{
  "abstract": "FINDING: The rhombic triacontahedron and its stellations encode φ² and φ³ relationships, with 30 face centers mapping to a 6-cube projection, linking golden-ratio polyhedra to higher-dimensional lattice collapse. | MATH: φ = (1+√5)/2 ≈ 1.6180339887; φ² = φ+1 ≈ 2.6180339887; φ³ = 2φ+1 ≈ 4.2360679. Rhombic triacontahedron: 30 rhombic faces, 32 vertices (12 degree-5, 20 degree-3), 60 edges. Diagonal ratio of each golden rhombus face = φ. Bilinski dodecahedron (12 golden rhombi) is a space-filling variant. 6-cube (hexeract) has 64 vertices; projection to 3D can yield 32 visible vertices — matching the triacontahedron's 32 vertices, with 30 face centers corresponding to the 30 rhombi (each face center = a collapsed pair of 6-cube vertices under projection). | CONNECTION: Direct golden-ratio chain: φ, φ², φ³ appear as face-diagonal ratios and stellation hull radii. The 6-cube projection onto 3D produces a rhombic triacontahedron — this is the well-known Coxeter projection of the 6-dimensiona\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
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  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
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  "bibtex": "https://research.draconitic.com/paper/8zetkqrjgtx8s.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23409570",
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  "id": "8zetkqrjgtx8s",
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  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8zetkqrjgtx8s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:29Z",
      "native_id": "23409570",
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  "subjects": [],
  "title": "Golden-Ratio Polyhedra as Projections of Higher-Dimensional Lattice Collapse — E8 Intelligence Research",
  "title_text": "Golden-Ratio Polyhedra as Projections of Higher-Dimensional Lattice Collapse — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:29Z",
  "url": "https://research.draconitic.com/paper/8zetkqrjgtx8s",
  "venue": "Zenodo",
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