{
  "schema": "connectedness-atlas/programme/v1",
  "title": "Connectedness Loci for Pairs of Planar Similarities",
  "subtitle": "An atlas of contact, connectedness and stable fractal families",
  "author": {
    "name": "Bernat Espigulé",
    "affiliation": "Universitat de Girona",
    "url": "https://complextrees.com/"
  },
  "canonical": "https://complextrees.com/4D/",
  "description": "Explore the four real parameters of planar binary similarities, move between their attractors and contact differences, and follow exact contact families into their stable slices.",
  "citation": {
    "text": "Bernat Espigulé. Connectedness Atlas: Companion Explorer for Planar Binary Similarities. 2026-10-02. https://complextrees.com/4D/.",
    "bibtex": "@software{Espigule2026ConnectednessAtlas,\n  author = {Espigul{\\'e}, Bernat},\n  title = {Connectedness Atlas: Companion Explorer for Planar Binary Similarities},\n  year = {2026},\n  version = {2026-10-02},\n  url = {https://complextrees.com/4D/},\n  note = {Source: https://github.com/espigule/espigule.github.io/tree/master/4D}\n}"
  },
  "resources": [
    {
      "title": "Live atlas",
      "description": "Six movable specimens link a full-angle DD survey to detailed attractors and contact differences.",
      "url": "https://complextrees.com/4D/atlas/",
      "kind": "explorer"
    },
    {
      "title": "Research laboratory",
      "description": "Investigate 43,173 preserved DD survey rays, compare specimens and export reproducible states.",
      "url": "https://complextrees.com/4D/lab/",
      "kind": "laboratory"
    },
    {
      "title": "Mathematics and data",
      "description": "Follow the definitions, exact results, computation records and source material behind the images.",
      "url": "https://complextrees.com/4D/docs/",
      "kind": "guide"
    }
  ],
  "researchLedger": "https://complextrees.com/4D/data/research-ledger.json",
  "publications": "https://complextrees.com/4D/data/publications.json",
  "datasets": "https://complextrees.com/4D/data/datasets.json",
  "updated": "2026-10-02",
  "rights": "Research authorship and original interactive designs are attributed to Bernat Espigulé. Individual publications retain their listed authors and rights. This catalogue grants no additional licence."
}