The Golden Disphenoid ANNA: A Three-Dimensional Constant from the Golden Ratio

Abstract: We introduce the golden disphenoid ANNA, a minimal tetrahedral structure defined by the golden ratio. A key vertical distance, called eta-phi, emerges with a closed-form expression and a clean algebraic minimal polynomial. We explore its geometry, intrinsic orthogonality, volume, and a discrete screw motion governed by this constant. Visualizations and analytical expressions are provided.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-10-01
DOI
https://doi.org/10.5281/zenodo.17259930
Primary Topic
Enzyme function and inhibition
Type
article
Field-Weighted Citation Impact
0.00
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article

The Golden Disphenoid ANNA: A Three-Dimensional Constant from the Golden Ratio

Zenodo (CERN European Organization for Nuclear Research)
Enzyme function and inhibition
article

The Golden Disphenoid ANNA: A Three-Dimensional Constant from the Golden Ratio

article en

Abstract

Abstract: We introduce the golden disphenoid ANNA, a minimal tetrahedral structure defined by the golden ratio. A key vertical distance, called eta-phi, emerges with a closed-form expression and a clean algebraic minimal polynomial. We explore its geometry, intrinsic orthogonality, volume, and a discrete screw motion governed by this constant. Visualizations and analytical expressions are provided.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 47%
Enzyme function and inhibition
DOIOpen Access PDFOpenAlex
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The Golden Disphenoid ANNA: A Three-Dimensional Constant from the Golden Ratio · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS