Windmill Problem and Missing 2025/26 Olympiad Content — E8 Intelligence Research

FINDING: The search results are meta-resources (videos, proceedings) about IMO problems, not the problems themselves. The only concrete mathematical content is the 2011 IMO Q2 "windmill" problem and a 2010 physics olympiad proceedings volume. No 2025/2026 problem statements or solutions are present in the extracted text. MATH: - 2011 IMO Q2 (windmill): Given \(n \geq 3\) points in general position, a "windmill" process rotates a line through a pivot point, switching pivot to the next point hit. Prove that for some pivot, the line returns to its initial position after at most \(n-1\) switches. Key invariant: the number of points on each side of the line changes by exactly 1 per switch (parity argument). No explicit constants or equations beyond combinatorial counting. - 2010 Physics Olympiad proceedings (arXiv:1110.4864): Contains problems/solutions in mathematical physics, but no specific equations extracted from the abstract. CONNECTION: - The windmill problem's core is a **cyclic Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com