2018-09-06

[public] 2.42M views, 97.6K likes, 640 dislikes audio only

3Blue1Brown

How to think about this 4d number system in our 3d space.

Part 2: /youtube/video/zjMuIxRvygQ

Interactive version of these visuals: https://eater.net/quaternions

Help fund future projects: https://www.patreon.com/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-strange-numbers-that-birthed-modern-algebra-20180906/

The math of Alice in Wonderland:

https://www.newscientist.com/article/mg20427391-600-alices-adventures-in-algebra-wonderland-solved/

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/album/the-music-of-3blue1brown

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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

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