Visualizing the 4d numbers Quaternions

What people said

Twisol · 2018-09 · Strong recommendation

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 in every sense; animation is just one of the (very effective) learning aides he uses.) [0] [VIDEO]

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nkrisc · 2023-07 · Recommendation

I found this video explaining quaternions to actually be a great way to explain (and visualize) higher spatial dimensions: [VIDEO] When you think about the nth dimension as a projection of the n+1th dimension, it begins to make a lot more sense. That doesn’t mean you can necessarily visualize the 4th spatial dimension directly, but you can at least visualize how the 3rd dimension can be a projection of the 4th, just like how we can easily see that the 2nd dimension as a projection of the third.

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Jun8 · 2021-12 · Recommendation

3B1B is also informative, especially in explaining why C was not extended using triplets but 4-tuples were needed: [VIDEO] . Here’s a Math SE answer on why: [LINK] , here’s a more ELI5 discussion: [LINK] . I especially like this very intuitive comment in that thread : [LINK] Left as an exercise to reader: prove that no such n-tuples exist for n>4.

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