IMO 2025 Problems: Sunny Lines, Geometry, and Combinatorial "Final Boss — E8 Intelligence Research

FINDING: IMO 2025 Problem 1 involves combinatorial geometry with "sunny lines" — likely a configuration of points and lines with a parity or covering condition. Problem 2 is geometry, possibly involving a weak revenge of geometry. Problem 6 is combinatorics, described as "final boss." MATH: No explicit equations or constants extracted from video titles/descriptions. Problem 1 likely involves a finite set of points/lines with a combinatorial invariant (e.g., parity, modular condition). Problem 2 may involve cyclic quadrilaterals, angle chasing, or projective geometry. Problem 6 likely uses extremal combinatorics, double counting, or probabilistic method. CONNECTION: No direct geometric harmony ratios (0.382, 0.618, 1.618, etc.) or base-60, crystallographic symmetries, or root systems evident from titles/descriptions. Problem 2 may involve harmonic divisions or cross-ratios if projective geometry is used, but not confirmed. DEPTH: 2 — These are competition problems, not fundamental di Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com