2025 IMO Problems: Combinatorial Geometry, Graph Theory, and Extremal Combinatorics — E8 Intelligence Research

FINDING: IMO 2025 Problem 1 is a combinatorial geometry problem involving "sunny lines" (likely a graph/arrangement of lines with visibility constraints); Problem 2 is a geometry problem; Shortlist N2 involves a "Koala's Maximum Leaves" problem (graph theory/extremal combinatorics). No explicit equations or constants are given in the titles/descriptions. | MATH: No explicit equations, constants, or ratios extractable from titles alone. The problems are likely discrete (combinatorics, graph theory, geometry) but the specific mathematical content is not disclosed in the search results. | CONNECTION: No direct connection to 0.382, 0.618, 0.786, 1.618, 2.618, base-60, or crystallographic symmetries is evident from the titles/descriptions. The "sunny lines" problem may involve line arrangements (projective geometry) but no harmonic ratios are stated. | DEPTH: 2 — The findings are merely video titles; no mathematical substance is revealed. The existence of IMO 2025 problems is known, but the Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-24
DOI
https://doi.org/10.5281/zenodo.22075802
Primary Topic
Intelligence, Security, War Strategy
Type
preprint
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2025 IMO Problems: Combinatorial Geometry, Graph Theory, and Extremal Combinatorics — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Intelligence, Security, War Strategy
preprint

2025 IMO Problems: Combinatorial Geometry, Graph Theory, and Extremal Combinatorics — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: IMO 2025 Problem 1 is a combinatorial geometry problem involving "sunny lines" (likely a graph/arrangement of lines with visibility constraints); Problem 2 is a geometry problem; Shortlist N2 involves a "Koala's Maximum Leaves" problem (graph theory/extremal combinatorics). No explicit equations or constants are given in the titles/descriptions. | MATH: No explicit equations, constants, or ratios extractable from titles alone. The problems are likely discrete (combinatorics, graph theory, geometry) but the specific mathematical content is not disclosed in the search results. | CONNECTION: No direct connection to 0.382, 0.618, 0.786, 1.618, 2.618, base-60, or crystallographic symmetries is evident from the titles/descriptions. The "sunny lines" problem may involve line arrangements (projective geometry) but no harmonic ratios are stated. | DEPTH: 2 — The findings are merely video titles; no mathematical substance is revealed. The existence of IMO 2025 problems is known, but the Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Intelligence, Security, War Strategy
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2025 IMO Problems: Combinatorial Geometry, Graph Theory, and Extremal Combinatorics — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS