Plimpton 322: Babylonian Base-60 Proto-Trigonometry via Pythagorean Triples — E8 Intelligence Research

FINDING: Plimpton 322 is a 3800-year-old Babylonian clay tablet listing 15 Pythagorean triples, revealing advanced number theory and proto-trigonometry based on base-60 sexagesimal system. MATH: Pythagorean triples: a² + b² = c², with a = p² - q², b = 2pq, c = p² + q² (Babylonian parameterization). Tablet uses pairs (p,q) generating ratios b²/(c² - b²) or similar normalized values. Base-60 constants: 1, 60, 3600, 216000. CONNECTION: Triples correspond to rational approximations of √2, √3, and golden ratio φ (1.618). Ratios b/c approximate 0.382, 0.618, 0.786, 1.618, 2.618 — harmonic proportions. Sexagesimal base aligns with 360° circle and 60-minute hour, linking to geometric symmetry. DEPTH: 8 — Profound for ancient mathematics, showing systematic generation of integer triples and implicit trigonometric tables, but not directly revealing new universal constants or symmetries beyond known geometry. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com