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Freya Holmer, of The Continuity of Splines [0] fame, recently gave a great conference talk about how quaternions naturally arise from the desire to define the m
by mkaic 3y ago
Freya Holmer, of The Continuity of Splines [0] fame, recently gave a great conference talk about how quaternions naturally arise from the desire to define the multiplication of two vectors if you just agree to one new axiom: v^2 = ||v||^2, or "the square of a vector is equal to the square of its norm". It was fascinating and entertaining and I highly recommend anyone who finds this stuff interesting but confusing (like I do) to check it out: https://www.youtube.com/watch?v=htYh-Tq7ZBI https://www.youtube.com/watch?v=htYh-Tq7ZBI
[0] https://www.youtube.com/watch?v=jvPPXbo87ds https://www.youtube.com/watch?v=jvPPXbo87ds
- skaskaska 3y agoAlso check out https://youtu.be/60z_hpEAtD8?si=3Klxzo_cj5y39fFe https://youtu.be/60z_hpEAtD8?si=3Klxzo_cj5y39fFe and https://bivector.net/index.html https://bivector.net/index.html Some of the perceived complexity of complex numbers and quaternions seems to stem from not knowing the bigger picture.
- shahar2k 3y agoI actually just watch this talk last night She is an absolutely fantastic explainer for these complex concepts, her video about splines was also hugely illuminating
- danielvaughn 3y agoI didn't understand shaders until I watched a 3 hour video of Freya explaining them from first principles. It was one of those "why didn't anyone say it like this before" moments. She's amazing.