Babylonian Base-60 and the Geometric Origin of 360 Degrees — E8 Intelligence Research

FINDING: The sexagesimal (base-60) system originated from Babylonian arithmetic and directly yields the 360° circle division; a geometric construction links the circle to multiples of 6, explaining 12 months, 24 hours, and 360 degrees without arbitrary choice. MATH: - Base-60: 60 = 2² × 3 × 5 → 24 divisors (1,2,3,4,5,6,10,12,15,20,30,60) — maximal divisibility for small composite base. - 360 = 6 × 60 = 2³ × 3² × 5 → 24 divisors (same count as 60, but larger range). - Key ratio: 360/60 = 6 (hexagonal symmetry emerges). - Circle division: 360° = 6 × 60°; each 60° sector corresponds to a regular hexagon inscribed in a circle (central angle = 360°/6 = 60°). - The arXiv paper (0707.0676) demonstrates a geometric construction where the circle's radius is divided into 6 equal parts, yielding natural angles of 60°, 30°, 15°, etc., aligning with sexagesimal fractions (1/60, 1/360). CONNECTION: - **Base-60 ↔ hexagonal symmetry**: The regular hexagon (6-fold rotational symmetry) h Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com