[
  {
    "name": "Curl noise",
    "contributors": [
      {
        "name": "Robert Bridson",
        "role": "2007 paper · coauthor",
        "detail": "Coauthored Curl-Noise for Procedural Fluid Flow, constructing incompressible procedural velocity fields with controllable boundaries.",
        "url": "https://www.cs.ubc.ca/~rbridson/docs/bridson-siggraph2007-curlnoise.pdf",
        "source": "Bridson, Hourihan & Nordenstam, SIGGRAPH 2007 (author-hosted paper)",
        "portraitUrl": "https://www.cs.ubc.ca/~rbridson/rbridson.jpg",
        "portraitPage": "https://www.cs.ubc.ca/~rbridson/"
      },
      {
        "name": "Jim Hourihan",
        "role": "2007 paper · coauthor",
        "detail": "Coauthored the 2007 curl-noise method for procedural fluid-like motion.",
        "url": "https://www.cs.ubc.ca/~rbridson/docs/bridson-siggraph2007-curlnoise.pdf",
        "source": "Bridson, Hourihan & Nordenstam, SIGGRAPH 2007 (author-hosted paper)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Marcus Nordenstam",
        "role": "2007 paper · coauthor",
        "detail": "Coauthored the 2007 curl-noise method, including treatment of solid boundaries.",
        "url": "https://www.cs.ubc.ca/~rbridson/docs/bridson-siggraph2007-curlnoise.pdf",
        "source": "Bridson, Hourihan & Nordenstam, SIGGRAPH 2007 (author-hosted paper)",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "The 2007 authors explicitly credit Kniss and Hart (2004) for earlier curl-of-Perlin-noise flow; this is a selected contribution, not a claim that the 2007 team invented every ingredient. The sketch is illustrative, not a complete fluid solver."
  },
  {
    "name": "Domain warping",
    "contributors": [
      {
        "name": "Ken Perlin",
        "role": "Noise and domain displacement",
        "detail": "Developed procedural noise and demonstrated domain displacement as a texture-building operation.",
        "url": "https://mrl.cs.nyu.edu/projects/texture/",
        "source": "NYU Media Research Lab · procedural textures"
      },
      {
        "name": "Iñigo Quilez",
        "role": "Earlier exposition",
        "detail": "Mathias Isaksen's first-person account explicitly credits Quilez's 2002 domain-warping article as an earlier explanation of the technique.",
        "url": "https://st4yho.me/domain-warping-an-interactive-introduction/",
        "source": "Mathias Isaksen, Domain warping: an interactive introduction (2022)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Mathias Isaksen",
        "role": "Later artist / expositor",
        "detail": "His illustrated tutorial documents domain-warped artworks and shows how to repeatedly displace sample positions with noise.",
        "url": "https://st4yho.me/domain-warping-an-interactive-introduction/",
        "source": "Artist's own tutorial, 18 March 2022",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Domain warping is a family of coordinate transformations, not one invention. These entries distinguish procedural-texture foundations from later explanations and artistic uses."
  },
  {
    "name": "Vector fields from math",
    "contributors": [
      {
        "name": "Josiah Willard Gibbs",
        "role": "Mathematical foundation",
        "detail": "Developed vector analysis as a practical mathematical language; his 1881–1884 Yale notes are preserved by the Smithsonian.",
        "url": "https://library.si.edu/digital-library/book/elementsvectora00gibb",
        "source": "Smithsonian Libraries, Elements of vector analysis",
        "portraitUrl": "https://mathshistory.st-andrews.ac.uk/Biographies/Gibbs/Gibbs.jpeg",
        "portraitPage": "https://mathshistory.st-andrews.ac.uk/Biographies/Gibbs/pictdisplay/"
      },
      {
        "name": "Oliver Heaviside",
        "role": "Mathematical foundation",
        "detail": "The Smithsonian identifies Heaviside alongside Gibbs as a developer of practical vector analysis.",
        "url": "https://library.si.edu/digital-library/book/elementsvectora00gibb",
        "source": "Smithsonian Libraries, Elements of vector analysis",
        "portraitUrl": "https://mathshistory.st-andrews.ac.uk/Biographies/Heaviside/Heaviside.jpeg",
        "portraitPage": "https://mathshistory.st-andrews.ac.uk/Biographies/Heaviside/pictdisplay/"
      },
      {
        "name": "Tyler Hobbs",
        "role": "Later artist / expositor",
        "detail": "Explains tracing paths through direction fields and shows how he uses and varies them in his own artwork.",
        "url": "https://www.tylerxhobbs.com/words/flow-fields",
        "source": "Tyler Hobbs · Flow Fields"
      },
      {
        "name": "Gene Kogan",
        "role": "Artistic use · Vertex rivers (2011)",
        "detail": "His work index describes Vertex rivers as dots over vector fields. The work page documents a generative sketch, shown at Big Screen Plaza in January 2012, and links to its OpenProcessing code.",
        "url": "https://genekogan.com/work/",
        "source": "Artist’s work index · Vertex rivers",
        "review": "checked",
        "checked": "2026-09-27"
      }
    ],
    "caveat": "This is a broad mathematical family, not a named algorithm with one inventor; these are foundations of the language, not claims that Gibbs or Heaviside made this sketch or invented every vector-field technique."
  },
  {
    "name": "Chladni / standing waves",
    "contributors": [
      {
        "name": "Ernst Chladni",
        "role": "Experimental pioneer",
        "detail": "Developed sand-covered vibrating-plate demonstrations that made nodal patterns visible.",
        "url": "https://amhistory.si.edu/science/chladni.htm",
        "source": "Smithsonian, Chladni Plates",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Chladni is credited for the experimental plate technique, not the whole theory of standing waves. Trigonometric sketches suggest nodal patterns but do not necessarily solve a physical plate's boundary-value problem."
  },
  {
    "name": "Reaction–diffusion (Gray–Scott)",
    "contributors": [
      {
        "name": "Alan Turing",
        "role": "1952 theoretical foundation",
        "detail": "Proposed reaction and diffusion as a mechanism for the emergence of biological pattern.",
        "url": "https://embryo.asu.edu/pages/chemical-basis-morphogenesis-1952-alan-m-turing",
        "source": "Arizona State University, Embryo Project Encyclopedia",
        "portraitUrl": "https://mathshistory.st-andrews.ac.uk/Biographies/Turing/Turing.jpeg",
        "portraitPage": "https://mathshistory.st-andrews.ac.uk/Biographies/Turing/pictdisplay/"
      },
      {
        "name": "Peter Gray",
        "role": "1984 model · coauthor",
        "detail": "Coauthored the analysis of cubic autocatalysis and catalyst decay in an isothermal stirred reactor underlying the Gray–Scott model.",
        "url": "https://www.sciencedirect.com/science/article/abs/pii/0009250984870177",
        "source": "Gray & Scott, Chemical Engineering Science 39 (1984), 1087–1097; metadata verified through NII and CNRS records",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Stephen K. Scott",
        "role": "1984 model · coauthor",
        "detail": "Coauthored the reaction-system analysis that supplies the named Gray–Scott chemical model.",
        "url": "https://www.sciencedirect.com/science/article/abs/pii/0009250984870177",
        "source": "Gray & Scott, Chemical Engineering Science 39 (1984), 1087–1097; metadata verified through NII and CNRS records",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "John E. Pearson",
        "role": "1993 pattern study",
        "detail": "His simulations demonstrated diverse irregular patterns and dividing spots in a simple reaction–diffusion system.",
        "url": "https://arxiv.org/abs/patt-sol/9304003",
        "source": "Pearson, Complex Patterns in a Simple System (1993), author preprint",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Karl Sims",
        "role": "Later artistic exposition",
        "detail": "His tutorial explains an implementation of Gray–Scott reaction–diffusion and ways of controlling the resulting patterns.",
        "url": "https://www.karlsims.com/rd.html",
        "source": "Karl Sims, Reaction-Diffusion Tutorial",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Turing supplied a broader theoretical foundation, Gray and Scott the named chemistry, Pearson a major spatial-pattern study, and Sims a later tutorial. These roles are distinct; the illustrative sketch should not be presented as a validated numerical simulation."
