Visualizing the 4d numbers Quaternions скачать в хорошем качестве

Visualizing the 4d numbers Quaternions

How to think about this 4d number system in our 3d space. Part 2:    • Quaternions and 3d rotation, explained int...   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 ------------------ 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... ------------------ 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:   / 3blue1brown   Reddit:   / 3blue1brown   Instagram:   / 3blue1brown_animations   Patreon:   / 3blue1brown   Facebook:   / 3blue1brown