No 2025/2026 IMO Problems Found; Only 2011 Windmill Commentary — E8 Intelligence Research

FINDING: Search returned no 2025/2026 IMO problem content — only retrospective commentary on 2011 P2 ("windmill") and general olympiad-training material. | MATH: The 2011 IMO P2 windmill problem is a combinatorial-geometry result: given a finite point set S and a line ℓ that rotates about a point P ∈ S, the line sweeps each point of S infinitely often; the invariant is that the number of points on each side of ℓ is preserved modulo the rotation, forcing a 180°-periodic counting argument. No closed-form constant is attached to the problem itself. | CONNECTION: The windmill's rotational symmetry is a 2-fold (C₂) symmetry — the line returns to its initial orientation after 180°, and the side-count invariant is a parity/mod-2 structure. This is the simplest crystallographic rotation group (order 2), not the golden-ratio family (0.618, 1.618) nor base-60. No 0.382/0.618/0.786/1.618/2.618 ratio appears in the sourced material. | DEPTH: 2 — the findings are pedagogical/YouTube-level, contain 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
2026-11-02
DOI
https://doi.org/10.5281/zenodo.23877344
Primary Topic
Mathematics and Applications
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

No 2025/2026 IMO Problems Found; Only 2011 Windmill Commentary — E8 Intelligence Research

Andrew Stewart Caldin
10 links
Zenodo (CERN European Organization for Nuclear Research)
Mathematics and Applications
preprint

No 2025/2026 IMO Problems Found; Only 2011 Windmill Commentary — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Search returned no 2025/2026 IMO problem content — only retrospective commentary on 2011 P2 ("windmill") and general olympiad-training material. | MATH: The 2011 IMO P2 windmill problem is a combinatorial-geometry result: given a finite point set S and a line ℓ that rotates about a point P ∈ S, the line sweeps each point of S infinitely often; the invariant is that the number of points on each side of ℓ is preserved modulo the rotation, forcing a 180°-periodic counting argument. No closed-form constant is attached to the problem itself. | CONNECTION: The windmill's rotational symmetry is a 2-fold (C₂) symmetry — the line returns to its initial orientation after 180°, and the side-count invariant is a parity/mod-2 structure. This is the simplest crystallographic rotation group (order 2), not the golden-ratio family (0.618, 1.618) nor base-60. No 0.382/0.618/0.786/1.618/2.618 ratio appears in the sourced material. | DEPTH: 2 — the findings are pedagogical/YouTube-level, contain Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Mathematics and Applications
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon
No 2025/2026 IMO Problems Found; Only 2011 Windmill Commentary — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS