A detached fragment of the set drifts in mathematical space like a rogue planet.
Satellite islands appear throughout the Mandelbrot set — isolated copies separated from the main body by thin, invisible filaments. This particular island floats in a region of beautifully structured chaos, surrounded by fine tendrils that connect it to the greater mathematical whole. Discovering it feels like finding a city lost in the wilderness.
Real axis (Re)
-0.7472
Imaginary axis (Im)
0.1104i
Zoom
15.0K×
Max iterations
700
Complex address
This location lies in the boundary region of the Mandelbrot set, defined by iterating starting from . A point belongs to the set if the orbit never exceeds .
At zoom , each screen pixel represents a region of the complex plane roughly wide — smaller than most atoms on a real object of the same size.
The iteration depth of 700 means the algorithm checks up to 700 times before declaring a point interior (black). Higher values reveal finer boundary detail but require more computation.
A perfect miniature copy of the entire Mandelbrot set, floating in the deep.
Julia SetSmooth concentric rings rotate around a central quasiperiodic region.
Mandelbrot SetA satellite Mandelbrot copy surrounded by crystalline filaments.
Mandelbrot SetA quiet corner of the right side, teeming with miniature detail.
This is just one of thousands of unique views. Open the interactive explorer and find your own.
