{
  "abstract": "FINDING: The icosahedron's dihedral angle and its construction from 3 golden rectangles are directly tied to the FCC lattice's tetrahedral/octahedral interstices, revealing a shared root in the A₄ root system and the golden ratio. | MATH: Icosahedron dihedral angle = arccos(−√5/3) ≈ 138.19°; golden rectangle aspect = φ = (1+√5)/2 ≈ 1.618; FCC coordination number = 12; tetrahedral void radius ratio = 0.225, octahedral void = 0.414 (≈ √2 − 1); FCC lattice vectors: a/2[110], a/2[101], a/2[011]. | CONNECTION: The 12 vertices of the icosahedron correspond exactly to the 12 nearest-neighbor positions in an FCC lattice (each at distance a/√2). The 3 mutually perpendicular golden rectangles (each with sides 1 and φ) generate the icosahedron's 12 vertices — these same 3 orthogonal planes define the FCC unit cell's face centers. The dihedral angle 138.19° satisfies cos θ = −1/√5, linking to the golden ratio via √5. The tetrahedral interstice in FCC has 4 nearest neighbors forming a regular tetra\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/8e45y0r7jm02y.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23409585",
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  "id": "8e45y0r7jm02y",
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  "language": "eng",
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  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8e45y0r7jm02y.ris",
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    {
      "first_seen": "2026-10-30T12:18:28Z",
      "native_id": "23409585",
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  "title": "Golden Ratio Geometry Links Icosahedron and FCC Lattice Interstices — E8 Intelligence Research",
  "title_text": "Golden Ratio Geometry Links Icosahedron and FCC Lattice Interstices — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:28Z",
  "url": "https://research.draconitic.com/paper/8e45y0r7jm02y",
  "venue": "Zenodo",
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