Great Pyramid's Geometry: π, φ, and the Limits of Popular Claims — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: The Great Pyramid encodes multiple precise mathematical constants (π, φ, and possibly the golden angle) through its slope and dimensional ratios, though popular claims often overreach beyond measured data. | MATH: Key ratios: height-to-base-perimeter ratio ≈ 2π (if height = 280 cubits, base = 440 cubits, then 4×base/height = 4×440/280 = 6.2857 ≈ 2π); slope angle arctan(280/220) = 51.843°; φ appears via apothem/base-half ratio: √(280²+220²)/220 = √(78400+48400)/220 = √126800/220 ≈ 356.09/220 ≈ 1.6186 ≈ φ; also 280/220 = 14/11 = 1.2727 (√φ ≈ 1.2720). | CONNECTION: The 14/11 seked ratio yields both π (via 4/14/11 = 22/7 ≈ π) and φ (via √(14²+11²)/11 = √317/11 ≈ 1.6186) — a deliberate or emergent coincidence linking circular and golden geometry; base-60 not directly evidenced, but the cubit (≈0.5236 m = π/6) suggests sexagesimal-derived units. | DEPTH: 6 — The mathematical constants are real and measurable, but the "astounding" claims in popular sources are often numerological ove
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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BibTeX
@misc{caldin2026great,
title = {{Great Pyramid's Geometry: π, φ, and the Limits of Popular Claims — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23610254},
url = {https://zenodo.org/records/23610254},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Great Pyramid's Geometry: π, φ, and the Limits of Popular Claims — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/24
PB - Zenodo
DO - 10.5281/zenodo.23610254
UR - https://zenodo.org/records/23610254
AB - FINDING: The Great Pyramid encodes multiple precise mathematical constants (π, φ, and possibly the golden angle) through its slope and dimensional ratios, though popular claims often overreach beyond measured data. | MATH: Key ratios: height-to-base-perimeter ratio ≈ 2π (if height = 280 cubits, base = 440 cubits, then 4×base/height = 4×440/280 = 6.2857 ≈ 2π); slope angle arctan(280/220) = 51.843°; φ appears via apothem/base-half ratio: √(280²+220²)/220 = √(78400+48400)/220 = √126800/220 ≈ 356.09/220 ≈ 1.6186 ≈ φ; also 280/220 = 14/11 = 1.2727 (√φ ≈ 1.2720). | CONNECTION: The 14/11 seked ratio yields both π (via 4/14/11 = 22/7 ≈ π) and φ (via √(14²+11²)/11 = √317/11 ≈ 1.6186) — a deliberate or emergent coincidence linking circular and golden geometry; base-60 not directly evidenced, but the cubit (≈0.5236 m = π/6) suggests sexagesimal-derived units. | DEPTH: 6 — The mathematical constants are real and measurable, but the "astounding" claims in popular sources are often numerological ove Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -