# Invariant 3.6 — 3.6 Scale invariance / fractals / allometry

slug: oip-invariant-6-36-scale-invariance-fractals-allometry · https://miscsubjects.com/a/oip-invariant-6-36-scale-invariance-fractals-allometry · tags: philosophy, oip, catalogue, invariant, systems-theory · updated 2026-07-17T02:36:17.399Z

# Invariant: 3.6 Scale invariance / fractals / allometry

### 3.6 Scale invariance / fractals / allometry
The same rule at every zoom. **Sources:** Mandelbrot; renormalization; Kleiber's law; West, Brown & Enquist (metabolic scaling). **Domains:** coastlines, vasculature, cities, organisms, cosmic web. **Dual:** characteristic-scale systems. **Tier:** T1. **Falsifier:** a branching transport network that violates the scaling exponent. **Maps:** A₇.

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## Corpus map
- Same invariant, other planes: [Catalogue node C10](/a/oip-node-c10-scale-invariance-fractals-allometry) · [Encyclopedia C10](/a/convergence-encyclopedia-c10)
- Inventory hub: [Convergence Catalogue — Public Article](/a/oip-convergence-public-article)