Pure Fourier series animation montage
3Blue1Brown 3Blue1Brown
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 Published On Jul 02, 2019

Because why not?
Learn the math behind this: https://youtu.be/r6sGWTCMz2k

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/album/the-music-of-3blue1brown

Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u

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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: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown

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