CHAPTER 01
The 64 hexagrams start as 2 to the sixth power.
Each line has two basic states: yin or yang. Six positions, read bottom-to-top, produce 2^6 possible structures. That is the mathematical skeleton of the 64 hexagrams.
line in { yin, yang }
6 line positions
2^6 = 64 possible hexagrams
CHAPTER 02
Every hexagram is also two trigrams stacked together.
The lower three lines form the lower trigram; the upper three lines form the upper trigram. Eight trigrams stacked in pairs make 8 x 8 = 64 combinations. Hexagram Cast shows trigram composition, sequence, and binary structure on each archive page.
Lower trigram
Lines 1, 2, and 3: the lower half of the structure.
Upper trigram
Lines 4, 5, and 6: the upper half of the structure.
CHAPTER 03
The King Wen sequence is a reading order, not binary sorting.
The Hexagram Cast archive follows the received King Wen sequence while preserving structural fields such as trigram composition, nuclear hexagram, opposite hexagram, and inverse hexagram. You can read traditionally or inspect structurally.
Explore all 64 hexagrams