Pedagogical review demonstrates problem-solving techniques for Putnam and IMO competition problems, highlighting parity invariants and combinatorial geometry.
FINDING: Putnam problem with elegant solution; IMO windmill problem; general problem-solving techniques from 3Blue1Brown live lecture. | MATH: No specific equations, constants, or ratios extracted from provided search results. The Putnam problem involves combinatorial geometry (likely a polynomial or sequence), the IMO windmill problem involves projective geometry and parity invariants. | CONNECTION: No explicit geometric harmony ratios (0.382, 0.618, etc.) or base-60, crystallographic symmetries found in these results. The windmill problem involves rotational symmetry of lines about points, but no specific harmonic constants. | DEPTH: 2 — The findings are pedagogical examples of contest problem-solving, not new mathematical discoveries or deep structural insights. They demonstrate clever reasoning but do not advance fundamental understanding of the universe's mathematical structure. 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.