video thumbnail 5:59
Quaternions and 3d rotation, explained interactively

2018-10-26

[public] 610K views, 29.1K likes, 182 dislikes audio only

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Go experience the explorable videos: https://eater.net/quaternions

Ben Eater's channel: https://www.youtube.com/user/eaterbc

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-explorable-thanks

Previous video on Quaternions:

/youtube/video/d4EgbgTm0Bg

Nice explanation of Gimbal Lock:

https://youtu.be/zc8b2Jo7mno

Great videos comparing Euler angles and quaternions, from the perspective of an animator:

https://youtu.be/syQnn_xuB8U

https://youtu.be/4mXL751ko0w

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

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


Visualizing quaternions (4d numbers) with stereographic projection by 3Blue1Brown
/youtube/video/d4EgbgTm0Bg
Explorable video series Explorable videos!
https://www.3blue1brown.com/quaternion-explorable
Intro
/youtube/video/zjMuIxRvygQ?t=0
Quaternions
/youtube/video/zjMuIxRvygQ?t=59
Example
/youtube/video/zjMuIxRvygQ?t=87
Euler angles
/youtube/video/zjMuIxRvygQ?t=106
Complex numbers
/youtube/video/zjMuIxRvygQ?t=178
Using quaternions
/youtube/video/zjMuIxRvygQ?t=238
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. For more information, other projects, FAQs, and inquiries see the website: https://www.3blue1brown.com
/youtube/channel/UCYO_jab_esuFRV4b17AJtAw
Visualizing quaternions (4d numbers) with stereographic projection 3,757,386 views
/youtube/video/d4EgbgTm0Bg
Explorable video series 3blue1brown.com
https://www.3blue1brown.com/quaternion-explorable