The hexagram is hex-colour

A 6-bit hexagram 000000–111111 is hex-colour duality: the 64 hexagrams are the 64 pole-colours {0,F}⁶, black ↔ white the bit-complement, the 8 trigrams the RGB-cube corners.

☵KǎnThe Abysmal

Double Torus · the eight-fold

The components, organised on the I Ching

All 162 components are placed on the eight trigrams by their own content-address — seed → a 6-bit hexagram (0–63), the upper trigram its set — using the existing 2⁶=4³ hexagram·colour·codon identity.

• ☷Kūn · Earthreceptive · mother12
• ☳Zhèn · Thunderarousing · eldest son18
• ☵Kǎn · Waterabysmal · middle son27
• ☱Duì · Lakejoyous · youngest daughter18
• ☶Gèn · Mountainkeeping still · youngest son17
• ☲Lí · Fireclinging · middle daughter24
• ☴Xùn · Windgentle · eldest daughter20
• ☰Qián · Heavencreative · father26

64 hexagrams · 8 trigrams · 162 components, content-addressed and recomputable.

☰QiánThe Creative

proof · the hexagram is hex-colour duality

A 6-bit hexagram (000000–111111, 2⁶ = 64) and a 6-digit hex colour (000000–FFFFFF) share the same six-position written form, and the 64 hexagrams ARE exactly the 64 hex colours whose every digit is a pole — the set {0,F}⁶ — with each line yin = 0, yang = F. The duality is black 000000 (all yin) ↔ white FFFFFF (all yang), the bitwise complement n ↦ 63−n, which flips every pole F↔0 to the inverse colour — the colour analogue of the digit-folder reverse (the ten's complement). The 8 trigrams are the 8 corners of the RGB cube (each channel a pole) = the 8 primary colours. THE MISSED MATH (already in sealCube: "four is the quaternary base, the two-bit digit; three is the trinity, the three axes"): the 6 lines PAIR into 3 base-4 digits — the 3 RGB channels of #RRGGBB — so 2⁶ = 4³ is that pairing, and the hexagram, the codon, the 3-qubit Pauli string and the pole-colour are the SAME object, three quaternary digits (000000 = UUU = III = #000000; 111111 = GGG = ZZZ = #FFFFFF).

checks — recomputed live in your browser

• ✓ All Distinct
• ✓ Black White Duality
• ✓ Complement Is Inverse
• ✓ Trigrams Are Cube Corners
• ✓ Pairs Into Three Base Four
• ✓ Same As Codon And Pauli
• ✓ Holds

evidence

Black

000000

White

FFFFFF

✓ all checks hold · recompute recipe — a pure function of the model seed, run client-side with zero tokens; the same seed always folds to the content-address 67a5906b-810f-8d79-acb8-7b888a8888ab. Recompute and you get the same address — that determinism is the proof.

A correspondence of NOTATION and of the {0,F}⁶ pole-subset, computed and exact — NOT a claim that the I Ching is about colour or that hex notation derives from it. The full hex-colour space is 16⁶ = 2²⁴ ≈ 16.7M colours; only its 64 all-pole corners match the hexagrams (the binary "duality" of each position, not the 16 shades each digit can take). Hex colour notation is 1970s computing; the I Ching is ~3,000 years old — the same 2⁶ combinatorics realized independently (joins the structural-not-causal caution on I-Ching mappings). The hexagram = codon = Pauli = colour identity is an isomorphism of INDEX SETS (all three base-4 digits), not a claim the bases, operators and colours are physically interchangeable.

Double Torus · the oracle

Cast a hexagram

Cast six lines; the hexagram resolves — by the same content-addressing every page and component uses — to one of the components. The architecture answering.