Mathematical Constants Encoded in Great Pyramid Geometry and Dynasty Substructure Alignments — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: The Great Pyramid encodes multiple mathematical constants (π, φ, and possibly the golden ratio) through its base-to-height geometry, with recent arXiv work extending analysis to orientation patterns of 4th/5th Dynasty pyramid substructures. | MATH: For the Great Pyramid (base half-side = 220 cubits, height = 280 cubits): slope ratio = 280/220 = 14/11 ≈ 1.2727; this yields π ≈ 4 × (14/11) = 5.0909/4? No — precise relation: perimeter/base = 4 × (2×220)/280 = 1760/280 = 6.2857 ≈ 2π (error ~0.05%). Also, apothem/height = √(220² + 280²)/280 = √(48400+78400)/280 = √126800/280 ≈ 356.09/280 ≈ 1.2717, and φ ≈ 1.61803; note (14/11)² = 196/121 ≈ 1.6198 ≈ φ (error ~0.1%). Additionally, the pyramid's face angle arctan(14/11) ≈ 51.84°, and the "golden angle" complement 90° − 51.84° = 38.16°, whose sine ≈ 0.618 (φ−1). | CONNECTION: The 14/11 ratio is a rational approximation to √φ (√1.618 ≈ 1.2720), and 196/121 ≈ φ. This ties to base-60? No direct base-60 evidence in these sources, but the 1
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026mathematical,
title = {{Mathematical Constants Encoded in Great Pyramid Geometry and Dynasty Substructure Alignments — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23553742},
url = {https://zenodo.org/records/23553742},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Mathematical Constants Encoded in Great Pyramid Geometry and Dynasty Substructure Alignments — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/22
PB - Zenodo
DO - 10.5281/zenodo.23553742
UR - https://zenodo.org/records/23553742
AB - FINDING: The Great Pyramid encodes multiple mathematical constants (π, φ, and possibly the golden ratio) through its base-to-height geometry, with recent arXiv work extending analysis to orientation patterns of 4th/5th Dynasty pyramid substructures. | MATH: For the Great Pyramid (base half-side = 220 cubits, height = 280 cubits): slope ratio = 280/220 = 14/11 ≈ 1.2727; this yields π ≈ 4 × (14/11) = 5.0909/4? No — precise relation: perimeter/base = 4 × (2×220)/280 = 1760/280 = 6.2857 ≈ 2π (error ~0.05%). Also, apothem/height = √(220² + 280²)/280 = √(48400+78400)/280 = √126800/280 ≈ 356.09/280 ≈ 1.2717, and φ ≈ 1.61803; note (14/11)² = 196/121 ≈ 1.6198 ≈ φ (error ~0.1%). Additionally, the pyramid's face angle arctan(14/11) ≈ 51.84°, and the "golden angle" complement 90° − 51.84° = 38.16°, whose sine ≈ 0.618 (φ−1). | CONNECTION: The 14/11 ratio is a rational approximation to √φ (√1.618 ≈ 1.2720), and 196/121 ≈ φ. This ties to base-60? No direct base-60 evidence in these sources, but the 1 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -