Survey finds no novel mathematical solutions in curated open problems, indicating a lack of progress in the field.
FINDING: Survey of unsolved competition-level problems reveals no new mathematical discovery; the domain is a curated list of known open problems (e.g., Putnam, IMO Shortlist, Millennium Problems) with no novel equations or constants extracted from the provided sources. The YouTube and arXiv references are meta-discussions or proceedings, not original solutions. MATH: No equations, constants, or ratios are derivable from the provided text. The only mathematical content is the mention of "idempotent and tropical mathematics" (arXiv:0710.0377v1), which involves the tropical semiring (ℝ ∪ {∞}, ⊕, ⊗) where a ⊕ b = min(a,b) and a ⊗ b = a + b. No specific constants or ratios appear. CONNECTION: No geometric harmony ratios (0.382, 0.618, 0.786, 1.618, 2.618), base-60, or crystallographic symmetries are present in the findings. Tropical geometry does connect to toric varieties and lattice polytopes, but the source provides no specific symmetry or ratio data. DEPTH: 1 — The findings are a li 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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