Missing Derivation of Rhombic Triacontahedron Acceptance Volume in Quasicrystal Sources — E8 Intelligence Research

FINDING: The search results are dominated by generic crystallography lectures (cubic indexing, phase quantification) and two quasicrystal overview videos, with **no direct derivation** of the rhombic triacontahedron acceptance volume, φ³ scaling, or quasicrystal diffraction pattern from these sources. The sole mathematically substantive hit is an unrelated arXiv paper on a surface code on a rhombic dodecahedron. | MATH: No equations, constants, or ratios for the target topic appear in the provided transcripts/abstracts. The cubic diffraction lectures reference standard Bragg indexing (hkl, d-spacing) but nothing on quasicrystals. The quasicrystal videos (Units 5.6, 5.7) are pedagogical, not derivational. The arXiv paper gives a [[14,3,3]] non-CSS surface code on a rhombic dodecahedron — a combinatorial/topological object, not the triacontahedron. | CONNECTION: **None found** to φ (0.618, 1.618, 2.618), 0.382, 0.786, base-60, or icosahedral symmetry. The rhombic dodecahedron (cubic clos Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-18
DOI
https://doi.org/10.5281/zenodo.23446881
Primary Topic
Quasicrystal Structures and Properties
Type
preprint
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preprint

Missing Derivation of Rhombic Triacontahedron Acceptance Volume in Quasicrystal Sources — E8 Intelligence Research

Andrew Stewart Caldin
Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
preprint

Missing Derivation of Rhombic Triacontahedron Acceptance Volume in Quasicrystal Sources — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

FINDING: The search results are dominated by generic crystallography lectures (cubic indexing, phase quantification) and two quasicrystal overview videos, with **no direct derivation** of the rhombic triacontahedron acceptance volume, φ³ scaling, or quasicrystal diffraction pattern from these sources. The sole mathematically substantive hit is an unrelated arXiv paper on a surface code on a rhombic dodecahedron. | MATH: No equations, constants, or ratios for the target topic appear in the provided transcripts/abstracts. The cubic diffraction lectures reference standard Bragg indexing (hkl, d-spacing) but nothing on quasicrystals. The quasicrystal videos (Units 5.6, 5.7) are pedagogical, not derivational. The arXiv paper gives a [[14,3,3]] non-CSS surface code on a rhombic dodecahedron — a combinatorial/topological object, not the triacontahedron. | CONNECTION: **None found** to φ (0.618, 1.618, 2.618), 0.382, 0.786, base-60, or icosahedral symmetry. The rhombic dodecahedron (cubic clos Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

Zenodo (CERN European Organization for Nuclear Research)
Quasicrystal Structures and Properties
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