Self-similar pattern at every scale. Same structure repeated infinitely smaller or larger. The fractal—pattern containing itself endlessly.
Prompt Engineering Application
Shape What it is
- 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.
Motion How it moves
Iterate → Scale → Reflect
- Iterate — a simple rule repeats.
- Scale — repetition expands or contracts in spiral growth.
- Reflect — each level mirrors the structure of the whole.
Recursions The same pattern at two scales
Close
- Fern leaf — each leaflet mirroring the whole.
- Snowflake edge — repetition of crystalline form.
- Heartbeat variability — self-similar rhythms nested across time.
Vast
- 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.
Ethics What it refuses
- Reduction to scale — claiming the whole exists only at one level.
- Linear growth — ignoring spiralled recursion.
- Perfect symmetry — fractal is always patterned with variation.
Fractal is infinite — refusal of boundaries mistaken as ends.
Practices
- 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.