  },
  {
    "name": "Differential growth",
    "contributors": [
      {
        "name": "Haiyi Liang",
        "role": "2011 scientific model · coauthor",
        "detail": "Coauthored experiments and a thin-shell model showing how excess edge growth can drive a lily's blooming.",
        "url": "https://pmc.ncbi.nlm.nih.gov/articles/PMC3078366/",
        "source": "Liang & Mahadevan, PNAS (2011)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "L. Mahadevan",
        "role": "2011 scientific model · coauthor",
        "detail": "Coauthored the lily-growth study explicitly identified by Nervous System as an inspiration for Floraform.",
        "url": "https://pmc.ncbi.nlm.nih.gov/articles/PMC3078366/",
        "source": "Liang & Mahadevan, PNAS (2011); Floraform project credits",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Jessica Rosenkrantz",
        "role": "Later artistic use",
        "detail": "As a Nervous System cofounder, developed a studio practice whose Floraform system turns differential surface growth into sculptures and jewelry.",
        "url": "https://n-e-r-v-o-u-s.com/projects/floraform/",
        "source": "Nervous System, Floraform; studio authorship verified on About Us",
        "portraitUrl": "https://n-e-r-v-o-u-s.com/images/about/jessica_2025_website.jpg",
        "portraitPage": "https://n-e-r-v-o-u-s.com/about_us.php"
      },
      {
        "name": "Jesse Louis-Rosenberg",
        "role": "Later artistic use",
        "detail": "As a Nervous System cofounder, developed a studio practice whose Floraform system simulates differently growing elastic surfaces.",
        "url": "https://n-e-r-v-o-u-s.com/projects/floraform/",
        "source": "Nervous System, Floraform; studio authorship verified on About Us",
        "portraitUrl": "https://n-e-r-v-o-u-s.com/images/about/jesse_2025_website.jpg",
        "portraitPage": "https://n-e-r-v-o-u-s.com/about_us.php"
      },
      {
        "name": "Anders Hoff",
        "role": "Later artistic implementation",
        "detail": "His Differential Line code grows connected nodes and explicitly compares its behavior with Nervous System's Floraform.",
        "url": "https://github.com/inconvergent/differential-line",
        "source": "Artist's own code; identity verified on inconvergent.net",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Differential growth is a biological and mathematical family with no single inventor. These are a documented scientific study, a later design system, and a line-based artistic implementation; they are not interchangeable algorithms."
  },
  {
    "name": "Diffusion-limited aggregation (DLA)",
    "contributors": [
      {
        "name": "Thomas A. Witten Jr.",
        "role": "1981 model · coauthor",
        "detail": "Coauthored the original diffusion-limited aggregation paper studying random aggregates by computer simulation.",
        "url": "https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.47.1400",
        "source": "Witten & Sander, Physical Review Letters 47 (1981), 1400",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Leonard M. Sander",
        "role": "1981 model · coauthor",
        "detail": "Coauthored the diffusion-limited aggregation model and its analysis of scaling in random aggregates.",
        "url": "https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.47.1400",
        "source": "Witten & Sander, Physical Review Letters 47 (1981), 1400",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "The original model has many later lattice, off-lattice, and artistic variants. A branching illustration alone does not establish that a sketch actually performs random-walk aggregation."
  },
  {
    "name": "Space colonization",
    "contributors": [
      {
        "name": "Adam Runions",
        "role": "2007 paper · coauthor",
        "detail": "Coauthored the space-colonization tree model extending an earlier open leaf-venation model into three dimensions.",
        "url": "https://algorithmicbotany.org/papers/colonization.egwnp2007.html",
        "source": "Runions, Lane & Prusinkiewicz, Eurographics Workshop on Natural Phenomena (2007)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Brendan Lane",
        "role": "2007 paper · coauthor",
        "detail": "Coauthored the tree-growth algorithm whose parameters control visually relevant characteristics of tree shape.",
        "url": "https://algorithmicbotany.org/papers/colonization.egwnp2007.html",
        "source": "Runions, Lane & Prusinkiewicz, Eurographics Workshop on Natural Phenomena (2007)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Przemysław Prusinkiewicz",
        "role": "2007 paper · coauthor",
        "detail": "Coauthored the space-colonization model of trees based on geometric competition for available space.",
        "url": "https://algorithmicbotany.org/papers/colonization.egwnp2007.html",
        "source": "Runions, Lane & Prusinkiewicz, Eurographics Workshop on Natural Phenomena (2007)",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Credit here is for the named 2007 tree algorithm, not every model of plant growth; it builds on earlier leaf-venation work. The sketch is an illustration, not a claim to reproduce the full published method."
  },
  {
    "name": "Physarum / slime mold",
    "contributors": [
      {
        "name": "Jeff Jones",
        "role": "2010 agent model",
        "detail": "Published a Physarum-inspired model in which simple chemotactic particles form and reorganize transport networks.",
        "url": "https://uwe-repository.worktribe.com/output/980579/characteristics-of-pattern-formation-and-evolution-in-approximations-of-physarum-transport-networks",
        "source": "Jones, Artificial Life 16 (2010), 127–153; UWE institutional repository",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Physarum research includes living-organism experiments and many mathematical models. Jones is credited for a particular influential agent model, not for discovering slime mold or inventing all slime-mold simulations; the sketch is illustrative."
  },
  {
    "name": "Cellular automata beyond Life",
    "contributors": [
      {
        "name": "Stephen Wolfram",
        "role": "1983 elementary-CA study",
        "detail": "Analyzed self-organization and pattern formation in one-dimensional binary cellular automata.",
        "url": "https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.55.601",
        "source": "Wolfram, Reviews of Modern Physics 55 (1983), 601",
        "portraitUrl": "https://www.stephenwolfram.com/about/images/01-inpages-about_10.png",
        "portraitPage": "https://www.stephenwolfram.com/about/"
      },
      {
        "name": "Bert Wang-Chak Chan",
        "role": "Later continuous-CA model",
        "detail": "Introduced Lenia, a cellular-automaton system with continuous space-time-state and a generalized local rule.",
        "url": "https://arxiv.org/abs/1812.05433",
        "source": "Chan, Lenia—Biology of Artificial Life (2018 preprint; 2019 publication)",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "This broad family has many contributors and no single inventor represented by this selection. Wolfram's elementary automata and Chan's Lenia are distinct examples beyond Life; neither is claimed to be the exact rule of the illustrative sketch."
