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Mandelbrot set
Sign in to saveAlso known as M-set, Benoit Mandelbrot set, Mandelbrot fractal
fractal-like set that plays a significant role in chaos research
The Mandelbrot set is a collection of numbers that creates intricate, self-similar patterns and serves as a central object of study in chaos theory and the mathematics of fractals. It matters because it helps researchers understand how complex, unpredictable behavior emerges from simple mathematical rules.
AI-generated from the Wikipedia summary — may contain errors.
Wikidata facts
- Named after
- Benoit Mandelbrot
- Based on
- Julia set
- Image
- Mandelbrot20210909 ABC02 65535x65535.png
Show 6 more facts
- Commons category
- Mandelbrot sets
- Commons gallery
- Mandelbrot set
- Stack Exchange tag
- stackoverflow.com/tags/mandelbrot
- has characteristic
- Hausdorff dimension
- on focus list of Wikimedia project
- Wikipedia:Vital articles/Level/4
- maintained by WikiProject
- WikiProject Mathematics
Sources (3)
via Wikidata · CC0
~40 min read
Encyclopedic overview
The Mandelbrot set plotted on the complex plane within a continuously colored environment
The Mandelbrot set (/ˈmændəlbroʊt, -brɒt/) is a two-dimensional set. It is defined in the complex plane as the complex numbers
Excerpted from Wikipedia’s “Mandelbrot set” article, available under the CC BY-SA 4.0 licence.