{
  "abstract": "FINDING: Sunflower phyllotaxis exhibits Fibonacci spiral counts (13, 21, 34…) arising from the golden angle (≈137.507°), with experimental confirmation via magnetic fluid analog (Douady & Couder) and exceptions revealing deeper dynamical constraints. MATH: Golden angle = 360° × (1 − 1/φ) = 360° × (1 − 0.6180339…) = 137.507764°; equivalently 2π/φ² radians. Fibonacci spiral counts satisfy Fₙ (13, 21, 34, 55…) as consecutive terms of the Fibonacci recurrence Fₙ = Fₙ₋₁ + Fₙ₋₂. Divergence angle between successive primordia ≈ 137.5° = 2π × (1 − 1/φ) = 2π/φ². The golden ratio φ = (1+√5)/2 ≈ 1.6180339887; φ² = φ+1 ≈ 2.6180339887; 1/φ² ≈ 0.381966011 (≈0.382). CONNECTION: The golden angle is the irrational rotation that maximally avoids lattice resonance — its continued fraction [0;1,1,1,…] makes it the \"most irrational\" number, producing optimal packing in cylindrical lattices. The spiral counts (Fₙ, Fₙ₊₁) correspond to parastichy pairs whose ratio Fₙ₊₁/Fₙ → φ. The angle 137.5° is the compl\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": [
    {
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        0
      ],
      "name": "Andrew Stewart Caldin"
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  "bibtex": "https://research.draconitic.com/paper/89267sxzhn205.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23526345",
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  "id": "89267sxzhn205",
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  "landing_url": "https://zenodo.org/records/23526345",
  "language": "eng",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/89267sxzhn205.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T12:21:49Z",
      "native_id": "23526345",
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      "url": "https://zenodo.org/records/23526345"
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  "subjects": [],
  "title": "Golden Angle and Fibonacci Spirals in Sunflower Phyllotaxis: Dynamics, Exceptions, and Magnetic Analog Confirmation — E8 Intelligence Research",
  "title_text": "Golden Angle and Fibonacci Spirals in Sunflower Phyllotaxis: Dynamics, Exceptions, and Magnetic Analog Confirmation — E8 Intelligence Research",
  "type": "preprint",
  "updated_at": "2026-11-04T12:21:49Z",
  "url": "https://research.draconitic.com/paper/89267sxzhn205",
  "venue": "Zenodo",
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