FINDING: Sumerian base-60 (sexagesimal) system enabled advanced trigonometry and precise arithmetic, including square root algorithms, predating modern methods. MATH: Base-60 place-value system; Plimpton 322 tablet contains Pythagorean triples (e. g. , 3-4-5, 5-12-13) and ratios equivalent to sec² (θ) = 1 + tan² (θ) ; square root iteration: x₍+₁ = (xₙ + a/xₙ) /2 (Heron's method). CONNECTION: Base-60 yields fractions with divisors 2, 3, 5 — aligns with 360° circle, 60° angles in equilateral triangles, and golden ratio approximations (e. g. , 1. 618 ≈ 97/60). DEPTH: 8 — Foundational to geometric harmony, astronomical cycles, and modern computational algorithms. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence. com
Andrew Stewart Caldin (Tue,) studied this question.