Winding numbers and domain coloring

An algorithm for numerically solving certain 2d equations.
Brought to you by...you! https://patreon.com/3blue1brown
Writing and animations by Sridhar Ramesh, with editing and narration by Grant Sanderson.

Special thanks to these supporters: http://3b1b.co/winding-thanks

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 follow-on video!

Music by Vincent Rubinetti:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown

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Видео Winding numbers and domain coloring канала 3Blue1Brown