Julia Sets Explorer
The Julia set for a complex number $c$ is the boundary between points that escape to infinity and those that remain bounded under iteration of: $$z_{n+1} = z_n^2 + c$$Each value of $c$ produces a different fractal. Connected Julia sets correspond to points inside the Mandelbrot set; disconnected “dust” fractals come from points outside. Controls: Click the Mandelbrot set (left) to choose $c$. Drag to pan, scroll to zoom the Julia set. ...