  },
  {
    "name": "Truchet tiles",
    "contributors": [
      {
        "name": "Sébastien Truchet",
        "role": "1704 tile study",
        "detail": "Studied combinations of square tiles divided diagonally into contrasting triangles in Mémoire sur les combinaisons.",
        "url": "https://www.newsroom.hlf-foundation.org/blog/article/truchet-tilings/",
        "source": "Heidelberg Laureate Forum Foundation, Truchet Tilings",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Cyril Stanley Smith",
        "role": "1987 expansion / exposition",
        "detail": "Revisited Truchet's work in Leonardo and discussed alternative motifs including paired quarter-circle arcs.",
        "url": "https://www.newsroom.hlf-foundation.org/blog/article/truchet-tilings/",
        "source": "Heidelberg Laureate Forum Foundation, Truchet Tilings",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Pauline Boucher",
        "role": "1987 translation",
        "detail": "Translated Truchet's original text for the Leonardo publication that brought it to a later audience.",
        "url": "https://www.newsroom.hlf-foundation.org/blog/article/truchet-tilings/",
        "source": "Heidelberg Laureate Forum Foundation, Truchet Tilings",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Truchet's original motif is a divided square; the familiar arc motif belongs to later development. Smith is not asserted to be the first person ever to use quarter-circle tiles, and Boucher's contribution is translation."
  },
  {
    "name": "Wang tiles",
    "contributors": [
      {
        "name": "Hao Wang",
        "role": "1961 formal system",
        "detail": "Introduced the combinatorial tile problem in Proving Theorems by Pattern Recognition—II.",
        "url": "https://onlinelibrary.wiley.com/doi/abs/10.1002/j.1538-7305.1961.tb03975.x",
        "source": "Wang, Bell System Technical Journal 40 (1961), 1–41",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Michael F. Cohen",
        "role": "2003 graphics use · coauthor",
        "detail": "Coauthored a stochastic Wang-tile method for efficiently constructing nonperiodic textures, patterns, and geometry.",
        "url": "https://graphics.uni-konstanz.de/publikationen/Cohen2003WangTilesImage/index.html",
        "source": "Cohen, Shade, Hiller & Deussen, ACM TOG (2003); author-hosted institutional page",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Jonathan Shade",
        "role": "2003 graphics use · coauthor",
        "detail": "Coauthored the Wang-tile graphics method for continuous nonperiodic image and texture generation.",
        "url": "https://graphics.uni-konstanz.de/publikationen/Cohen2003WangTilesImage/index.html",
        "source": "Cohen, Shade, Hiller & Deussen, ACM TOG (2003); author-hosted institutional page",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Stefan Hiller",
        "role": "2003 graphics use · coauthor",
        "detail": "Coauthored the stochastic tiling and tile-filling methods presented in the 2003 graphics paper.",
        "url": "https://graphics.uni-konstanz.de/publikationen/Cohen2003WangTilesImage/index.html",
        "source": "Cohen, Shade, Hiller & Deussen, ACM TOG (2003); author-hosted institutional page",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Oliver Deussen",
        "role": "2003 graphics use · coauthor",
        "detail": "Coauthored the graphics method applying edge-coded tiles to textures, sample distributions, and geometry.",
        "url": "https://graphics.uni-konstanz.de/publikationen/Cohen2003WangTilesImage/index.html",
        "source": "Cohen, Shade, Hiller & Deussen, ACM TOG (2003); author-hosted institutional page",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Wang's logical tiling system and its later graphics applications are different contributions. Not every matching tile set is aperiodic; an illustrative sketch need not solve the infinite-plane tiling problem."
  },
  {
    "name": "Wallpaper groups",
    "contributors": [
      {
        "name": "Evgraf S. Fedorov",
        "role": "Early classification",
        "detail": "The IUCr history credits Fedorov with the first description of the 17 plane symmetry groups in 1890 or 1891.",
        "url": "https://www.iucr.org/news/newsletter/volume-33/number-5/appeal-of-symmetry",
        "source": "International Union of Crystallography, Appeal of Symmetry (2025)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "George Pólya",
        "role": "1924 independent classification",
        "detail": "Enumerated the 17 plane symmetry groups and illustrated each with a tiling, helping connect the mathematics to decorative art.",
        "url": "https://www.iucr.org/news/newsletter/volume-33/number-5/appeal-of-symmetry",
        "source": "International Union of Crystallography, Appeal of Symmetry (2025)",
        "portraitUrl": "https://mathshistory.st-andrews.ac.uk/Biographies/Polya/Polya.jpeg",
        "portraitPage": "https://mathshistory.st-andrews.ac.uk/Biographies/Polya/pictdisplay/"
      },
      {
        "name": "M. C. Escher",
        "role": "Later artistic use",
        "detail": "Studied Pólya's diagrams and used a tiling derived from that study in Development I.",
        "url": "https://www.iucr.org/news/newsletter/volume-33/number-5/appeal-of-symmetry",
        "source": "International Union of Crystallography, Appeal of Symmetry (2025)",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "These people contributed to classification, exposition, and later art; they did not invent the long cultural history of repeating ornament. A sketch that repeats motifs may show only one group rather than all 17."
  },
  {
    "name": "Girih / Islamic star patterns",
    "contributors": [
      {
        "name": "Peter J. Lu",
        "role": "2007 geometric analysis",
        "detail": "Coauthored a study interpreting medieval girih designs through decorated polygonal tiles and self-similar transformations.",
        "url": "https://peterlu.org/research/islamic_tilings",
        "source": "Author research page and Science paper",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Paul J. Steinhardt",
        "role": "2007 geometric analysis",
        "detail": "Coauthored the study of decagonal and nearly quasicrystalline order in medieval Islamic architectural patterns.",
        "url": "https://peterlu.org/research/islamic_tilings",
        "source": "Author research page and Science paper",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Gülru Necipoğlu",
        "role": "Historical scholarship",
        "detail": "Authored The Topkapı Scroll, a historical study of geometry and ornament in Islamic architecture.",
        "url": "https://www.getty.edu/publications/resources/virtuallibrary/9780892363353.pdf",
        "source": "Getty, The Topkapı Scroll (1995)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Mohammad al-Asad",
        "role": "Contributing scholar",
        "detail": "Contributed the essay on the geometry of muqarnas to The Topkapı Scroll.",
        "url": "https://www.getty.edu/publications/resources/virtuallibrary/9780892363353.pdf",
        "source": "Getty, The Topkapı Scroll (1995)",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Islamic geometric ornament is a centuries-long, collective artistic tradition with no single inventor; these named scholars are interpreters, not the original artisans. The quasicrystalline reading concerns particular examples, not all girih, and al-Asad’s documented contribution concerns adjacent muqarnas geometry."
