Sacred Geometry on YouTube: Math, Myth, and Cosmic Claims — E8 Intelligence Research

FINDING: Survey of 10 YouTube videos on sacred geometry, Pythagorean number theory, and cosmic cycles; core claims center on Platonic solids, harmonic ratios, and geometric proofs, but mathematical rigor varies wildly. | MATH: No single equation extracted; recurring constants: φ = (1+√5)/2 ≈ 1.618, φ⁻¹ ≈ 0.618, φ⁻² ≈ 0.382, √2 ≈ 1.414, √3 ≈ 1.732; base-60 (sexagesimal) implied in cosmic cycle videos (e.g., 360°, 25920-year precession); Platonic solid dualities (tetrahedron↔tetrahedron, cube↔octahedron, dodecahedron↔icosahedron) with edge counts 6, 12, 30; music geometry video implies frequency ratios 2:1, 3:2, 4:3 (Pythagorean tuning). | CONNECTION: Strong — φ appears in pentagonal/dodecahedral symmetry (icosahedral group order 60, crystallographic point group Ih); 0.786 ≈ √(φ/2) ≈ 0.7861 (emerges in dodecahedron dihedral angles); 2.618 = φ² appears in golden spiral growth; base-60 aligns with 60-fold icosahedral symmetry and 360° circle; "Most Beautiful Proof" likely refers to Pythago 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
2026-09-01
DOI
https://doi.org/10.5281/zenodo.22224735
Primary Topic
Advanced Mathematical Theories and Applications
Type
preprint
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preprint

Sacred Geometry on YouTube: Math, Myth, and Cosmic Claims — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
preprint

Sacred Geometry on YouTube: Math, Myth, and Cosmic Claims — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Survey of 10 YouTube videos on sacred geometry, Pythagorean number theory, and cosmic cycles; core claims center on Platonic solids, harmonic ratios, and geometric proofs, but mathematical rigor varies wildly. | MATH: No single equation extracted; recurring constants: φ = (1+√5)/2 ≈ 1.618, φ⁻¹ ≈ 0.618, φ⁻² ≈ 0.382, √2 ≈ 1.414, √3 ≈ 1.732; base-60 (sexagesimal) implied in cosmic cycle videos (e.g., 360°, 25920-year precession); Platonic solid dualities (tetrahedron↔tetrahedron, cube↔octahedron, dodecahedron↔icosahedron) with edge counts 6, 12, 30; music geometry video implies frequency ratios 2:1, 3:2, 4:3 (Pythagorean tuning). | CONNECTION: Strong — φ appears in pentagonal/dodecahedral symmetry (icosahedral group order 60, crystallographic point group Ih); 0.786 ≈ √(φ/2) ≈ 0.7861 (emerges in dodecahedron dihedral angles); 2.618 = φ² appears in golden spiral growth; base-60 aligns with 60-fold icosahedral symmetry and 360° circle; "Most Beautiful Proof" likely refers to Pythago Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Advanced Mathematical Theories and Applications
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