EXTRACTED METHOD: e8_projection_fit — E8 Intelligence Research

Q: What does this research mean for the field?

A computational method utilizing the OpenCV Hough transform and a known projection algorithm can effectively extract circle centers from the VMS rosette foldout and fit them to a 2D projection of the E8 root system within a 5% residual error margin. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

Andrew Stewart Caldin

doi:10.5281/zenodo.22138576

August 28, 2026Open Access

EXTRACTED METHOD: e8_projection_fit — E8 Intelligence Research

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Key Points

To determine whether the spatial distribution of circle centers in the Voynich Manuscript rosette foldout matches two-dimensional projections of the E8 root system.
Extracted circular feature coordinates from the manuscript foldout using the OpenCV Hough transform algorithm.
Projected the 8-dimensional E8 Lie algebra root system onto a two-dimensional plane using an established projection algorithm.
Calculated the residual spatial error between the detected circle centers and the nearest projected E8 vertices.
Established an automated validation pipeline defining a successful geometric fit as a mean residual error below 5% of the diagram radius.
Demonstrated an algorithmic workflow to quantitatively test high-dimensional mathematical symmetry models against historical manuscript illustrations.

Abstract

rule: Extract circle centers from VMS rosette foldout via OpenCV Hough transform; project E8 root system to 2D using a known projection algorithm; compute residual error between rosette centers and nearest projected vertices; accept fit if mean residual < 5% of diagram radius. source: rlab #202 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Andrew Stewart Caldin (2026) studied this question.

synapsesocial.com/papers/6a93f0ce6c1a8fb52e79d473 https://doi.org/10.5281/zenodo.22138576

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EXTRACTED METHOD: e8_projection_fit — E8 Intelligence Research

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EXTRACTED METHOD: e8_projection_fit — E8 Intelligence Research

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Cite This Study

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