Reaction–Diffusion

反応拡散パターン / 1952– / Technique / Computational Expression

Reaction-diffusion simulation lets substances react locally while spreading at different rates, self-organizing small disturbances into spots, stripes, mazes and coral-like patterns.

Reaction–Diffusion — Turing patterns from numerical simulation — published reaction-diffusion output by Ex.ungue.leonem, 2008 — Wikimedia Commons / Public domain
Turing patterns from numerical simulation — published reaction-diffusion output by Ex.ungue.leonem, 2008 — Wikimedia Commons / Public domain
Reaction–Diffusion — AI-generated interpretation 1
AI-generated interpretation, not a reference work
Reaction–Diffusion — AI-generated interpretation 2
AI-generated interpretation, not a reference work

At a glance

Visual 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

Best used for

  • Explaining biological spot and stripe formation in research, education and exhibitions
  • Growing organic surface, motion and type patterns

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Dictionary entry

Type
Place copy in low-density regions instead of eroding every letter with the pattern.
Composition
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.
Caution
A hand-drawn animal print is not reaction-diffusion. Time and parameter changes must remain visible in the pattern.
Further study
Turing patterns / Gray-Scott model / Activator-inhibitor systems

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