  },
  {
    "name": "Penrose / aperiodic",
    "contributors": [
      {
        "name": "Roger Penrose",
        "role": "1970s tilings",
        "detail": "Developed the aperiodic tilings bearing his name and described his construction in 1974.",
        "url": "https://www.ams.org/journals/notices/202308/noti2759/noti2759.html?adat=September+2023&cat=feature&galt=feature&pdffile=rnoti-p1179.pdf&pdfissue=202308&trk=2759",
        "source": "AMS Notices, September 2023",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Robert Berger",
        "role": "Earlier tiling theory",
        "detail": "Authored the 1966 proof that the general domino tiling problem is undecidable.",
        "url": "https://www.ams.org/journals/notices/196701/196701FullIssue.pdf",
        "source": "AMS publisher notice for Memoir 66",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Penrose tilings are one specific family within aperiodic tiling theory; Berger is credited for earlier foundations, not for Penrose’s tiles. A finite decorative patch alone does not prove aperiodicity."
  },
  {
    "name": "Hyperbolic tilings {p,q}",
    "contributors": [
      {
        "name": "H. S. M. Coxeter",
        "role": "Mathematical bridge",
        "detail": "Sent Escher a symmetry paper whose hyperbolic tiling diagram helped inspire the Circle Limit series.",
        "url": "https://www.ams.org/samplings/feature-column/fcarc-circle-limit",
        "source": "AMS, How Did Escher Do It?",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "M. C. Escher",
        "role": "Artistic interpretation",
        "detail": "Studied Coxeter’s diagram and translated hyperbolic repetition into his Circle Limit woodcuts.",
        "url": "https://www.ams.org/samplings/feature-column/fcarc-circle-limit",
        "source": "AMS, How Did Escher Do It?",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Henri Poincaré",
        "role": "Disk-model namesake",
        "detail": "The AMS account describes the unit-disk model of hyperbolic geometry as attributed to Poincaré.",
        "url": "https://www.ams.org/samplings/feature-column/fcarc-circle-limit",
        "source": "AMS, How Did Escher Do It?",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Hyperbolic geometry and regular tilings have a broad mathematical history; this selection traces a model and an artistic exchange, not a single invention. Escher’s motif boundaries need not all be hyperbolic geodesics."
  },
  {
    "name": "L-systems",
    "contributors": [
      {
        "name": "Aristid Lindenmayer",
        "role": "1968 growth formalism",
        "detail": "Developed formal growth models for cellular interactions, including branching filaments.",
        "url": "https://www0.cs.ucl.ac.uk/staff/p.bentley/teaching/L6_reading/lsystems.pdf",
        "source": "Lindenmayer, Journal of Theoretical Biology (1968), institutional copy",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Przemysław Prusinkiewicz",
        "role": "1986 graphical method",
        "detail": "Presented turtle interpretation of L-system strings to generate fractal curves and plant-like pictures.",
        "url": "https://algorithmicbotany.org/papers/graphical.gi86.html",
        "source": "Author publication page, Graphics Interface 1986",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "The biological rewriting formalism and its graphical interpretation are distinct contributions; many later extensions and collaborators are outside this short selection."
  },
  {
    "name": "Recursive subdivision",
    "contributors": [
      {
        "name": "Edwin Catmull",
        "role": "1978 surface subdivision",
        "detail": "Coauthored a recursive method producing B-spline surfaces on meshes of arbitrary topology.",
        "url": "https://people.eecs.berkeley.edu/~sequin/CS284/PAPERS/CatmullClark_SDSurf.pdf",
        "source": "Catmull and Clark, Computer-Aided Design (1978), Berkeley-hosted original",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "James Clark",
        "role": "1978 surface subdivision",
        "detail": "Coauthored the generalization of recursive bicubic B-spline subdivision to arbitrary mesh topology.",
        "url": "https://people.eecs.berkeley.edu/~sequin/CS284/PAPERS/CatmullClark_SDSurf.pdf",
        "source": "Catmull and Clark, Computer-Aided Design (1978), Berkeley-hosted original",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Recursive subdivision is a general strategy with no single inventor. Catmull and Clark are a documented graphics branch; splitting a flat canvas into rectangles is not automatically Catmull–Clark surface subdivision."
  },
  {
    "name": "Chaos game / IFS",
    "contributors": [
      {
        "name": "John E. Hutchinson",
        "role": "1981 mathematical foundation",
        "detail": "Developed a rigorous theory of self-similar sets and measures generated by finite families of contractions.",
        "url": "https://maths-people.anu.edu.au/~john/Assets/Research%20Papers/fractals_self-similarity.pdf",
        "source": "Hutchinson, Fractals and Self Similarity (1981), author copy",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Michael Barnsley",
        "role": "Chaos-game research",
        "detail": "Coauthored a theorem showing when a chaos-game orbit yields an attractor for a general iterated function system.",
        "url": "https://arxiv.org/abs/1005.0322",
        "source": "Barnsley and Vince, The Chaos Game on a General Iterated Function System",
        "portraitUrl": "https://maths.anu.edu.au/sites/prod.maths.sca-lws06.anu.edu.au/files/styles/portrait_250_250/public/Barnsley%252C%2520Michael.jpg.webp?h=6783ce62&itok=ul6P9msu",
        "portraitPage": "https://maths.anu.edu.au/people/michael-barnsley"
      },
      {
        "name": "Andrew Vince",
        "role": "Chaos-game research",
        "detail": "Coauthored the general chaos-game theorem, including settings beyond contractive IFS.",
        "url": "https://arxiv.org/abs/1005.0322",
        "source": "Barnsley and Vince, The Chaos Game on a General Iterated Function System",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "This links foundational IFS theory with later random-iteration research; it does not assign sole invention of every chaos-game variant to these authors."
  },
  {
    "name": "Fractal fracture",
    "contributors": [
      {
        "name": "Alain Fournier",
        "role": "1982 stochastic subdivision · coauthor",
        "detail": "Coauthored recursive stochastic subdivision methods for rendering rough curves and surfaces.",
        "url": "https://ohiostate.pressbooks.pub/app/uploads/sites/45/2017/09/stochastic-fournier.pdf",
        "source": "Fournier, Fussell & Carpenter · Computer Rendering of Stochastic Models (1982)"
      },
      {
        "name": "Donald Fussell",
        "role": "1982 stochastic subdivision · coauthor",
        "detail": "Coauthored recursive stochastic subdivision methods for rendering rough curves and surfaces.",
        "url": "https://ohiostate.pressbooks.pub/app/uploads/sites/45/2017/09/stochastic-fournier.pdf",
        "source": "Fournier, Fussell & Carpenter · Computer Rendering of Stochastic Models (1982)"
      },
      {
        "name": "Loren Carpenter",
        "role": "1982 stochastic subdivision · coauthor",
        "detail": "Coauthored recursive stochastic subdivision methods for rendering rough curves and surfaces.",
        "url": "https://ohiostate.pressbooks.pub/app/uploads/sites/45/2017/09/stochastic-fournier.pdf",
        "source": "Fournier, Fussell & Carpenter · Computer Rendering of Stochastic Models (1982)"
      }
    ],
    "caveat": "The catalog’s rough-edge sketch is closest to recursive random displacement. These authors document that graphics lineage; this is not a claim that the sketch simulates physical fracture."
