Challenge suggestion: Newton's fractal #1696
Description
Colouring points according to what root they will converge to using Newton's method will render a nice looking fractal.
An idea for the challenge could be the make it interactive, so you can choose how many iterations of Newton's method will be done and moving the roots around (effectively changing the polynomial). (recreate the animation from Grant Sanderson's new video about Newton's fractal - 13:36 into the video linked below)
Grant Sanderson - 3Blue1Brown - Newton's Fractal:
https://www.youtube.com/watch?v=-RdOwhmqP5s&list=WL&index=3&ab_channel=3Blue1Brown