Egyptian Mathematics: Real Approximations vs Pyramid Numerology — E8 Intelligence Research

FINDING: Great Pyramid geometry encodes π, φ, and the Rhind Papyrus documents Egyptian rational approximations (π ≈ 256/81, √2 via 1+1/3+1/15) — but the "constants" claims from YouTube sources are largely numerological, not archaeologically verified. MATH: - Rhind Papyrus (c. 1650 BCE, copy of 1850 BCE text): π approximated as (16/9)² = 256/81 ≈ 3.1605 (error 0.6% vs π = 3.14159) - Moscow Papyrus: truncated pyramid volume V = (h/3)(a² + ab + b²) — correct formula - Great Pyramid base: 230.33 m; height (original): 146.6 m - Perimeter/base-height ratio: 4·230.33 / 146.6 ≈ 6.285 ≈ 2π (error 0.05%) - Slant height / half-base: 186.4 / 115.17 ≈ 1.618 (φ, error ~0.1%) - Base/height: 230.33/146.6 ≈ 1.571 ≈ π/2 - Seked (Egyptian slope unit): 5.5 palms run per 1 cubit rise → slope angle 51°50′ — matches measured - King's Chamber dimensions: 10 × 20 cubits (2:1 ratio), height 11.18 cubits → diagonal ≈ √5 × 10 (φ-related) - Cubit: 0.5236 m ≈ π/6 meters (numerological coincidence, not docume 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
2026-11-03
DOI
https://doi.org/10.5281/zenodo.23910042
Primary Topic
Ancient Egypt and Archaeology
Type
preprint
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preprint

Egyptian Mathematics: Real Approximations vs Pyramid Numerology — E8 Intelligence Research

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

Egyptian Mathematics: Real Approximations vs Pyramid Numerology — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: Great Pyramid geometry encodes π, φ, and the Rhind Papyrus documents Egyptian rational approximations (π ≈ 256/81, √2 via 1+1/3+1/15) — but the "constants" claims from YouTube sources are largely numerological, not archaeologically verified. MATH: - Rhind Papyrus (c. 1650 BCE, copy of 1850 BCE text): π approximated as (16/9)² = 256/81 ≈ 3.1605 (error 0.6% vs π = 3.14159) - Moscow Papyrus: truncated pyramid volume V = (h/3)(a² + ab + b²) — correct formula - Great Pyramid base: 230.33 m; height (original): 146.6 m - Perimeter/base-height ratio: 4·230.33 / 146.6 ≈ 6.285 ≈ 2π (error 0.05%) - Slant height / half-base: 186.4 / 115.17 ≈ 1.618 (φ, error ~0.1%) - Base/height: 230.33/146.6 ≈ 1.571 ≈ π/2 - Seked (Egyptian slope unit): 5.5 palms run per 1 cubit rise → slope angle 51°50′ — matches measured - King's Chamber dimensions: 10 × 20 cubits (2:1 ratio), height 11.18 cubits → diagonal ≈ √5 × 10 (φ-related) - Cubit: 0.5236 m ≈ π/6 meters (numerological coincidence, not docume 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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