Solving 2D equations using color, a story of winding numbers and composition

An algorithm for numerically solving certain 2d equations.
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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:


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