---
type: Fractal Concept
title: Fractal
description: A complex geometric shape exhibiting self-similarity (or self-affinity) at multiple scales, characterized by a non-integer fractal dimension and often generated by recursive or iterative processes.
resource: https://tyson-swetnam.github.io/fractal-notebooks/okf/concepts/geometry/fractal/
tags:
- geometry
- foundations
aliases:
- fractals
sources:
- id: glossary
  resource: https://tyson-swetnam.github.io/fractal-notebooks/foundations/glossary/
  title: Fractal Notebooks glossary (Chapter 4)
- id: seed
  resource: https://github.com/tyson-swetnam/fractal-notebooks/blob/main/fractal_rag/src/fractal_rag/concepts/seed.yaml
  title: fractal_rag concept seed (seed.yaml)
generated:
  by: process:fractal-rag-okf-export
  at: "2026-10-24T00:00:00Z"
status: stable
---

# Definition

A complex geometric shape exhibiting self-similarity (or self-affinity) at multiple scales, characterized by a non-integer fractal dimension and often generated by recursive or iterative processes.

# Aliases

`fractals`

# Related concepts

* [Self-Similarity](self-similarity.md)
* [Self-Affinity](self-affinity.md)
* [Fractal Dimension](../dimension-theory/fractal-dimension.md)

# Citations

[1] [Fractal Notebooks glossary (Chapter 4)](https://tyson-swetnam.github.io/fractal-notebooks/foundations/glossary/) — `docs/foundations/glossary.md`

[2] [fractal_rag concept seed (seed.yaml)](https://github.com/tyson-swetnam/fractal-notebooks/blob/main/fractal_rag/src/fractal_rag/concepts/seed.yaml) — `fractal_rag/src/fractal_rag/concepts/seed.yaml`