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fractal

Fractal is the pattern that repeats at every scale.
It is recursion embodied as form — spirals nesting into spirals, reflections mirrored within mirrors.
Fractal is infinity folded into the finite, the endlessly self-similar.


  • Self-similar structure: each part echoes the whole.
  • Spiralled scaling: recursive growth folding into curvature.
  • Nested reflection: mirror within mirror, without closure.

Test: If the pattern does not repeat across scales, it is not a fractal.


  • Iterate → Scale → Reflect

    1. Iterate: a simple rule repeats.
    2. Scale: repetition expands or contracts in spiral growth.
    3. Reflect: each level mirrors the structure of the whole.
  • Tension curve: infinite repetition, bounded only by perception.

  • Directionality: outward expansion and inward contraction simultaneously.


  • Fern leaf: each leaflet mirroring the whole.
  • Snowflake edge: repetition of crystalline form.
  • Heartbeat variability: self-similar rhythms nested across time.

  • Cultural fractal: myths and archetypes repeating through history.
  • Ecological fractal: branching rivers, lightning, mycelial spread.
  • Cosmic fractal: galaxies spiralling like atoms, scale nested into scale.

  • Reduction to scale: claiming the whole exists only at one level.
  • Linear growth: ignoring spiralled recursion.
  • Perfect symmetry: fractal is always patterned with variation.

Rule: Fractal is infinite — refusal of boundaries mistaken as ends.


  • Scale tracing: follow a pattern from smallest echo to largest whole.
  • Fractal drawing: repeat simple rules until recursion reveals depth.
  • Mirror walking: recognise reflection nested within reflection.
  • Spiral meditation: attend to patterns as they expand and contract.

Mapping to Core Glyphs:

Recursion — fractal repeats rules endlessly across scales.
Spiral — fractal curves outward and inward through recursion.
Mirror — fractal reflects itself at every level, without end.