What are quaternions, and how do you visualize them? A story of four dimensions.

3,015
by Super User, 6 years ago
0 0
How to think about this 4d number system in our 3d space.
Thanks to my modern Medicis: https://www.patreon.com/3blue1brown
With extra-special thanks here: 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/

Music by Vincent Rubinetti:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown

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

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