Man, I spent way too long confused about the I Ching. You hear about the 64 Hexagrams, and it just sounds like some impenetrable ancient library written by philosophers who had nothing better to do than count sticks. I’m a practical guy, right? I needed to use this thing, not just stare at it mystified. My goal was simple: strip away the mysticism and figure out the damn math. I wanted a cheat sheet that instantly showed me how the core eight Trigrams blow up into the full 64 permutations.
I kicked off this whole project because I was trying to organize my garage shelves, which had somehow devolved into pure chaos. My wife had walked in, taken one look at the mess of old tools and half-used paint cans, and said, “It looks like the Earth trigram is overwhelming Heaven in here.” That stuck with me. If everything relates back to these basic energies, I needed to see the blueprint.
Deconstructing the Trigrams: The Building Blocks
The first thing I tackled was the Trigram itself. Forget the names for a second. I realized they are just binary code, three lines long. A solid line (Yang) is 1. A broken line (Yin) is 0. That’s it. Three positions, two options each. I calculated it fast: $2 times 2 times 2$. Eight possibilities. Done.
I grabbed a massive sheet of butcher paper and mapped out the eight primary forces, the Trigrams (Bā Guà). I wrote down the common English names next to them, just to keep track:

- Qian (Heaven) – three solid lines.
- Kun (Earth) – three broken lines.
- Li (Fire), Kan (Water), Gen (Mountain), Dui (Lake), Xun (Wind), Zhen (Thunder).
I memorized those eight. That wasn’t the hard part. The hard part was understanding how those eight simple states transform into 64 complex situations. I mean, 64 is a big jump from 8, and the names for those 64 hexagrams are often super confusing.
The Stacking Strategy: Building the 8×8 Grid
The second stage of my practice was the realization: A Hexagram is just one Trigram stacked on top of another Trigram. Six lines total. It’s a multiplication problem, not some weird organic growth. If I have 8 options for the bottom (the Inner Trigram, representing the core situation or self) and 8 options for the top (the Outer Trigram, representing external influence or the future), I simply multiply them: $8 times 8 = 64$.
This is where I got serious. I scrapped the tiny notebook I was using and started building the master matrix on that butcher paper. I labeled the horizontal axis with the 8 Upper Trigrams (Qian, Kun, etc.) and the vertical axis with the 8 Lower Trigrams. This was the structure I needed to decipher the whole dang book instantly.
Then I went through and filled in every single intersection. For example:
- If I stacked Heaven (Qian) on top of Heaven (Qian), I got Hexagram 1: The Creative (Qian/Qian). Pure power.
- If I stacked Water (Kan) on top of Fire (Li), I got Hexagram 63: Completion (Jì Jì).
I spent a good three hours just doing the manual labor of looking up which Hexagram number/name corresponded to each stack. The simple act of drawing the grid and filling it out physically cemented the logic in my brain better than reading ten books ever could. I realized that the Hexagrams aren’t organized randomly in terms of their meaning; they are organized mathematically by their component parts.
The Practical Payoff and Why I Bothered
The greatest realization came when I finished the table. If I ever cast a hexagram now, I don’t need to look up the meaning in isolation. I just identify the top and bottom Trigrams and I instantly have 80% of the meaning. It’s like knowing the subject and the verb of a sentence before looking at the adjectives. For example, if I get Hexagram 33, Retreat (Tian Shan Dun), I instantly see Mountain (Gen) over Heaven (Qian). Mountain is stopping/restraint. Heaven is active power. Retreat makes perfect sense: powerful action is restrained by standing still.
This whole deep dive, this obsessive need to chart 64 permutations, actually came from a completely idiotic situation. I had started a small side gig helping local businesses build simple WordPress sites, but I ran into a huge technical debt issue on the first project. The database was a disaster, and I spent two solid weeks just mapping out the structure, trying to find the primary keys and relationships.
I remember I was sitting there, staring at this monstrous spreadsheet of tangled SQL tables, and I thought, “This database is so messed up, it must mirror some deeper, universal principle of chaos.” That night, I poured myself a cup of tea, pulled out the old I Ching book I had, and decided if I could map the connections between 8 forces into 64 possibilities, I could certainly map this terrible database structure. The I Ching project was actually just a distraction that provided a framework for solving a real-world, highly boring technical problem. It worked, too. Once I saw the structure in the I Ching, I applied the same doubling/stacking logic to the database tables, and finally cracked the relationship hierarchy. The whole “Book of Changes” is just a quick, complicated, ancient database schema, and I finally owned the query key.
Now, I just keep that single 8×8 chart taped up in my workspace. It deciphers the entire system faster than any app could, just by showing the pure relationship between the 8 core forces. It’s honestly the only thing you truly need to master the basics.
