FINDING: The search results are dominated by YouTube videos and one arXiv proceedings volume; no specific unsolved problem or novel mathematical discovery is extracted from the content itself. The only concrete mathematical artifact is the reference to IMO 1988 Problem 6 (the famous "a²+b² / (ab+1) is a perfect square" problem), and the arXiv volume on mathematical physics olympiad problems. | MATH: IMO 1988 P6: Let a,b be positive integers such that ab+1 divides a²+b². Then (a²+b²)/(ab+1) is a perfect square. Proof uses Vieta jumping: if (a,b) is a solution with minimal a+b, then the other root of x² - k·b·x + (b²-k)=0 is a' = k·b - a, yielding a smaller solution unless a'=0, forcing k=b². No new constants or ratios appear. | CONNECTION: The IMO 1988 P6 solution involves a quadratic form and integer lattice points on a hyperbola — this is a Diophantine geometry structure, but no explicit golden ratio, base-60, or crystallographic symmetry is present in the search results. The arXiv vo Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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Andrew Stewart Caldin (2026) studied this question.
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