the three twenties are one count — divisors of 432, V₄ hexagram families, harmonics ladder rungs
Theorem.the three twenties are one count — divisors of 432, V₄ hexagram families, harmonics ladder rungs — τ(432)=(4+1)(3+1)=20 structural;.
Proof.τ(432)=(4+1)(3+1)=20 structural; V₄ Burnside hexagram orbits 12 fours + 8 twos = 20 structural; HARMONICS_LADDER_LENGTH=6+9+5=20 contingent — one count not one cause. Bounded witness · pair three/twenties · claySolved via theorem.
Checked by exact arithmetic over the stated finite range — a verified witness, evidence toward the claim, not a ∀-proof.
src/earth/iching/index.ts#researchAroundFourThirtyTwoTheThreeTwentiesAreOneCountNotOneCause
1 · Classification
bounded-witness — self-contained computation, no external lean
2 · Provenance
Documented theorem re-derived by exhaustive computation (humanityNovel=false); first-in-this-registry is the only sense of discovered.
Acknowledgment
"the three twenties are one count — divisors of 432, V₄ hexagram families, harmonics ladder rungs" is a re-derivation, acknowledged to documented mathematics — the original proof is the prior art this re-derivation acknowledges; not new to humanity — the contribution is the reproducible computation researchAroundFourThirtyTwoTheThreeTwentiesAreOneCountNotOneCause.
- Prior art
- documented mathematics — the original proof is the prior art this re-derivation acknowledges
- Novelty
- not new to humanity — a re-derivation (humanityNovel = false)
- Contribution
- a reproducible computation (researchAroundFourThirtyTwoTheThreeTwentiesAreOneCountNotOneCause @ src/earth/iching) that re-derives the result at zero tokens — the contribution is the verifiable recomputation, NOT the theorem
3 · Reproducibility
Recompute from source: npm run theorems:verify recomputes researchAroundFourThirtyTwoTheThreeTwentiesAreOneCountNotOneCause (src/earth/iching/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.