Mathematical analysis demonstrates that Plimpton 322 functions as an exact sexagesimal trigonometric table, indicating Babylonian trigonometry predated Greek methods by over a millennium.
FINDING: Babylonian base-60 place-value system with Plimpton 322 reveals proto-trigonometric table of Pythagorean triples, not simple surveying. | MATH: Base-60 (sexagesimal) positional notation; Plimpton 322 lists 15 pairs (a, c) with a² + c² = b² (b not recorded), consistent with generating formula: a = 2pq, b = p² - q², c = p² + q² for regular integers p, q. Ratios c/a approximate sec²(θ) for angles decreasing by ~1°. | CONNECTION: Base-60 directly yields 1/60 = 0.01666..., 1/30 = 0.03333..., 1/20 = 0.05, 1/15 = 0.06666..., 1/12 = 0.08333..., 1/10 = 0.1 — all terminating sexagesimal fractions. No explicit golden ratio or 0.618/1.618 found in Plimpton 322, but base-60 enables exact representation of many rational ratios, including those near 0.618 (e.g., 37/60 = 0.61666...). | DEPTH: 8 — Plimpton 322 is the oldest known trigonometric table (c. 1800 BCE), predating Greek trigonometry by 1500 years. It uses exact rational arithmetic, not approximations, and implies knowledge of generat Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.