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

3,650
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

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