Plimpton 322: The World's Oldest Trigonometric Table, Predating Greek Math by 1,000 Years — E8 Intelligence Research

FINDING: Plimpton 322 is a 3800-year-old Babylonian clay tablet containing 15 rows of Pythagorean triples, now understood as the world's oldest trigonometric table, predating Greek trigonometry by over 1000 years. | MATH: Each row lists a pair of numbers (a, c) from a right triangle with sides (a, b, c) satisfying a² + b² = c². The triples are generated using reciprocal pairs (x, 1/x) in base-60, yielding ratios b/a = (x² - 1)/(2x) and c/a = (x² + 1)/(2x). Key constants: base-60 (sexagesimal) place-value system; exact ratios include 0.5, 0.6, 0.75, 1.333..., 1.666..., etc., derived from regular numbers (2^a·3^b·5^c). | CONNECTION: The triples correspond to rational approximations of the golden ratio φ = (1+√5)/2 ≈ 1.618, with some rows yielding b/a ratios near 0.618 (1/φ) and 1.618 (φ). The base-60 system aligns with 60° symmetry in hexagonal/crystallographic lattices (e.g., 60°, 120° angles). The tablet's structure mirrors a secant table: c/b = 1/sin(θ), with angles decreasing in regu Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com