Geometric Link Between Circle Division by 6 and Sexagesimal System — E8 Intelligence Research

FINDING: A geometrical link between the circle and the sexagesimal system is explicitly identified, showing that dividing a circle by multiples of 6 yields natural rational parametrizations of the unit circle, directly connecting base-60 to stereographic projection principles. MATH: - Unit circle parametrization via rational functions: \( x = \frac{1-t^2}{1+t^2}, \quad y = \frac{2t}{1+t^2} \) where \( t \) is a rational parameter. - Sexagesimal (base-60) emerges from dividing the circle into 360°, then 60 subdivisions per degree, and 60 minutes per hour — all multiples of 6. - Key constants: 360 = 6×60, 60 = 6×10, 12 = 6×2. - Stereographic projection maps a point on the sphere to a plane via \( (X,Y) = \left( \frac{x}{1-z}, \frac{y}{1-z} \right) \), preserving circles and angles. CONNECTION: - The rational parametrization of the circle is equivalent to stereographic projection of the unit circle onto a line, with parameter \( t = \tan(\theta/2) \). - Base-60 directly enco Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com