{
  "abstract": "FINDING: E₈ root system projects to icosahedral quasicrystal via golden-ratio-spaced cut-and-project, linking 8D lattice to 3D aperiodic order | MATH: E₈ = 240 minimal vectors; icosagrid = 10 plane sets (icosahedral); Fibonacci chain spacing τ = (1+√5)/2 ≈ 1.618; cut-and-project: E₈ → E₈/Λ → 3D physical space | CONNECTION: τ = 1.618 (golden ratio), τ² = 2.618, 1/τ = 0.618, 1/τ² = 0.382; icosahedral symmetry group = H₃ (order 120); E₈ ⊃ H₄ ⊃ H₃; 240 = 2×120 = |E₈ roots| = 2|H₃| | DEPTH: 9\n\n---\n\n**1. Key mathematical insight**\n\nThe cut-and-project method (de Bruijn 1981) generates Penrose tilings by slicing a higher-dimensional periodic lattice with an irrational-slope subspace. The icosagrid construction extends this: 10 sets of parallel planes arranged with icosahedral symmetry, spaced by the Fibonacci chain (spacings in ratio τ:1), produce an icosahedral quasicrystal. The critical result (arXiv:1511.07786) is that this icosahedral quasicrystal correlates directly with the E₈ lattice —\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/0hb55v16374eg.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23658625",
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  "id": "0hb55v16374eg",
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  "landing_url": "https://zenodo.org/records/23658625",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0hb55v16374eg.ris",
  "sources": [
    {
      "first_seen": "2026-11-09T12:21:35Z",
      "native_id": "23658625",
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  "subjects": [],
  "title": "E₈ Root System Projects to Icosahedral Quasicrystal via Golden-Ratio Cut-and-Project — E8 Intelligence Research",
  "title_text": "E₈ Root System Projects to Icosahedral Quasicrystal via Golden-Ratio Cut-and-Project — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-09T12:21:35Z",
  "url": "https://research.draconitic.com/paper/0hb55v16374eg",
  "venue": "Zenodo",
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}