Competition Problems vs. Genuine Discovery: Hilbert Geometry as the Sole Novel Result — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: The corpus is a mixed bag of competition geometry (windmill problem, "hardest easy" problem, mock USAMO, USAMO 2010 #4) plus one genuine research paper on Hilbert geometry asymptotics. The competition problems are pedagogical challenges, not new discoveries; the Hilbert geometry paper is the only substantive mathematical result. | MATH: No explicit equations or constants are given in the search snippets. The Hilbert geometry paper references: volume growth entropy equality between Hilbert geometry and Lobachevsky space; asymptotic ratio of volume of metric ball to area of metric sphere. No specific numeric constants (0.382, 0.618, etc.) appear. | CONNECTION: None directly stated. The windmill problem involves combinatorial geometry (rotating lines through points) — no golden ratio or crystallographic symmetry evident. The Hilbert geometry result connects to hyperbolic space (Lobachevsky), which has constant negative curvature — a geometric structure, but no explicit harmonic r
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Related
- Surveying Competition Problems: Erdős–Straus as Most Accessible Unsolved Conjecture — E8 Intelligence Research
- Unsolved Math Problems and Competition Math Video Compilation — E8 Intelligence Research
- Putnam Problems All Solved; Only Novelty Is Proposed Physics Competition — E8 Intelligence Research
- Survey of Open Problems and Tropical Mathematics, Not a New Discovery — E8 Intelligence Research
- Geometry vs Binary: Unsolved Mathematics — unsolved problems in computational geometry 2025 o — E8 Intelligence Research
BibTeX
@misc{caldin2026competition,
title = {{Competition Problems vs. Genuine Discovery: Hilbert Geometry as the Sole Novel Result — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23447035},
url = {https://zenodo.org/records/23447035},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Competition Problems vs. Genuine Discovery: Hilbert Geometry as the Sole Novel Result — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/18
PB - Zenodo
DO - 10.5281/zenodo.23447035
UR - https://zenodo.org/records/23447035
AB - FINDING: The corpus is a mixed bag of competition geometry (windmill problem, "hardest easy" problem, mock USAMO, USAMO 2010 #4) plus one genuine research paper on Hilbert geometry asymptotics. The competition problems are pedagogical challenges, not new discoveries; the Hilbert geometry paper is the only substantive mathematical result. | MATH: No explicit equations or constants are given in the search snippets. The Hilbert geometry paper references: volume growth entropy equality between Hilbert geometry and Lobachevsky space; asymptotic ratio of volume of metric ball to area of metric sphere. No specific numeric constants (0.382, 0.618, etc.) appear. | CONNECTION: None directly stated. The windmill problem involves combinatorial geometry (rotating lines through points) — no golden ratio or crystallographic symmetry evident. The Hilbert geometry result connects to hyperbolic space (Lobachevsky), which has constant negative curvature — a geometric structure, but no explicit harmonic r Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -