{"id":"fractal-flame","no":586,"name":"Fractal Flame","ja":"フラクタル・フレーム","era":"1992–","family":"計算表現","kind":"技法","collection":"Dictionary expansion 31","addedAt":"2026-08-22","source":{"title":"Scott Draves — The Fractal Flame Algorithm","url":"https://flam3.com/flame_draves.pdf"},"reference":{"status":"verified","pageUrl":"https://flam3.com/flame_draves.pdf","credit":"Scott Draves — The Fractal Flame Algorithm"},"essence":"Scott Dravesが反復関数系へ非線形変換、対数密度表示、構造的な着色を加えた生成画像技法。煙、羽毛、炎、珊瑚のような細密構造が、反復の確率と色の履歴から現れる。","cues":["炎や羽毛のように枝分かれする半透明構造","暗い地から光る高密度領域","反復の奥へ続く自己相似の細部","座標だけでなく変換履歴から滑らかに変わる色"],"intents":["未来","高揚","技術"],"works":["数学的な反復から有機的で高密度な静止画や映像を生成するとき","音楽作品や展示へ、拡大しても細部が続く発光構造を作るとき"],"recipe":{"type":"文字は生成面の外へ置くか、暗部に小さく固定して細部との競合を避ける。","layout":"一つの高密度な核から枝を伸ばし、周囲に暗い休止域を残す。","material":"複数のアフィン変換と非線形variationを確率選択し、密度を対数表示して変換履歴で着色する。"},"avoid":"既成の渦巻きフラクタルへ虹色を付けるだけではFlameではない。非線形変換、密度表示、構造色の三条件を保つ。","colors":["#080713","#F05A9D","#57D8D0"],"motif":"generative","pair":["generative-art","reaction-diffusion"],"study":["Fractal Flames paper","nonlinear variations","log-density display and structural coloring"],"en":{"essence":"Scott Draves's Fractal Flame adds nonlinear variations, log-density display and structural coloring to iterated function systems, producing feathered, smoky and coral-like structures from probability and transformation history.","cues":["Translucent branching like flame or feathers","Bright high-density regions emerging from darkness","Self-similar detail continuing under magnification","Smooth color driven by transformation history"],"works":["Generating organic high-density stills and motion from mathematical iteration","Creating luminous structures for music or exhibition imagery that retain detail when enlarged"],"recipe":{"type":"Keep copy outside the generated field or anchored in dark regions.","layout":"Grow branches from one dense core and preserve a dark resting field around them.","material":"Select affine transforms and nonlinear variations probabilistically, display density logarithmically and color by transform history."},"avoid":"A rainbow spiral fractal is not a Flame. Preserve nonlinear variation, density display and structural color.","study":["Fractal Flames paper","Nonlinear variations","Log-density display and structural coloring"]},"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."}}