King Wen sequence

The King Wen sequence of the I Ching is a series of sixty four broken and unbroken lines, representing yin and yang respectively.

The King Wen is traditionally considered the second–oldest formal arrangement of the hexagrams, preceded only by the Fu Hsi. The historical legend is that King Wen designed this sequence in 1143 BC while imprisoned by the tyrant Chou Shin.

There have been many attempts to find an underlying mathematical structure to this pattern.

Contents

Notable characteristics

The 64 hexagrams are grouped into 32 pairs. The second partner in each pair is created by inverting the first. In 4 of these pairs inversion of either hexagram effects no change (in which case all six lines will change). Therefore eight of the 64 hexagrams can be rotated 180° without change. The number of lines that change between pair partners is always even (either 2, 4, or 6).

In moving from one hexagram to the next a minimum of one line must change. There are no instances in which five lines change. There are nine cases in which all six lines change.

The ratio of even to odd numbers of line changes between the hexagrams is exactly 3:1

Chessboard presentation

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See also

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