Visualizing quaternions (4d numbers) with stereographic projection

How to think about this 4d number system in our 3d space. Part 2: Interactive version of these visuals: Help fund future projects: An equally valuable form of support is to simply share some of the videos. Special thanks to these supporters: Quanta article on quaternions: The math of Alice in Wonderland: 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 ------------------ 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 ico