Visualizing quaternions (4d numbers) with stereographic projection
3Blue1Brown 3Blue1Brown
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 Published On Sep 6, 2018

How to think about this 4d number system in our 3d space.
Part 2:    • Quaternions and 3d rotation, explaine...  
Interactive version of these visuals: https://eater.net/quaternions
Help fund future projects:   / 3blue1brown  
An equally valuable form of support is to simply share some of the videos.
Special thanks to these supporters: http://3b1b.co/quaternion-thanks

Quanta article on quaternions:
https://www.quantamagazine.org/the-st...

The math of Alice in Wonderland:
https://www.newscientist.com/article/...

Timestamps:
0:00 - Intro
4:14 - Linus the linelander
11:03 - Felix the flatlander
17:25 - Mapping 4d to 3d
23:18 - The geometry of quaternion multiplication

Thanks to these viewers for their contributions to translations
Hebrew: Omer Tuchfeld

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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.

Music by Vincent Rubinetti:
https://vincerubinetti.bandcamp.com/a...

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