Plimpton 322: Old Babylonian Trigonometry via Sexagesimal Ratios, Not Golden Ratio — E8 Intelligence Research

FINDING: Plimpton 322 is an Old Babylonian trigonometric table based on exact sexagesimal ratios of sides in right triangles, not modern angles or the golden ratio. | MATH: The tablet lists 15 rows of Pythagorean triples (a, b, c) with a^2 + b^2 = c^2, using base-60 (sexagesimal) fractions. The ratios b^2 / (c^2 - b^2) or (c^2 - a^2) / a^2 form a decreasing sequence of regular sexagesimal numbers (e.g., 1;59,15, 1;56,56,58,14,50,6,15, etc.). No explicit golden ratio (φ ≈ 1.618) or its reciprocal (0.618) appears in the tablet's numbers. The triples correspond to sec^2(θ) or tan^2(θ) values for angles from about 45° down to 30°, using exact reciprocals of regular numbers in base-60. | CONNECTION: No direct geometric harmony with φ, 0.382, 0.618, 0.786, 2.618, or crystallographic symmetries. The base-60 system is used, but the ratios are not golden-ratio-based. The tablet's structure aligns with a trigonometric table of squared secants (or tangents) for angles in a 15° range, not harmonic Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com