Who knew root-finding could be so complicated?
Early view of the next part: https://www.patreon.com/posts/57323044
An equally valuable form of support is to simply share the videos.
------------------
On fractal dimension:
https://youtu.be/gB9n2gHsHN4
Mathologer on the cubic formula:
https://youtu.be/N-KXStupwsc
Some of the videos from this year's Summer of Math Exposition are fairly relevant to the topics covered here. Take a look at these ones,
The Beauty of Bézier Curves
https://youtu.be/aVwxzDHniEw
The insolubility of the quintic:
https://youtu.be/BSHv9Elk1MU
The math behind rasterizing fonts:
https://youtu.be/LaYPoMPRSlk
---
These animations are largely made using a custom python library, manim. See the FAQ comments here:
https://www.3blue1brown.com/faq#manim
https://github.com/3b1b/manim
https://github.com/ManimCommunity/manim/
You can find code for specific videos and projects here:
https://github.com/3b1b/videos/
Music by Vincent Rubinetti.
https://www.vincentrubinetti.com/
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
------------------
Timestamps:
0:00 - Intro
0:48 - Roots of polynomials
5:55 - Newton’s method
11:16 - The fractal
17:56 - The boundary property
23:13 - Closing thoughts
------------------
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