No IMO 2025/2026 Math Found; Only IMO 1988 P6 Vieta Jumping — E8 Intelligence Research
Year: 2026
Type: preprint
Abstract: FINDING: No substantive mathematical content — search returned video titles, a robotics competition, and no actual IMO 2025/2026 problem statements or solutions. | MATH: Only identifiable constant: IMO 1988 P6 (the "legendary" problem) — statement: for positive integers a,b, if ab+1 divides a²+b², then (a²+b²)/(ab+1) is a perfect square. This is a Vieta-jumping / quadratic-residue problem, not a geometric-harmony problem. | CONNECTION: None supported. Vieta jumping exploits the discriminant structure of a quadratic in one variable — a lattice/root-system adjacency in disguise (integer points on a hyperbola), but no 0.618/1.618/base-60/crystallographic constant appears in the evidence. | DEPTH: 1 FINDING: The 2011 IMO P2 "windmill" problem is a combinatorial-geometry invariant problem (a line rotates about a point, sweeping points alternately across it). | MATH: Invariant: parity of point-count on each side of the rotating line is preserved under the reflection rule; the process is per Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Author: Caldin, Andrew Stewart
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7224810035