Because why not?
Learn the math behind this:    • But what is a Fourier series?  From h...  

If you're curious about the number of vectors used for each animation:
- Eighth note: 100
- Sigma: 200
- Britain: 500
- Fourier drawing: 300
- Nail and Gear: 200
- Treble clef: 100
- Hilbert curve: 300 (relatively small given the detail, which is why it looks puzzley)
- Seattle: 400

These animations are made using manim, a scrappy open source python library: https://github.com/3b1b/manim

If you want to check it out, I feel compelled to warn you that it's not the most well-documented tool, and it has many other quirks you might expect in a library someone wrote with only their own use in mind.

Music by Vincent Rubinetti.
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/a...

Stream the music on Spotify:
https://open.spotify.com/album/1dVyjw...

------------------

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 posted on new videos, subscribe: http://3b1b.co/subscribe

Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter:   / 3blue1brown  
Reddit:   / 3blue1brown  
Instagram:   / 3blue1brown_animations  
Patreon:   / 3blue1brown  
Facebook:   / 3blue1brown