23	43

Main	Shadow
24	44
25	46
26	45
27	28
29	30
31	41
32	42
37	40
38	39
51	57
52	58
53	54
55	59
56	60
61	62
63	64

.

• Nuclear (Mutual Gua): Let the lines of the main hexagram be numbered from bottom upward: 123,456. The nuclear hexagram is then formed from the central lines: 234,345. See table .

Table: Nuclear Hexagrams.

Main	Nuclear
1	1
2	2
3	23
4	24
5	38
6	37
7	24
8	23
9	38
10	37
11	54
12	53
13	44
14	43
15	40
16	39
17	53
18	54
19	24
20	23
21	39
22	40
23	2
24	2
25	53
26	54
27	2
28	1
29	27
30	28
31	44
32	43

Main	Nuclear
33	44
34	43
35	39
36	40
37	64
38	63
39	64
40	63
41	24
42	23
43	1
44	1
45	53
46	54
47	37
48	38
49	44
50	43
51	39
52	40
53	64
54	63
55	28
56	28
57	38
58	37
59	27
60	27
61	27
62	28
63	64
64	63

• Step of Change (Zhi Gua): When a consultation results in more than one changing line, the step of change is obtained by changing each line individually, as if it were the only one.
• The Fan Yao (or paired line): The line of the Zhi Gua in the same position as the changing line that generated this Zhi Gua. This can be found directly from the Zhi Gua.