  },
  {
    "name": "Strange attractors",
    "contributors": [
      {
        "name": "Edward N. Lorenz",
        "role": "1963 nonlinear model",
        "detail": "Demonstrated unstable nonperiodic trajectories in a simplified deterministic convection model.",
        "url": "https://journals.ametsoc.org/doi/abs/10.1175/1520-0469%281963%29020%3C0130%3Adnf%3E2.0.CO%3B2",
        "source": "Lorenz, Deterministic Nonperiodic Flow (1963)",
        "portraitUrl": "https://images.squarespace-cdn.com/content/v1/5f1b2cc864da571b04dd30f0/1597851221504-7L291WF25O4JWEV62GX1/Image%2BLorenz%2Bcopy.jpg",
        "portraitPage": "https://www.lorenz.mit.edu/edward-n-lorenz"
      },
      {
        "name": "David Ruelle",
        "role": "1971 attractor theory",
        "detail": "Coauthored a proposed mechanism for turbulence in dissipative systems using strange attractors.",
        "url": "https://www.ihes.fr/~ruelle/PUBLICATIONS/%5B29%5D.pdf",
        "source": "Ruelle and Takens, On the Nature of Turbulence (1971)",
        "portraitUrl": "https://www.ihes.fr/wp-content/uploads/2016/10/david-ruelle.jpg",
        "portraitPage": "https://www.ihes.fr/en/professeur/david-ruelle-2/"
      },
      {
        "name": "Floris Takens",
        "role": "1971 attractor theory",
        "detail": "Coauthored the mathematical turbulence proposal describing strange attractors.",
        "url": "https://www.ihes.fr/~ruelle/PUBLICATIONS/%5B29%5D.pdf",
        "source": "Ruelle and Takens, On the Nature of Turbulence (1971)",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Strange attractors are a family of dynamical objects, not one curve or one formula; a visually tangled trajectory alone does not demonstrate chaos."
  },
  {
    "name": "Harmonographs / Lissajous",
    "contributors": [
      {
        "name": "Jules Lissajous",
        "role": "1850s vibration studies",
        "detail": "Developed an optical method for studying vibrations associated with the curves named after him.",
        "url": "https://collection.sciencemuseumgroup.org.uk/objects/co60446/sympalmograph-in-fitted-box",
        "source": "Science Museum Group, Sympalmograph collection record",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "John Browning",
        "role": "Drawing-instrument maker",
        "detail": "Made the circa-1877 sympalmograph, a harmonograph variant drawing combined perpendicular harmonic motions.",
        "url": "https://collection.sciencemuseumgroup.org.uk/objects/co60446/sympalmograph-in-fitted-box",
        "source": "Science Museum Group, Sympalmograph collection record",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Zach Lieberman",
        "role": "Teaching · Lissajous figures in C++",
        "detail": "Authored the openFrameworks animation chapter, including a Lissajous section demonstrating different angular rates for horizontal and vertical motion. A contemporary teaching contribution; Jules Antoine Lissajous remains credited for the historical curves.",
        "url": "https://openframeworks.cc/ofBook/chapters/animation.html#lissajous-figures",
        "source": "ofBook · animation chapter by Zach Lieberman",
        "review": "checked",
        "checked": "2026-09-27"
      }
    ],
    "caveat": "Harmonographs are a family of instruments with no single inventor established here; Lissajous’s optical work and Browning’s manufactured drawing machine are different contributions."
  },
  {
    "name": "Double pendulum / N-body trails",
    "contributors": [
      {
        "name": "Troy Shinbrot",
        "role": "1992 pendulum experiment",
        "detail": "Coauthored an experimental and numerical demonstration of sensitive dependence in a double pendulum.",
        "url": "https://www.yorke.umd.edu/Yorke_papers_most_cited_and_post2000/1992-04-Wisdom_Shinbrot_AmerJPhys_double_pendulum.pdf",
        "source": "Shinbrot, Grebogi, Wisdom and Yorke, American Journal of Physics (1992)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Celso Grebogi",
        "role": "1992 pendulum experiment",
        "detail": "Coauthored the double-pendulum study measuring exponential growth of initially small separations.",
        "url": "https://www.yorke.umd.edu/Yorke_papers_most_cited_and_post2000/1992-04-Wisdom_Shinbrot_AmerJPhys_double_pendulum.pdf",
        "source": "Shinbrot, Grebogi, Wisdom and Yorke, American Journal of Physics (1992)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Jack Wisdom",
        "role": "1992 pendulum experiment",
        "detail": "Coauthored the comparison between measured double-pendulum motion and numerical simulations.",
        "url": "https://www.yorke.umd.edu/Yorke_papers_most_cited_and_post2000/1992-04-Wisdom_Shinbrot_AmerJPhys_double_pendulum.pdf",
        "source": "Shinbrot, Grebogi, Wisdom and Yorke, American Journal of Physics (1992)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "James A. Yorke",
        "role": "1992 pendulum experiment",
        "detail": "Coauthored the laboratory demonstration of chaotic double-pendulum motion.",
        "url": "https://www.yorke.umd.edu/Yorke_papers_most_cited_and_post2000/1992-04-Wisdom_Shinbrot_AmerJPhys_double_pendulum.pdf",
        "source": "Shinbrot, Grebogi, Wisdom and Yorke, American Journal of Physics (1992)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Josh Barnes",
        "role": "1986 N-body algorithm",
        "detail": "Coauthored a hierarchical tree algorithm for efficiently calculating gravitational forces among many bodies.",
        "url": "https://www.nature.com/articles/324446a0",
        "source": "Barnes and Hut, Nature (1986)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Piet Hut",
        "role": "1986 N-body algorithm",
        "detail": "Coauthored the recursive spatial-subdivision method now called the Barnes–Hut algorithm.",
        "url": "https://www.nature.com/articles/324446a0",
        "source": "Barnes and Hut, Nature (1986)",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "These are two different mechanics recipes grouped by their visible trails. The cited researchers did not invent pendulums, gravity, or all N-body methods; a small direct-sum simulation need not use Barnes–Hut."
  },
  {
    "name": "Orbit traps",
    "contributors": [
      {
        "name": "Clifford A. Pickover",
        "role": "Epsilon-cross precursor",
        "detail": "Developed the epsilon-cross method identified by Carlson as a precursor to his 3-D stalk rendering.",
        "url": "https://www.sciencedirect.com/science/article/abs/pii/S0097849399001235",
        "source": "Carlson, Computers & Graphics (1999), introduction",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Paul W. Carlson",
        "role": "Artistic rendering methods",
        "detail": "Presented two artistic orbit-trap rendering methods for Newton M-set fractals and described extensions of Pickover’s approach.",
        "url": "https://www.sciencedirect.com/science/article/abs/pii/S0097849399001235",
        "source": "Carlson, Computers & Graphics (1999)",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Orbit traps color an iterated orbit using its relationship to a geometric target; they are a rendering family distinct from the underlying fractal formula."
