A beautiful fractal. Ensure turbo mode is on. Click to change the starting point.
[Math yap below] The Julia set is a fractal that is perpendicular to the Mandelbrot set in 4D space. It is created by plotting the behaviour of the iterated function z -> z^2 + c, but unlike the Mandelbrot set which parameterises c, this parameterises the starting value of z. There are infinitely many Julia sets, for each value of c, and you can change this value by clicking on the set.