IMO 2025 Problems: Sunny Lines, Bonza Function, Laser Method — E8 Intelligence Research

FINDING: IMO 2025 Problem 1 ("Sunny Lines") is a combinatorial geometry problem; Problem 3 involves a "Bonza function"; Problem 6 uses a "Laser Method" for guessing. No full solutions extracted from titles alone. | MATH: No explicit equations/constants derivable from metadata; Problem 1 likely involves configurations of lines partitioning points (sunny = each point sees at least one line unobstructed), typical of extremal combinatorics (e.g., Erdős–Szekeres-type bounds). | CONNECTION: None directly evidenced. However, "sunny lines" often connect to visibility graphs, which in 2D relate to planar lattices and root systems (A₂, hexagonal symmetry) — but this is speculative from titles. | DEPTH: 3 — the titles indicate competition problems but no mathematical content is extractable; depth is low due to lack of equations or constants. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com