{
  "abstract": "FINDING: Phyllotaxis is governed by the golden angle (137.507...°), the irrational rotation that maximizes seed/leaf packing efficiency via Fibonacci spacing. | MATH: Golden angle = 360° × (1 − 1/φ) = 360°/(φ²) ≈ 137.5077641°; equivalently 2π/φ² radians. φ = (1+√5)/2 ≈ 1.6180339887. The angle is the most irrational number (continued fraction [0;1,1,1,...]), ensuring no two successive elements align radially. Divergence angle converges to 2π/φ² as n→∞ for Fibonacci phyllotaxis. | CONNECTION: Directly encodes 0.618 (1/φ) and 1.618 (φ). The golden angle = 360° × 0.381966... = 360° × (1 − 0.618034). This is the angular analogue of the golden ratio's self-similar division of a circle. The resulting spiral families (parastichies) are Fibonacci pairs (e.g., 21/34, 55/89), reflecting the lattice structure of the Farey sequence and the modular group PSL(2,Z) — a crystallographic-like symmetry in polar coordinates. | DEPTH: 8 — This is a profound, empirically universal instance of irrational rot\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": [
    {
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        0
      ],
      "name": "Andrew Stewart Caldin"
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  "bibtex": "https://research.draconitic.com/paper/5f2szwn23c8hp.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23587268",
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  "id": "5f2szwn23c8hp",
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  "landing_url": "https://zenodo.org/records/23587268",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "published": "2026-10-23",
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  "ris": "https://research.draconitic.com/paper/5f2szwn23c8hp.ris",
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    {
      "first_seen": "2026-11-06T12:21:47Z",
      "native_id": "23587268",
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  "title": "The Golden Angle: Nature's Irrational Blueprint for Optimal Phyllotaxis — E8 Intelligence Research",
  "title_text": "The Golden Angle: Nature's Irrational Blueprint for Optimal Phyllotaxis — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-06T12:21:47Z",
  "url": "https://research.draconitic.com/paper/5f2szwn23c8hp",
  "venue": "Zenodo",
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