**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]