{
  "abstract": "FINDING: Phyllotaxis is governed by the golden angle (≈137.51°), the irrational rotation that maximizes seed/leaf packing efficiency via Fibonacci spiral lattices. | MATH: Golden angle = 360° × (1 − 1/φ) = 360° × (2 − φ) ≈ 137.507764°; equivalently 360°/(φ²) since φ² = φ + 1. In radians: 2π(2 − φ) ≈ 2.39996. The divergence angle is the continued fraction [0; 2, 1, 1, 1, ...] = 1/φ², the most irrational number (hardest to approximate by rationals). Phyllotaxis produces parastichy counts that are consecutive Fibonacci numbers (e.g., 21, 34, 55) — the ratio of successive counts → φ. | CONNECTION: The golden angle is the angular analogue of the golden ratio: 137.51°/222.49° = 0.618 (the golden ratio conjugate). The ratio of the two arcs (minor/major) = 1/φ = 0.6180339; major/minor = φ = 1.6180339. The lattice formed is a spiral phyllotaxis with 2D crystallographic-like symmetry — the seeds form a hexagonal close-packing in polar coordinates, with the golden angle generating a quasi-crystal\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,
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  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Andrew Stewart Caldin"
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  "bibtex": "https://research.draconitic.com/paper/aqc551raq71a6.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23447061",
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  "id": "aqc551raq71a6",
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  "landing_url": "https://zenodo.org/records/23447061",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "published": "2026-10-18",
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  "ris": "https://research.draconitic.com/paper/aqc551raq71a6.ris",
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    {
      "first_seen": "2026-11-01T12:21:48Z",
      "native_id": "23447061",
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  "title": "The Golden Angle: Nature's Optimal Packing via Fibonacci Spirals — E8 Intelligence Research",
  "title_text": "The Golden Angle: Nature's Optimal Packing via Fibonacci Spirals — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-01T12:21:48Z",
  "url": "https://research.draconitic.com/paper/aqc551raq71a6",
  "venue": "Zenodo",
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