  },
  {
    "name": "Poisson-disk / blue noise",
    "contributors": [
      {
        "name": "Robert L. Cook",
        "role": "1986 graphics sampling",
        "detail": "Showed how appropriately nonuniform sampling turns structured aliasing into less objectionable noise.",
        "url": "https://graphics.pixar.com/library/StochasticSampling/",
        "source": "Cook, Stochastic Sampling in Computer Graphics (1986), Pixar archive",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Robert Bridson",
        "role": "2007 fast sampler",
        "detail": "Presented a linear-time Poisson-disk sampler using an active list, local candidates and a background grid.",
        "url": "https://www.cs.ubc.ca/~rbridson/docs/bridson-siggraph07-poissondisk.pdf",
        "source": "Bridson, ACM SIGGRAPH 2007 Sketches",
        "portraitUrl": "https://www.cs.ubc.ca/~rbridson/rbridson.jpg",
        "portraitPage": "https://www.cs.ubc.ca/~rbridson/"
      }
    ],
    "caveat": "Blue noise describes spectral behavior, while Poisson-disk sampling imposes minimum spacing; the terms are related but not interchangeable, and neither broad tradition has one inventor."
  },
  {
    "name": "Dithering as art",
    "contributors": [
      {
        "name": "Robert W. Floyd",
        "role": "1976 error diffusion",
        "detail": "Coauthored An Adaptive Algorithm for Spatial Greyscale, the paper associated with Floyd–Steinberg dithering.",
        "url": "https://isgwww.cs.uni-magdeburg.de/~stefans/npr/entry-Floyd-1976-AAS.html",
        "source": "University of Magdeburg bibliography for Floyd and Steinberg (1976)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Louis Steinberg",
        "role": "1976 error diffusion",
        "detail": "Coauthored the spatial-greyscale algorithm jointly credited as Floyd–Steinberg dithering.",
        "url": "https://isgwww.cs.uni-magdeburg.de/~stefans/npr/entry-Floyd-1976-AAS.html",
        "source": "University of Magdeburg bibliography for Floyd and Steinberg (1976)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Donald E. Knuth",
        "role": "1987 dot diffusion",
        "detail": "Published Digital Halftones by Dot Diffusion, another documented route from continuous tones to discrete marks.",
        "url": "https://profiles.stanford.edu/donald-knuth",
        "source": "Stanford profile publication record",
        "portraitUrl": "https://profiles.stanford.edu/proxy/api/cap/profiles/41803/resources/profilephoto/350x350.1509557588525.jpg",
        "portraitPage": "https://profiles.stanford.edu/donald-knuth"
      },
      {
        "name": "Golan Levin",
        "role": "Teaching · Code as Creative Medium co-author",
        "detail": "Co-authored the creative-coding book and its shared example collection, including this random-dot dithering exercise. The repository credits assistance from Lingdong Huang, Tatyana Mustakos, Cassie Scheirer, and Xinyi (Joyce) Wang. This is a teaching credit, not sole implementation or invention.",
        "url": "https://github.com/golanlevin/exercises/tree/main/12_image/04_random_dot_dithering",
        "source": "Code as Creative Medium · example and repository credits",
        "review": "checked",
        "checked": "2026-09-27"
      },
      {
        "name": "Tega Brain",
        "role": "Teaching · Code as Creative Medium co-author",
        "detail": "Co-authored the creative-coding book and its shared example collection, including this random-dot dithering exercise. The repository credits assistance from Lingdong Huang, Tatyana Mustakos, Cassie Scheirer, and Xinyi (Joyce) Wang. This is a teaching credit, not sole implementation or invention.",
        "url": "https://github.com/golanlevin/exercises/tree/main/12_image/04_random_dot_dithering",
        "source": "Code as Creative Medium · example and repository credits",
        "review": "checked",
        "checked": "2026-09-27"
      }
    ],
    "caveat": "Dithering as an artistic practice has no single inventor. These are named technical contributors to halftoning methods, not a claim that they originated every artistic use or ordered-dither pattern."
  },
  {
    "name": "Halftone systems",
    "contributors": [
      {
        "name": "Robert W. Floyd",
        "role": "Error-diffusion coauthor",
        "detail": "Coauthored the 1976 spatial-greyscale paper underlying Floyd–Steinberg error diffusion.",
        "url": "https://isgwww.cs.uni-magdeburg.de/~stefans/npr/entry-Floyd-1976-AAS.html",
        "source": "University of Magdeburg: Floyd and Steinberg (1976)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Louis Steinberg",
        "role": "Error-diffusion coauthor",
        "detail": "Coauthored An Adaptive Algorithm for Spatial Greyscale with Robert Floyd.",
        "url": "https://jglobal.jst.go.jp/en/detail?JGLOBAL_ID=201002004108891171",
        "source": "Japan Science and Technology Agency: 1976 publication record",
        "portraitUrl": "https://www.cs.rutgers.edu/images/people/Louis-Steinberg.jpeg",
        "portraitPage": "https://www.cs.rutgers.edu/people/professors/details/emeritus/louis-steinberg"
      },
      {
        "name": "Bryce E. Bayer",
        "role": "Ordered-dithering contributor",
        "detail": "Authored the 1973 paper An Optimum Method for Two-Level Rendition of Continuous-Tone Pictures.",
        "url": "https://ndlsearch.ndl.go.jp/en/books/R100000136-I1570009749134624128",
        "source": "National Diet Library: Bayer (1973)",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Halftoning is a broad printing and imaging tradition; these are selected digital methods, not a single invention."
  },
  {
    "name": "TSP art / scribble fill",
    "contributors": [
      {
        "name": "Robert Bosch",
        "role": "TSP-art co-originator",
        "detail": "Developed continuous-line TSP drawings with Adrianne Herman, then coauthored the 2005 improvements with Craig Kaplan.",
        "url": "https://cs.uwaterloo.ca/~csk/publications/Papers/kaplan_bosch_2005.pdf",
        "source": "Kaplan and Bosch: TSP Art (2005)",
        "portraitUrl": "https://www.oberlin.edu/sites/default/files/styles/width_260/public/content/biography/image/leiawitbjqmofzovgfgt_robert_bosch.jpg?itok=FmxkUDv3",
        "portraitPage": "https://www.oberlin.edu/bob-bosch"
      },
      {
        "name": "Adrianne Herman",
        "role": "TSP-art co-originator",
        "detail": "Coauthored Continuous Line Drawings via the Traveling Salesman Problem with Robert Bosch in 2004.",
        "url": "https://www.math.uwaterloo.ca/tsp/data/art/",
        "source": "University of Waterloo: TSP Art Instances",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Craig S. Kaplan",
        "role": "Later algorithm contributor",
        "detail": "Coauthored TSP Art, introducing improved city distributions based on stippling and ordered dithering.",
        "url": "https://cs.uwaterloo.ca/~csk/publications/Papers/kaplan_bosch_2005.pdf",
        "source": "Kaplan and Bosch: TSP Art (2005)",
        "portraitUrl": "https://uwaterloo.ca/math-innovation/sites/default/files/styles/large/public/uploads/images/Craig%20Kaplan.jpg?itok=-jE7QHqA",
        "portraitPage": "https://uwaterloo.ca/math-innovation/contacts/craig-kaplan"
      }
    ],
    "caveat": "This attribution covers the TSP branch; free scribble fills are a broader family with different methods."
