IMO 2025 Problems: Combinatorial Geometry, Functional Equations, and Laser Method — E8 Intelligence Research

FINDING: IMO 2025 Problem 1 is a combinatorial geometry problem (German: "Sonnige Leitungen" = sunny lines/lines of sight) involving visibility or line arrangements; Problem 3 is the "Bonza Function" (likely a functional equation); Problem 2 is geometry; Problem 6 involves a "Laser Method" for guessing answers. | MATH: No explicit equations or constants are extractable from titles alone. The recurring theme is *combinatorial geometry* (Problem 1) and *functional equations* (Problem 3). The phrase "Sonnige Leitungen" suggests a problem about lines that are "sunlit" — likely a visibility problem in a finite point set or arrangement of lines, possibly involving convex hulls or blocking points. | CONNECTION: The term "Sonnige Leitungen" (sunny lines) evokes *line arrangements* and *oriented matroids*, which are discrete analogues of root systems (A_n, D_n, etc.). Visibility problems often reduce to *Erdős–Szekeres-type* configurations, which connect to the golden ratio via Ramsey-type boun Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com