Is this a new way of bringing the Mandelbrot set to life? Each number on the complex plane, c, is repeatedly squared to give a new value, and then added to the original value c. This gives a path for each c that takes it around the plane. Those that don’t run off to infinity are in the Mandelbrot set. This animation allows the c to move along its path, and colours the plane at the starting position c with the colour of the plane at the end of the path. The plane is coloured so it is black everywhere with a rainbow disk in the centre [so at time 0, when the points haven’t started moving, we just see the rainbow disk]. As time progresses, after a series of bifurcations and pulsing beats, we see the familiar Mandelbrot set take form. [interactive] [code] [more]