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PreprintCC BY 4.0Zenodo

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

  1. 1Independent Researcher, United Kingdom

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

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BibTeX
@misc{caldin2026missing,
  title = {{Missing Derivation of Rhombic Triacontahedron Acceptance Volume in Quasicrystal Sources — E8 Intelligence Research}},
  author = {Andrew Stewart Caldin},
  howpublished = {Zenodo},
  year = {2026},
  month = oct,
  doi = {10.5281/zenodo.23446882},
  url = {https://zenodo.org/records/23446882},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Missing Derivation of Rhombic Triacontahedron Acceptance Volume in Quasicrystal Sources — E8 Intelligence Research
AU  - Andrew Stewart Caldin
PY  - 2026
DA  - 2026/10/18
PB  - Zenodo
DO  - 10.5281/zenodo.23446882
UR  - https://zenodo.org/records/23446882
AB  - 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
ER  -