Visualizing Quaternions - 4D Numbers With Stereographic Projection

Explore the fascinating world of quaternions in this 32-minute video that delves into visualizing 4D numbers using stereographic projection. Learn how to conceptualize this complex 4D number system within our 3D space through engaging explanations and visual aids. Begin with an introduction to the topic, then follow the journey of Linus the linelander and Felix the flatlander to gain a deeper understanding of dimensional perspectives. Discover the intricacies of mapping 4D to 3D and uncover the geometry behind quaternion multiplication. Gain valuable insights into modern algebra and its connections to literature, with references to Alice in Wonderland's mathematical underpinnings. Access additional resources, including an interactive version of the visuals and a follow-up video, to further enhance your comprehension of this intriguing mathematical concept.

- Intro.
- Linus the linelander.
- Felix the flatlander.
- Mapping 4d to 3d.
- The geometry of quaternion multiplication.