Life & fun · December 14, 2025
I Ching simulator with accurate Yarrow Stalk probabilities
I built this because I wanted a digital I Ching that honors the original math, rather than just Math.random(). Technical detail for the curious: The simulation follows the traditional Yarrow Stalk algorithm (Da Yan). The core of this algorithm relies on modulo-4 arithmetic on the stalks remaining after a random split. To make it physically realistic, I used a Box-Muller transform to simulate the user splitting the stalks with a Gaussian distribution (since humans naturally tend to split near the middle), rather than a uniform random split. I was worried this 'human bias' might skew the…
I Ching simulator with accurate Yarrow Stalk probabilities launched on December 14, 2025 with 63 votes, #412 of 11,628 launches that month and more than 95% of that year's launches.
In plain words
This I Ching simulator uses the traditional Yarrow Stalk algorithm (Da Yan) rather than simple random number generation. It models how humans actually split stalks by applying a Gaussian distribution through Box-Muller transform, simulating the natural bias toward middle splits. The creator verified through Monte Carlo simulation that this realistic approach maintains the original mathematical probabilities, with remainder distribution staying within 0.05% of the expected 25% for each outcome. It's designed for users seeking authentic I Ching divination grounded in both traditional methods and computational precision.
written from the facts on this page · September 2026
From the sources
Free I Ching online reading using 3 coins or yarrow stalks. Features exclusive Bradford Hatcher insights. 100% free, no sign-up, get instant insights.
Ancient wisdom for modern questions. Your trusted free platform to cast and consult the I Ching online. I Ching divination isn't a Magic 8-Ball. Learn how to frame your questions for answers that actually hit home. Learn how coin sides map to Yin and Yang, and how the four totals create stable and changing lines. A single hexagram is just a snapshot. Master the moment by understanding the hidden dimensions of your reading. Learn to read your own hexagram one layer at a time, with one focused lesson each day. The complete list of meanings, symbols, and interpretations for all 64 hexagrams used in I Ching online. Yes. Our free I Ching online platform uses strict algorithms to meticulously…from castiching.com
In the maker’s words, at launch
I built this because I wanted a digital I Ching that honors the original math, rather than just Math.random(). Technical detail for the curious: The simulation follows the traditional Yarrow Stalk algorithm (Da Yan). The core of this algorithm relies on modulo-4 arithmetic on the stalks remaining after a random…
Does a similar job
all alternatives →- TKThe King Wen Permutation: [52, 10, 2]Mar 2026 · gzw1987-bit.github.io · ▲65
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.
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