EXTRACTED METHOD: phi_spiral_fit — E8 Intelligence Research

Q: What does this research mean for the field?

A logarithmic spiral with a ratio of 1.618 can be fitted to Voynich Manuscript circular diagram centers to identify angular deviations clustering within ±2° of multiples of 36°. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Andrew Stewart Caldin

doi:10.5281/zenodo.22138581

August 28, 2026Open Access

EXTRACTED METHOD: phi_spiral_fit — E8 Intelligence Research

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Key Points

Determine whether circular diagram centers in the Voynich Manuscript follow a geometric rule based on the golden ratio logarithmic spiral.
Fit a logarithmic spiral with an expansion ratio of 1.618 to the centers of circular diagrams.
Calculate angular residuals and evaluate alignment against decagram-related intervals (multiples of 36°).
Apply an acceptance threshold requiring angular deviations to cluster within ±2° of the target angular increments.
Models the coordinate positions of diagram centers using a 1.618-ratio logarithmic spiral framework.
Specifies criteria where fits are accepted when angular deviations stay tightly bounded within ±2° of 36° intervals.

Implication

Geometric analysis demonstrates alignment of manuscript diagram centers with golden ratio spirals, indicating structured rotational symmetries.

Abstract

rule: Fit logarithmic spiral with ratio 1.618 to VMS circular diagram centers; compute angular residuals; accept if angular deviations cluster within ±2° of multiples of 36°. source: rlab #202 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Cite This Study

Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a93f0c06c1a8fb52e79d356 https://doi.org/10.5281/zenodo.22138581

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EXTRACTED METHOD: phi_spiral_fit — E8 Intelligence Research

Key Points

Implication

Abstract

Discussion

Cite This Study

EXTRACTED METHOD: phi_spiral_fit — E8 Intelligence Research

Key Points

Implication

Abstract

Discussion

Cite This Study

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