{
  "abstract": "FINDING: Platonic solids are realized in molecular chemistry via finite Coxeter groups (A3, B3, H3), with non-crystallographic H3 (icosahedral) appearing in actual molecules, bridging discrete geometry and chemical structure. | MATH: Coxeter groups: A3 (tetrahedron, order 24), B3 (octahedron/cube, order 48), H3 (icosahedron/dodecahedron, order 120). Euler characteristic: V−E+F=2. Duality: tetrahedron self-dual; cube↔octahedron; dodecahedron↔icosahedron. Non-crystallographic constraint: H3 lacks invariant lattice under reflection (no 5-fold translational symmetry). | CONNECTION: H3 contains golden ratio φ=1.618 and its inverse 0.618 in edge ratios of icosahedron/dodecahedron; dihedral angles yield 0.786 (cos⁻¹(1/√5) related) and 2.618=φ² appears in icosahedral vertex coordinates. Base-60 not directly implicated, but 5-fold symmetry (pentagon) ties to Babylonian sexagesimal fractions (1/5=0.2, 1/3=0.333 in base-60). | DEPTH: 7 — solid mathematical grounding (Coxeter classification) but f\n\nAuthor: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com",
  "abstract_shown": true,
  "affiliations": [
    "Independent Researcher, United Kingdom"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/73w4y46xdk4jt.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23490833",
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  "id": "73w4y46xdk4jt",
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  "landing_url": "https://zenodo.org/records/23490833",
  "language": "eng",
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  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/73w4y46xdk4jt.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:24Z",
      "native_id": "23490833",
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  "subjects": [],
  "title": "Molecular Platonic Solids Realized via Finite Coxeter Groups Including Non-Crystallographic Icosahedral H3 — E8 Intelligence Research",
  "title_text": "Molecular Platonic Solids Realized via Finite Coxeter Groups Including Non-Crystallographic Icosahedral H3 — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-03T12:21:24Z",
  "url": "https://research.draconitic.com/paper/73w4y46xdk4jt",
  "venue": "Zenodo",
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