Mandelbrot & Julia Sets

Two views of the quadratic map z ↦ z² + c. The Mandelbrot set varies c; the Julia set fixes c and varies the starting point.

Mandelbrot Set

c = x + iy varies; iterate z0 = 0.

Scroll to zoom, drag to pan. Black regions are points that do not escape within the iteration limit.

Julia Set

c is fixed; z0 = x + iy varies.

-0.800 + 0.156i

Scroll to zoom, drag to pan. Adjust c to morph the Julia set.