{
  "abstract": "FINDING: Penrose tilings encode fivefold symmetry via inflation rules, with a direct icosahedral quasicrystal construction linking to the E8 lattice through Fibonacci spacing. | MATH: Golden ratio φ = (1+√5)/2 ≈ 1.618; inflation multiplier φ² = φ+1 ≈ 2.618; Fibonacci chain spacing (alternating L/S intervals with L/S = φ); Penrose tiling uses two prototiles (kite/dart or rhombi) with areas in ratio φ; E8 root lattice has 240 roots, Coxeter number 30, and projects to icosahedral quasicrystal via 10-plane icosagrid. | CONNECTION: Fivefold symmetry is crystallographically forbidden in periodic lattices but emerges quasiperiodically; the golden angle (2π/φ² ≈ 137.5°) governs phyllotaxis and appears in the inflation scaling; the icosagrid's 10 plane sets (5 orientations × 2) mirror the 5-fold axes of icosahedral symmetry; E8's projection to 3D yields icosahedral order with Fibonacci spacing — a direct lattice-to-quasicrystal bridge. | DEPTH: 8\n\n---\n\n**Detailed analysis:**\n\n1. **Key mathemati\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/7rpmtnfh3v0yn.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23553633",
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  "id": "7rpmtnfh3v0yn",
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  "landing_url": "https://zenodo.org/records/23553633",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
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  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7rpmtnfh3v0yn.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T12:21:20Z",
      "native_id": "23553633",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23553633"
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  "subjects": [],
  "title": "E8 Lattice and Fibonacci Spacing Unify Icosahedral Quasicrystals via Penrose Inflation — E8 Intelligence Research",
  "title_text": "E8 Lattice and Fibonacci Spacing Unify Icosahedral Quasicrystals via Penrose Inflation — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-05T12:21:20Z",
  "url": "https://research.draconitic.com/paper/7rpmtnfh3v0yn",
  "venue": "Zenodo",
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}