Plimpton 322: A Babylonian Sexagesimal Trigonometric Table of Secant-Squared Values — E8 Intelligence Research

FINDING: Plimpton 322 is a base-60 trigonometric table of secant-squared values (or cotangent-squared ratios) for 15 right triangles, not merely a list of Pythagorean triples; its reconstruction reveals a systematic sexagesimal function-value system. MATH: - Tablet columns correspond to: (diagonal)²/(short side)² = sec²(θ) = 1 + cot²(θ), with values in base-60. - Rows yield exact ratios: e.g., row 1 gives sec²(θ) = 1;59,15,33,26,40 (base-60) ≈ 1.9834, implying cot(θ) ≈ 0.9916. - Reconstructed algorithm: generate pairs (p,q) with p>q, coprime, opposite parity → sides: a = p²−q², b = 2pq, c = p²+q². The tablet lists (c/a)² = sec²(θ) for θ = arctan(b/a). - Base-60 constants: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 appear as regular numbers (divisors of 60), enabling exact reciprocals. - The arXiv reconstruction (2112.13379) shows a coefficient system: ratios like 1;15, 1;20, 1;30, 1;40, 2;00 (base-60) = 1.25, 1.333…, 1.5, 1.666…, 2.0 — all rational, regular in base-60. CONNEC Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com