THE VIDEO SHELF · quaternions
Visualizing the 4d numbers Quaternions
3Blue1Brown builds visual intuition for quaternions, showing how to think about this four-dimensional number system using stereographic projection and rotations in 3D space. It is part one of a two-part series with an interactive companion site.
Why HN readers recommended it
HN commenters recommend it as the best visual explanation of quaternions and a good way to visualize higher dimensions.
This is a summary from the source dataset, not an endorsement by Hacker News or the video creator.
Video & recommendation details
- Creator / channel
- 3Blue1Brown
- Topic
- quaternions
- Format
- explainer
- Level
- intermediate
- HN recommenders in dataset
- 6
- HN mentions in dataset
- 7
- Recommendation years in dataset
- 2018–2023
These counts and years describe the included Hacker News records; they are not YouTube views or the video’s publication date.
From the original HN conversations
Excerpts from the recorded comments. Follow each source for the full comment and surrounding discussion.
I'm happy to see 3Blue1Brown's most recent video [0] get a mention in this article! He does a great job of explaining quaternions though visual intuition. (I do think simply calling Grant a "math animator" is selling him a bit short. He's a true educator …
Twisol on Hacker News · 2018-09
In Quaternions: the Strange Numbers That Birthed Modern Algebra> rotors operate fully in 3D By this, the author means: you can visualize a rotor FULLY in 3D, no extra dimension neccessary. I suspect you never have tried to think about how quaternions work mechanically, I suggest this neat video: [VIDEO]
mlatu on Hacker News · 2020-01
In Let's remove quaternions from every 3D engine (2018)I still remember the first time when I saw videos about non-Euclidian Geometry[1] and Higher Dimensions[2]. I was amazed with such concepts, but I still havent read books about them. They are related somehow with topology[3] and curvature (and tangentially, to differential equations). [1] [LINK] …
huachimingo on Hacker News · 2021-05
In What is the Fourth Dimension? (1884)
Summaries, classifications and recommendation records are from the HackerTube source dataset. Read about this library and its limitations.
