---
slug: oip-invariant-6-36-scale-invariance-fractals-allometry
title: Invariant 3.6 — 3.6 Scale invariance / fractals / allometry
canonical: https://miscsubjects.com/a/oip-invariant-6-36-scale-invariance-fractals-allometry
---

# 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.

---

## 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)
