{"id":"reaction-diffusion","no":590,"name":"Reaction–Diffusion","ja":"反応拡散パターン","era":"1952–","family":"計算表現","kind":"技法","collection":"Dictionary expansion 31","addedAt":"2026-08-22","source":{"title":"Royal Society — A. M. Turing, The Chemical Basis of Morphogenesis","url":"https://royalsocietypublishing.org/doi/10.1098/rstb.1952.0012"},"reference":{"status":"verified","pageUrl":"https://royalsocietypublishing.org/doi/10.1098/rstb.1952.0012","credit":"Royal Society — A. M. Turing, The Chemical Basis of Morphogenesis"},"essence":"二つ以上の物質が局所反応しながら異なる速さで広がる数理モデルから、斑点、縞、迷路、珊瑚状のパターンを自己組織化させる生成技法。初期の小さな揺らぎが、連続面全体の模様へ育つ。","cues":["丸い斑点が分裂しながら均等距離に並ぶ","途切れず曲がる迷路状の縞","境界から枝分かれする珊瑚や細胞状の輪郭","同じ太さを保ちながら面全体へ自己組織化する"],"intents":["未来","技術","高揚"],"works":["生物の斑点や縞の形成を展示、教育、研究可視化で説明するとき","表面、映像、タイポグラフィへ成長する有機的な反復模様を作るとき"],"recipe":{"type":"文字は模様の密度が低い領域へ置き、輪郭を同じパターンで侵食しすぎない。","layout":"一つの種または境界条件から模様が広がる過程を見せ、均一な全面柄に固定しない。","material":"反応項、拡散率、供給率、除去率を定め、小さな初期擾乱から反復計算する。"},"avoid":"動物柄を手描きでなぞるだけでは反応拡散ではない。時間発展とパラメータが模様の変化へ現れるようにする。","colors":["#101B2E","#38C6A3","#F4E56B"],"motif":"generative","pair":["generative-art","l-system-graphics"],"study":["Turing patterns","Gray-Scott model","activator-inhibitor systems"],"en":{"essence":"Reaction-diffusion simulation lets substances react locally while spreading at different rates, self-organizing small disturbances into spots, stripes, mazes and coral-like patterns.","cues":["Round spots dividing at even distances","Continuous curving maze stripes","Coral or cellular boundaries branching from edges","Self-organized marks of nearly constant thickness"],"works":["Explaining biological spot and stripe formation in research, education and exhibitions","Growing organic surface, motion and type patterns"],"recipe":{"type":"Place copy in low-density regions instead of eroding every letter with the pattern.","layout":"Show growth from a seed or boundary condition rather than freezing a uniform all-over print.","material":"Set reaction terms, diffusion rates, feed and kill rates, then iterate from a small perturbation."},"avoid":"A hand-drawn animal print is not reaction-diffusion. Time and parameter changes must remain visible in the pattern.","study":["Turing patterns","Gray-Scott model","Activator-inhibitor systems"]},"usage":{"license":"CC-BY-4.0","licenseName":"Creative Commons Attribution 4.0 International","licenseUrl":"https://creativecommons.org/licenses/by/4.0/","attribution":"IndexStyle — https://indexstyle.org","attributionUrl":"https://indexstyle.org","scope":"Original IndexStyle text and structured data. Reference images, quoted works, and third-party material are excluded and retain their own rights."}}