{
  "schema_version": "1.0.0",
  "target_site": "https://bioelectricity.net",
  "primary_author": {
    "name": "Joel Dietz",
    "affiliation": "Project Delphi",
    "github": "https://github.com/fractastical/morpholib"
  },
  "embed_urls": {
    "interactive_module_iframe": "https://fractastical.github.io/morpholib/bioelectricity/",
    "full_morphospace_explorer_iframe": "https://fractastical.github.io/morpholib/",
    "visual_guide_pdf": "https://fractastical.github.io/morpholib/thompson_1917_visual_guide_for_everyone.pdf",
    "academic_manuscript_pdf": "https://fractastical.github.io/morpholib/thompson_1917_fish_transformations_manuscript.pdf",
    "rule30_conus_manuscript_pdf": "https://fractastical.github.io/morpholib/conus_textile_morphogenesis_to_rule30_manuscript.pdf"
  },
  "featured_discoveries": [
    {
      "id": "thompson-1917-morphospace-vs-competition",
      "title": "How Nature Builds 10,000 Fishes: Resolving D'Arcy Thompson's 1917 Transformation Paradox Across 10,303 Species",
      "author": "Joel Dietz",
      "date": "2026-10-22",
      "category": "Morphogenesis & Bioelectric Prepatterns",
      "tldr_13yo": "Global growth rules (D'Arcy Thompson's curved rubber sheet) shape the outside of a fish for swimming over 150 million years (94%\u201399% alignment across 440 families), while competition with neighbors rewires the jaws and snout on the inside (3.3\u00d7 to 9.3\u00d7 faster) so sister species can share the same coral reef without fighting over the same food.",
      "bioelectric_connection": "Directly parallels bioelectric morphogenesis in two ways: (1) Global V_mem axial-dorsoventral gradients establish the low-dimensional coordinate field (Thompson's 8-parameter rubber sheet) across the somitic trunk and median fin folds; (2) Local neural-crest craniofacial ionocyte domains ('Picasso frog' / teleost trophic modules) act as decoupled bioelectric subroutines that rapidly rewire jaw lever mechanics under sympatric trophic competition.",
      "hero_images": [
        "https://fractastical.github.io/morpholib/guide_step1_1917_rubber_sheet.png",
        "https://fractastical.github.io/morpholib/guide_step2_17dot_head_trap.png",
        "https://fractastical.github.io/morpholib/guide_step3_box_cheat_vs_curves.png",
        "https://fractastical.github.io/morpholib/guide_step4_outside_vs_inside_rules.png",
        "https://fractastical.github.io/morpholib/guide_step5_10000_fishes_scoreboard.png"
      ],
      "animated_gif": "https://fractastical.github.io/morpholib/media/thompson_1917_silhouette_paradox_summary.gif",
      "visual_guide_pdf": "https://fractastical.github.io/morpholib/thompson_1917_visual_guide_for_everyone.pdf",
      "manuscript_pdf": "https://fractastical.github.io/morpholib/thompson_1917_fish_transformations_manuscript.pdf"
    },
    {
      "id": "wolfram-rule30-conus-neural-mantle-isomorphism",
      "title": "From Bioelectric Mantle Excitation to Wolfram's Rule 30: Infinite Period-Doubling, Exact k\u2085 = 87,867 Horizon & Lean 4 Neural-Gate Isomorphism",
      "author": "Joel Dietz",
      "date": "2026-10-21",
      "category": "Neural / Bioelectric Cellular Automata",
      "tldr_13yo": "Proves in Lean 4 that the Ermentrout\u2013Campbell\u2013Oster (1986) neurosecretory mantle threshold equation is bit-for-bit isomorphic to Wolfram's Rule 30 cellular automaton, proves unconditionally that left-cone period-doubling never cycles (lim P_k = \u221e), and resolves the exact unit-seed P = 16 \u2192 32 horizon at diagonal k\u2085 = 87,867.",
      "animated_gif": "https://fractastical.github.io/morpholib/media/conus_textile_rule30.gif",
      "progress_gif": "https://fractastical.github.io/morpholib/media/rule30_prize_progress.gif",
      "manuscript_pdf": "https://fractastical.github.io/morpholib/conus_textile_morphogenesis_to_rule30_manuscript.pdf"
    }
  ]
}