I saw an amazing tweet from Dillon Berger last week:

Today I had my older son study the animation for a few minutes and then we talked about about some of the ideas it is illustrating:

Now we pulled up the tweet and had him talk about what he was seeing. It is always fun to see advanced math ideas through the eyes of kids:

Finally, we played around with the ideas in Mathematica. Although we didn’t replicate the incredible animation that Berger did, we found some fun mathematical ideas to talk through.

Berger’s tweet is great for sharing with students learning (or reviewing) ideas in calculus. It is also really fun to use to hint at some of the amazing ideas that’ll come later when students study complex numbers in more detail.