Winding numbers and domain coloring

An algorithm for numerically solving certain 2d equations. Help fund future projects: An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: Writing and animations by Sridhar Ramesh, with editing and narration by Grant Sanderson. Even though we described how winding numbers can be used to solve 2d equations at a high level, it s worth pointing out that there are a few details missing for if you wanted to actually implement this. For example, in order to determine how often to sample points, you d want to have some bounds on the rate at which the direction of the output changes. We will perhaps discuss this more in a followon video Music by Vincent Rubinetti: 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay