Comment by roadside_picnic 13 hours ago
The hexagrams can be modeled with only 6-bits, but this does not contains enough information for a proper reading of I Ching which also need to account for line changes. So there are really 4 lines: young yin, old yin, young yang, old yang.
A fundamental part of I Ching reading is the implication that each present state is in the process of transforming to another.
This is a great project btw! I've long been fascinated by the 易经 especially the different probability distributions associated with the different methods of generating the lines. It's been a while but I used to have an actual set of yarrow stalks!
Thank you! That means a lot coming from someone who appreciates the probability mechanics behind it.
Since you have experience with the actual stalks, I think you'll like the update I just pushed: I’ve fully integrated the classic Wilhelm/Baynes text to ensure the reading has that authentic, traditional grounding you mentioned.
I also added a way to generate a visual card of the result—trying to bring back a bit of that 'tangible artifact' feel of the physical ritual. :)
Spot on! This is exactly why a simple Math.random() > 0.5 binary flip isn't enough for a proper simulation.You are right that we are mathematically dealing with base-4 logic (6, 7, 8, 9), not just base-2.While there are only 64 hexagrams ($2^6$), there are actually 4,096 possible casting results ($4^6$) when you account for the moving lines. My algorithm is designed specifically to capture the distinct probabilities for all 4 states.