A perfect miniature copy of the entire Mandelbrot set, floating in the deep.
Far from the main body, hidden in a sea of structured chaos, a perfect replica of the Mandelbrot set appears. These satellite copies, called mini-brots, are mathematically identical to the whole — yet embedded in an entirely alien landscape. Discovering one feels like finding a mirror inside a mirror.
Real axis (Re)
-1.76867746054
Imaginary axis (Im)
0.00423684791873i
Zoom
2.00K×
Max iterations
600
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 600 means the algorithm checks up to 600 times before declaring a point interior (black). Higher values reveal finer boundary detail but require more computation.
A classic Mandelbrot region filled with curling seahorse-like spirals.
Mandelbrot SetA dense spiral basin where bifurcating arms fold into one another.
Mandelbrot SetTwo massive spirals interlock in a cosmic mathematical waltz.
Mandelbrot SetA razor-thin coastline where needle-like spires rise out of a deep trench.
This is just one of thousands of unique views. Open the interactive explorer and find your own.