# Fractal Flame (フラクタル・フレーム)

> 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.

- IndexStyle No.586 — https://indexstyle.org/styles/fractal-flame
- Kind: Technique · Family: Computational Expression · Era: 1992–
- Mood: Futurity, Exhilaration, Technique
- What this family collects: Forms grown from small rule sets and iteration into structures that could not be drawn one mark at a time, where rules, initial state and time determine the look.

## Defining characteristics

- 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

## Best used for

- Generating organic high-density stills and motion from mathematical iteration
- Creating luminous structures for music or exhibition imagery that retain detail when enlarged

## Composition recipe

- Typography & lettering: Keep copy outside the generated field or anchored in dark regions.
- Layout & structure: Grow branches from one dense core and preserve a dark resting field around them.
- Material & texture: Select affine transforms and nonlinear variations probabilistically, display density logarithmically and color by transform history.

## Colour

Read off the reference works below, so a direction rather than a fixed palette.

- Ground: #57D8D0
- The colour it is remembered by: #F05A9D
- Text and outlines: #080713

## What to avoid

A rainbow spiral fractal is not a Flame. Preserve nonlinear variation, density display and structural color.

## Application checklist

Work through this before calling a piece an application of this style.

- [ ] Visible in the piece: Translucent branching like flame or feathers
- [ ] Visible in the piece: Bright high-density regions emerging from darkness
- [ ] Visible in the piece: Self-similar detail continuing under magnification
- [ ] Visible in the piece: Smooth color driven by transformation history
- [ ] The layout follows: Grow branches from one dense core and preserve a dark resting field around them.
- [ ] The lettering follows: Keep copy outside the generated field or anchored in dark regions.
- [ ] The material and surface follow: Select affine transforms and nonlinear variations probabilistically, display density logarithmically and color by transform history.
- [ ] The colour relation holds: #57D8D0 as ground, #F05A9D carrying the style, #080713 for text and outlines
- [ ] At least one reference work below has been studied directly
- [ ] The caution above ("What to avoid") has been addressed

## Related styles

- **Generative Art (ジェネラティブアート)** — A way of working in which the maker writes only the rule and the randomness, leaving the drawing to the machine. As in Nees's plotter work, the result is shown as several variants born of one rule. → https://indexstyle.org/styles/generative-art
- **Reaction–Diffusion (反応拡散パターン)** — Reaction-diffusion simulation lets substances react locally while spreading at different rates, self-organizing small disturbances into spots, stripes, mazes and coral-like patterns. → https://indexstyle.org/styles/reaction-diffusion

## Compose it with something else

The dictionary can put this entry in a structural role and another in an accent role, and report where the two fight: https://indexstyle.org/compose?ids=fractal-flame+generative-art

## Further study

- Fractal Flames paper
- Nonlinear variations
- Log-density display and structural coloring

## Reference works

- Scott Draves — The Fractal Flame Algorithm — https://flam3.com/flame_draves.pdf

## AI interpretation

An AI-generated interpretation image exists for browsing convenience only — it is not a reference work: https://indexstyle.org/ai/fractal-flame.jpg

## Source of record

- Scott Draves — The Fractal Flame Algorithm — https://flam3.com/flame_draves.pdf

## Machine surfaces

- JSON: https://indexstyle.org/api/styles/fractal-flame
- Image-generation prompt (legally clean): https://indexstyle.org/styles/fractal-flame/prompt.txt
- MCP: https://indexstyle.org/mcp (tools: search_styles, get_style, compare_styles, compose_styles, find_related_styles; prompts: image-prompt, apply-style)