Great Pyramid Constants: Separating Measured Geometry from Numerological Overlay — E8 Intelligence Research

FINDING: Great Pyramid encodes π, φ, and the Rhind Papyrus documents Egyptian rational approximation methods — but the "constants" claims require separating measured geometry from numerological overlay. MATH: - **Rhind Papyrus (c. 1650 BCE)**: π approximated as 256/81 = 3.16049... (error 0.6% vs true π). Method: area of circle = (8/9 · d)². This is the earliest documented π approximation. - **Great Pyramid base-to-height ratio**: Measured base ≈ 230.33 m, height ≈ 146.6 m. Ratio (perimeter/height) = 4·230.33/146.6 ≈ 6.285 ≈ 2π. This yields π ≈ 3.1425 (error 0.04%). - **Slant height / half-base**: ≈ 1.618 (φ) within measurement tolerance (~0.1%). - **King's Chamber dimensions**: 20 × 10 cubits (2:1 ratio), height 11.18 cubits → diagonal relationships yield √5 and √2. - **Seked system**: Egyptian slope measure = 5.5 palms run per 1 cubit rise → cot(θ) = 5.5/7. This is the documented, reproducible method — not φ or π intentionally. CONNECTION: - φ = (1+√5)/2 = 1.6180339... appears in py 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
2026-11-05
DOI
https://doi.org/10.5281/zenodo.23971915
Primary Topic
Ancient Egypt and Archaeology
Type
preprint
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preprint

Great Pyramid Constants: Separating Measured Geometry from Numerological Overlay — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Ancient Egypt and Archaeology
preprint

Great Pyramid Constants: Separating Measured Geometry from Numerological Overlay — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Great Pyramid encodes π, φ, and the Rhind Papyrus documents Egyptian rational approximation methods — but the "constants" claims require separating measured geometry from numerological overlay. MATH: - **Rhind Papyrus (c. 1650 BCE)**: π approximated as 256/81 = 3.16049... (error 0.6% vs true π). Method: area of circle = (8/9 · d)². This is the earliest documented π approximation. - **Great Pyramid base-to-height ratio**: Measured base ≈ 230.33 m, height ≈ 146.6 m. Ratio (perimeter/height) = 4·230.33/146.6 ≈ 6.285 ≈ 2π. This yields π ≈ 3.1425 (error 0.04%). - **Slant height / half-base**: ≈ 1.618 (φ) within measurement tolerance (~0.1%). - **King's Chamber dimensions**: 20 × 10 cubits (2:1 ratio), height 11.18 cubits → diagonal relationships yield √5 and √2. - **Seked system**: Egyptian slope measure = 5.5 palms run per 1 cubit rise → cot(θ) = 5.5/7. This is the documented, reproducible method — not φ or π intentionally. CONNECTION: - φ = (1+√5)/2 = 1.6180339... appears in py Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Ancient Egypt and Archaeology
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Great Pyramid Constants: Separating Measured Geometry from Numerological Overlay — E8 Intelligence Research — Andrew Stewart Caldin · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS