MANDELBROT SET EXPLORER

The Mandelbrot set

The Mandelbrot set is a set of all complex numbers $c$ for which the sequence $$z_0=0z_{n+1}=z_n^2+c$$ doesn't diverge to infinity.

About the simulation:

This page uses a WebGL shader to render the Mandelbrot set on the complex plane. You can zoom in and out, and pan around with your mouse or fingers.

Because WebGL uses 32-bit floating point numbers, the maximum zoom is limited to 25,000×.

Additional reading:

• https://en.wikipedia.org/wiki/Mandelbrot_set