  },
  {
    "name": "Weighted Voronoi stippling",
    "contributors": [
      {
        "name": "Adrian Secord",
        "role": "Named-method author",
        "detail": "Presented image-based stippling using weighted centroidal Voronoi diagrams in 2002.",
        "url": "https://www.cs.ubc.ca/labs/imager/tr/2002/secord2002b/secord.2002b.pdf",
        "source": "Secord: Weighted Voronoi Stippling (2002)",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Secord's specific image-stippling method builds on earlier Voronoi and centroidal-relaxation mathematics."
  },
  {
    "name": "Circle packing, grown",
    "contributors": [
      {
        "name": "Daniel Shiffman",
        "role": "Later educator",
        "detail": "Demonstrated growing circles with boundary and overlap tests in Coding Challenge 50.",
        "url": "https://thecodingtrain.com/challenges/50-animated-circle-packing",
        "source": "The Coding Train: Circle Packing",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Marius Watz",
        "role": "Artist / tutorial influence",
        "detail": "Shiffman's grown-circle tutorial explicitly introduces Watz's circle-packing work as a reference.",
        "url": "https://thecodingtrain.com/challenges/50-animated-circle-packing",
        "source": "The Coding Train: Circle Packing, introductory credit",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "These are documented creative-coding influences, not inventors of the much older mathematical circle-packing problem."
  },
  {
    "name": "Voronoi/Delaunay operated on",
    "contributors": [
      {
        "name": "Georgy Voronoy",
        "role": "Mathematical foundation",
        "detail": "Studied the tessellations now known as Voronoi diagrams in his geometry-of-numbers work.",
        "url": "https://mathshistory.st-andrews.ac.uk/Biographies/Voronoy/",
        "source": "University of St Andrews: Georgy Voronoy",
        "portraitUrl": "https://mathshistory.st-andrews.ac.uk/Biographies/Voronoy/thumbnail.jpg",
        "portraitPage": "https://mathshistory.st-andrews.ac.uk/Biographies/Voronoy/"
      },
      {
        "name": "Boris Delaunay",
        "role": "Mathematical foundation",
        "detail": "Authored the 1934 empty-sphere paper Sur la sphère vide, dedicated to Georges Voronoï.",
        "url": "https://www.mathnet.ru/php/archive.phtml?jrnid=im&option_lang=&paperid=4937&wshow=paper",
        "source": "Math-Net: Delaunay (1934)",
        "portraitUrl": "https://mathshistory.st-andrews.ac.uk/Biographies/Delone/thumbnail.jpg",
        "portraitPage": "https://mathshistory.st-andrews.ac.uk/Biographies/Delone/"
      }
    ],
    "caveat": "These names identify mathematical foundations; artistic edge, cell, and mesh operations have no single originator."
  },
  {
    "name": "Minimum spanning tree / relative neighborhood graphs",
    "contributors": [
      {
        "name": "Joseph B. Kruskal",
        "role": "MST algorithm contributor",
        "detail": "Published On the Shortest Spanning Subtree of a Graph and the Traveling Salesman Problem in 1956.",
        "url": "https://cir.nii.ac.jp/crid/1363107368257159424",
        "source": "CiNii / AMS: Kruskal (1956)",
        "portraitUrl": "https://mathshistory.st-andrews.ac.uk/Biographies/Kruskal_Joseph/thumbnail.jpg",
        "portraitPage": "https://mathshistory.st-andrews.ac.uk/Biographies/Kruskal_Joseph/"
      },
      {
        "name": "Godfried T. Toussaint",
        "role": "RNG method author",
        "detail": "Defined the relative neighbourhood graph and proved its relationship to the MST and Delaunay triangulation in 1980.",
        "url": "https://www-cgrl.cs.mcgill.ca/~godfried/teaching/mir-reading-assignments/RNG.pdf",
        "source": "Toussaint: The Relative Neighbourhood Graph of a Finite Planar Set (1980)",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "MST algorithms have several independent historical contributors; these are selected foundations, not an exhaustive credit list."
  },
  {
    "name": "Hidden-line 3D → 2D",
    "contributors": [
      {
        "name": "Lawrence G. Roberts",
        "role": "Early hidden-line researcher",
        "detail": "His 1963 MIT thesis describes removing back lines and line segments obscured by other objects.",
        "url": "https://dspace.mit.edu/entities/publication/840d8056-9b54-4bd4-b16f-2f3d8296386e",
        "source": "MIT: Machine Perception of Three-Dimensional Solids (1963)",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Roberts is an early documented contributor; later hidden-line and hidden-surface algorithms form a large research field."
  },
  {
    "name": "Superformula / supershapes",
    "contributors": [
      {
        "name": "Johan Gielis",
        "role": "Superformula author",
        "detail": "Introduced the Superformula as a single parametric equation for many natural and abstract shapes in 2003.",
        "url": "https://pubmed.ncbi.nlm.nih.gov/21659124/",
        "source": "Gielis: American Journal of Botany (2003)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Paul Bourke",
        "role": "Later 3D expositor",
        "detail": "Published 3D supershape examples and software based on Gielis's equations and a spherical product.",
        "url": "https://www.paulbourke.org/geometry/supershape/",
        "source": "Paul Bourke: Supershapes (July 2003)",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Gielis authored the formula; Bourke is credited here for the documented 3D exposition, not for inventing the formula."
  },
  {
    "name": "Moiré",
    "contributors": [
      {
        "name": "Carlos Cruz-Diez",
        "role": "Artist / optical exploration",
        "detail": "His 1964 Chromointerférence arose from sliding one repeated-line image over another transparent line pattern.",
        "url": "https://cruz-diez.com/works/chromointerference/",
        "source": "Cruz-Diez official archive: Chromointerférence (1964)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Golan Levin",
        "role": "Teaching · Code as Creative Medium co-author",
        "detail": "Co-authored the creative-coding book and its shared example collection, including this moiré exercise. The repository credits assistance from Lingdong Huang, Tatyana Mustakos, Cassie Scheirer, and Xinyi (Joyce) Wang. This is a teaching credit, not sole implementation or invention.",
        "url": "https://github.com/golanlevin/exercises/tree/main/02_iteration/14_moire_patterns",
        "source": "Code as Creative Medium · example and repository credits",
        "review": "checked",
        "checked": "2026-09-27"
      },
      {
        "name": "Tega Brain",
        "role": "Teaching · Code as Creative Medium co-author",
        "detail": "Co-authored the creative-coding book and its shared example collection, including this moiré exercise. The repository credits assistance from Lingdong Huang, Tatyana Mustakos, Cassie Scheirer, and Xinyi (Joyce) Wang. This is a teaching credit, not sole implementation or invention.",
        "url": "https://github.com/golanlevin/exercises/tree/main/02_iteration/14_moire_patterns",
        "source": "Code as Creative Medium · example and repository credits",
        "review": "checked",
        "checked": "2026-09-27"
      },
      {
        "name": "Gene Kogan",
        "role": "Artistic use · Interference (2012)",
        "detail": "Used repeated deltoid curves to produce moiré patterns in Interference. His account says the original code was lost; the work documents an artistic application, not invention of moiré.",
        "url": "https://genekogan.com/works/interference/",
        "source": "Artist’s work record · Interference",
        "review": "checked",
        "checked": "2026-09-27"
      }
    ],
    "caveat": "Moiré is an optical phenomenon with a long history; Cruz-Diez is a documented artistic example, not its inventor."
