Kepler Triangle and Plimpton 322: No Direct Link to 0.786 Found — E8 Intelligence Research
- 1Independent Researcher, United Kingdom
Abstract
FINDING: The search results are largely video titles and abstracts, not substantive mathematical analyses. The core mathematical content is implicit: the Kepler triangle (sides 1 : √φ : φ) and the Plimpton 322 tablet (Babylonian sexagesimal Pythagorean triples). No direct evidence links √φ (1.272) to 0.786 in the provided text. | MATH: Kepler triangle: sides 1 : √ϕ : ϕ, where ϕ = (1+√5)/2 ≈ 1.618. Thus √ϕ ≈ 1.272. Note: 1/√ϕ ≈ 0.786. Plimpton 322: sexagesimal (base-60) triples (a,b,c) with a2+b2=c2, generated by reciprocal pairs p, q (with p>q, pq=1 in base-60), giving a = p2 − q2, b = 2pq, c = p2 + q2 (or variants). | CONNECTION: The Kepler triangle's ratio √ϕ ≈ 1.272 is the tangent of the Great Pyramid's face angle (~51.83°). The reciprocal 1/√ϕ ≈ 0.786 is the cosine of that angle. This is a direct geometric harmony link: ϕ
Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Related
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BibTeX
@misc{caldin2026kepler,
title = {{Kepler Triangle and Plimpton 322: No Direct Link to 0.786 Found — E8 Intelligence Research}},
author = {Andrew Stewart Caldin},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23635208},
url = {https://zenodo.org/records/23635208},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Kepler Triangle and Plimpton 322: No Direct Link to 0.786 Found — E8 Intelligence Research
AU - Andrew Stewart Caldin
PY - 2026
DA - 2026/10/25
PB - Zenodo
DO - 10.5281/zenodo.23635208
UR - https://zenodo.org/records/23635208
AB - FINDING: The search results are largely video titles and abstracts, not substantive mathematical analyses. The core mathematical content is implicit: the Kepler triangle (sides 1 : √φ : φ) and the Plimpton 322 tablet (Babylonian sexagesimal Pythagorean triples). No direct evidence links √φ (1.272) to 0.786 in the provided text. | MATH: Kepler triangle: sides 1 : √ϕ : ϕ, where ϕ = (1+√5)/2 ≈ 1.618. Thus √ϕ ≈ 1.272. Note: 1/√ϕ ≈ 0.786. Plimpton 322: sexagesimal (base-60) triples (a,b,c) with a^2+b^2=c^2, generated by reciprocal pairs p, q (with p>q, pq=1 in base-60), giving a = p^2 − q^2, b = 2pq, c = p^2 + q^2 (or variants). | CONNECTION: The Kepler triangle's ratio √ϕ ≈ 1.272 is the tangent of the Great Pyramid's face angle (~51.83°). The reciprocal 1/√ϕ ≈ 0.786 is the cosine of that angle. This is a direct geometric harmony link: ϕ Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
ER -