Sacred Geometry as Arithmetic: Pythagorean Proofs in Ancient Texts — E8 Intelligence Research

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Sacred geometry is not merely mystical ornament, but the visible manifestation of deeper arithmetic principles, specifically Pythagorean-Platonic number theory, harmonic ratios, and geometric proof methods. Novelty: ClaimNovelty.SYNTHESIS. Consensus alignment: ConsensusAlignment.NEUTRAL.

Andrew Stewart Caldin

doi:10.5281/zenodo.22090486

August 25, 2026Open Access

Sacred Geometry as Arithmetic: Pythagorean Proofs in Ancient Texts — E8 Intelligence Research

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Key Points

To evaluate whether ancient sacred geometry represents rigorous arithmetic, harmonic ratios, and early trigonometric proofs rather than purely mystical symbolism.
Analyzed historical mathematical corpora and ancient artifacts, including sexagesimal calculations in Plimpton 322.
Evaluated classical geometric configurations against number theory, the golden ratio, and Platonic solid topology via Euler's polyhedral formula.
Demonstrated that ancient sexagesimal artifacts like Plimpton 322 encode exact Pythagorean triples and secant-squared trigonometric ratios.
Identified geometric derivations of the golden ratio (phi ≈ 1.618) and its square root (approx 1.272) in architectural proportions and slope calculations.
Confirmed topological dualities and symmetry pairings across the five Platonic solids consistent with Euler's formula (V - E + F = 2).

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Implication

Mathematical analysis reveals geometric patterns in ancient texts represent rigorous arithmetic and trigonometric proofs, indicating that sacred geometry originated from foundational number theory.

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Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a8fea0d10c91c1e92622074 https://doi.org/10.5281/zenodo.22090486

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Sacred Geometry as Arithmetic: Pythagorean Proofs in Ancient Texts — E8 Intelligence Research

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Cite This Study

Sacred Geometry as Arithmetic: Pythagorean Proofs in Ancient Texts — E8 Intelligence Research

Key Points

No abstract yet

Implication

Discussion

Cite This Study

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