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