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DazukaD/The-Golden-Ratio-in-the-Shadow-of-the-Icosahedron

The Golden Ratio in the Shadow of the Icosahedron This dataset contains structured metadata in JSON format describing a geometric discovery:the relationship between the second diagonal of a regular decagon and the radius of its circumscribed circle, which equals the golden ratio (φ). Contents /data/mainentity.json Main structured entity describing: The central claim Mathematical expressions Applications Educational value Historical context… See the full description on the dataset page: https://huggingface.co/datasets/DazukaD/The-Golden-Ratio-in-the-Shadow-of-the-Icosahedron.

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The Golden Ratio in the Shadow of the Icosahedron

This dataset contains structured metadata in JSON format describing a geometric discovery: the relationship between the second diagonal of a regular decagon and the radius of its circumscribed circle, which equals the golden ratio (φ).

`/data/mainentity.json`

Main structured entity describing:

—The central claim
—Mathematical expressions
—Applications
—Educational value
—Historical context
—References to Euclid’s Elements

`/data/formalDemonstration.json`

Metadata describing the formal geometric demonstration, including:

—Extended Proposition II.11.1
—Extended Proposition IV.11.1
—Step‑by‑step geometric constructions
—Mathematical expressions in LaTeX

Purpose

This dataset is intended for:

—Mathematical research
—Educational use
—Semantic web experiments
—Geometry‑based computational models
—Knowledge graph construction

License

MIT License

Citation

Peláez Guirado, D. David. The Golden Ratio in the Shadow of the Icosahedron (2026).