  },
  {
    "name": "Wave interference",
    "contributors": [
      {
        "name": "Thomas Young",
        "role": "Physical foundation",
        "detail": "Explained light interference through the superposition of waves in his early-nineteenth-century work.",
        "url": "https://spark.iop.org/collections/superposition",
        "source": "Institute of Physics: Superposition",
        "portraitUrl": "https://mathshistory.st-andrews.ac.uk/Biographies/Young_Thomas/thumbnail.jpg",
        "portraitPage": "https://mathshistory.st-andrews.ac.uk/Biographies/Young_Thomas/"
      }
    ],
    "caveat": "A physical principle used by many visual recipes; Young's role is foundational physics, not authorship of a modern art algorithm."
  },
  {
    "name": "Metaballs / implicit fields",
    "contributors": [
      {
        "name": "Jim Blinn",
        "role": "Blobby-modeling pioneer",
        "detail": "His 1982 paper renders surfaces formed by summed Gaussian density distributions.",
        "url": "https://www.microsoft.com/en-us/research/?p=154282",
        "source": "Microsoft Research: A Generalization of Algebraic Surface Drawing",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Paul Bourke",
        "role": "Later expositor",
        "detail": "Explains implicit-surface blending under the names metaballs, blobbies, and soft objects.",
        "url": "https://paulbourke.net/geometry/implicitsurf/",
        "source": "Paul Bourke: Implicit Surfaces",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Implicit surfaces predate metaball modeling; this is a selected lineage rather than a complete history of soft-object research."
  },
  {
    "name": "fBm + ridged / turbulent",
    "contributors": [
      {
        "name": "Benoît Mandelbrot",
        "role": "Mathematical foundation coauthor",
        "detail": "Coauthored the 1968 study Fractional Brownian Motions, Fractional Noises and Applications.",
        "url": "https://epubs.siam.org/doi/10.1137/1010093",
        "source": "Mandelbrot and Van Ness: SIAM Review (1968)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "John W. Van Ness",
        "role": "Mathematical foundation coauthor",
        "detail": "Coauthored the 1968 paper formalizing and studying fractional Brownian motions.",
        "url": "https://epubs.siam.org/doi/10.1137/1010093",
        "source": "Mandelbrot and Van Ness: SIAM Review (1968)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Ken Perlin",
        "role": "Procedural graphics contributor",
        "detail": "Introduced a procedural noise-based image synthesizer including synthetic turbulence in 1985.",
        "url": "https://www.cs.cmu.edu/afs/cs/academic/class/15869-f11/www/readings/perlin85_imagesynthesizer.pdf",
        "source": "Perlin: An Image Synthesizer (1985)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "F. Kenton Musgrave",
        "role": "Ridged-noise contributor / terrain coauthor",
        "detail": "Developed ridged multifractal noise used for mountainous terrain, as credited in LightWave's texture documentation.",
        "url": "https://docs.lightwave3d.com/2025/3d-textures.html",
        "source": "LightWave 2025 documentation: Ridged Multifractal",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Craig E. Kolb",
        "role": "Fractal-terrain coauthor",
        "detail": "Coauthored the 1989 paper on fractal terrain noise synthesis, erosion, and rendering.",
        "url": "https://citeseerx.ist.psu.edu/document?doi=8af1ba21a954c910994f5ad599777640452a3d6b&repid=rep1&type=pdf",
        "source": "Musgrave, Kolb and Mace (1989)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Robert S. Mace",
        "role": "Fractal-terrain coauthor",
        "detail": "Coauthored the 1989 paper on fractal terrain noise synthesis, erosion, and rendering.",
        "url": "https://citeseerx.ist.psu.edu/document?doi=8af1ba21a954c910994f5ad599777640452a3d6b&repid=rep1&type=pdf",
        "source": "Musgrave, Kolb and Mace (1989)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Lauren Lee McCarthy",
        "role": "Toolmaking · p5.js creator",
        "detail": "Created p5.js, whose noiseDetail API exposes octave and falloff controls for layered Perlin noise. This credits the enabling platform, not invention of fBm, implementation of every noise function, or all ridged/turbulent variants.",
        "url": "https://p5js.org/reference/p5/noiseDetail/",
        "source": "p5.js · octave and falloff documentation",
        "review": "checked",
        "checked": "2026-09-27"
      }
    ],
    "caveat": "Graphics 'fBm' usually means a finite noise-octave construction, not exact stochastic fBm; ridged and turbulent variants also have distinct histories."
  },
  {
    "name": "SDF raymarching",
    "contributors": [
      {
        "name": "John C. Hart",
        "role": "Sphere-tracing author",
        "detail": "His 1996 sphere-tracing paper advances rays using geometric distance bounds that avoid crossing the surface.",
        "url": "https://experts.illinois.edu/en/publications/sphere-tracing-a-geometric-method-for-the-antialiased-ray-tracing/",
        "source": "University of Illinois: Sphere Tracing (1996)",
        "portraitUrl": "https://ws.engr.illinois.edu/directory/viewphoto.aspx?photo=9962&s=300",
        "portraitPage": "https://siebelschool.illinois.edu/about/people/faculty/jch"
      },
      {
        "name": "Iñigo Quilez",
        "role": "Later shader artist / expositor",
        "detail": "Presented distance-field rendering techniques in Rendering Worlds with Two Triangles.",
        "url": "https://iquilezles.org/articles/nvscene2008/rwwtt.pdf",
        "source": "Iñigo Quilez: Rendering Worlds with Two Triangles (2008)",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Sphere tracing is a distance-guided form of raymarching; it should not be conflated with every fixed-step volume raymarcher."
  },
  {
    "name": "Feedback buffers",
    "contributors": [
      {
        "name": "James P. Crutchfield",
        "role": "Video-feedback researcher",
        "detail": "Modeled video-feedback dynamics and reproduced their behavior with digital simulations in 1984.",
        "url": "https://csc.ucdavis.edu/~cmg/papers/Crutchfield.PhysicaD1984.pdf",
        "source": "Crutchfield: Space-Time Dynamics in Video Feedback (1984)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Steina Vasulka",
        "role": "Early video-feedback artist",
        "detail": "Described her early video-feedback experiments in a preserved 1997 interview.",
        "url": "https://www.vasulkainterviews.org/",
        "source": "Vasulka Interviews: Steina on video feedback (1997)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Woody Vasulka",
        "role": "Early video-feedback artist",
        "detail": "Discussed analog feedback loops and feedback in digital devices in a preserved 1996 interview.",
        "url": "https://www.vasulkainterviews.org/",
        "source": "Vasulka Interviews: Woody on feedback (1996)",
        "portraitUrl": null,
        "portraitPage": null
      },
      {
        "name": "Olivia Jack",
        "role": "Later tool creator / artist",
        "detail": "Created Hydra, a live-coding video-synthesis environment with feedback influences documented in its source repository.",
        "url": "https://github.com/hydra-synth/hydra",
        "source": "Hydra: official repository and contributor credits",
        "portraitUrl": null,
        "portraitPage": null
      }
    ],
    "caveat": "Digital frame-buffer feedback is a broad technique; analog-video precedents and later software tools are distinct contributions."
  }
]