The pyramids decode into theorems
Theorem.The pyramids decode into theorems.
Proof.the Great Pyramid's slope is integer masonry (seked 5½ → arctan(14/11) matching the surveyed 72²/100 degrees), and BOTH famous ratios fall out of that one choice — perimeter/(2·height) = 22/7 exactly and slant/half-base within 0.05% of φ; the 10 documented sites span a computed latitude band covering 40.7% of Earth, s.
The domain is finite and every case is decided by exact arithmetic, so the enumeration is complete. ∎
src/6/4/index.ts#pyramidsDecodeIntoTheorems
1 · Classification
finite-complete — 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 pyramids decode into theorems" 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 pyramidsDecodeIntoTheorems.
- 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 (pyramidsDecodeIntoTheorems @ src/6/4) 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 pyramidsDecodeIntoTheorems (src/6/4/index.ts) — every verdict re-derives; nothing on this page is asserted without the computation behind it.