The King Wen Permutation: [52, 10, 2]
I analyzed two orderings of the 64 I Ching hexagrams and found the permutation cycle decomposition between them is [52, 10, 2] with zero fixed points. Nobody has done this kind of analysis before and this cycle type has not been reported in the literature. You can verify it yourself.
The King Wen Permutation: [52, 10, 2] launched on March 23, 2026 with 65 votes, #680 of 23,380 launches that month and more than 95% of that year's launches.
In plain words
The King Wen Permutation is a mathematical analysis of two different orderings of the 64 I Ching hexagrams. The creator discovered that the permutation cycle decomposition between these orderings is [52, 10, 2] with zero fixed points—a result not previously documented in existing literature. The work is presented with full transparency, inviting users to verify the analysis themselves. It is designed for scholars and enthusiasts of the I Ching interested in its underlying mathematical structures.
written from the facts on this page · September 2026
From the sources
Cycle decomposition of the permutation between two classical I Ching hexagram orderings in S₆₄
The 64 hexagrams of the I Ching have two canonical orderings: the binary natural order (0–63) and the King Wen sequence (~1000 BCE). Treating the map between them as a permutation in S₆₄, its cycle decomposition yields [52, 10, 2] with zero fixed points (P≈0.37 for random permutations). 81% of hexagrams are in one orbit, meaning the reordering is highly coupled rather than a collection of small local swaps. We have not found this cycle type discussed in the literature wefrom gzw1987-bit.github.io
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