Why I love 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000
An introduction to group theory, and the monster group.
Special thanks to these supporters: https://3b1b.co/thanks
Part of the #MegaFavNumbers project: https://www.youtube.com/playlist?list=PLar4u0v66vIodqt3KSZPsYyuULD5meoAo
To join the gang, upload your own video on your own favorite number over 1,000,000 with the hashtag #MegaFavNumbers, and the word MegaFavNumbers in the title, and it'll be added to the playlist above.
Thanks to Richard Borcherds for helpful comments while putting this video together. You may also enjoy this brief article giving an overview of this monster:
http://www.ams.org/notices/200209/what-is.pdf
Videos with John Conway talking about the Monster:
https://youtu.be/jsSeoGpiWsw
https://youtu.be/lbN8EMcOH5o
More on Noether's Theorem:
https://youtu.be/CxlHLqJ9I0A
https://youtu.be/04ERSb06dOg
The symmetry ambigram was designed by Punya Mishra:
https://punyamishra.com/2013/05/31/symmetry-new-ambigram/

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

These animations are largely 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

If you want to contribute translated subtitles or to help review those that have already been made by others and need approval, you can click the gear icon in the video and go to subtitles/cc, then "add subtitles/cc". I really appreciate those who do this, as it helps make the lessons accessible to more people.

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

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
3Blue1Brown
3blue1brown, by Grant Sanderson, is some combination of math and entertainment, depending on your disposition. The goal is for explanations to be driven by animations and for difficult problems to be made simple with changes in perspective. Contact and F...