oof, the one thing i am wont to want with 3b1b videos is an interactive suite accompaniment.. unreasonably ungrateful i know ;P<p>i had high hopes this would be it, but this is just a concise lesson form for the series.. which is great! i am a huge fan of both eater's and sanderson's entire ouvre<p>what's great is that 3b1b releases the code that generates these videos and i have cloned the manim(o) library a number of times in the past when a video had an idea i wanted to play around with but the effort usually gets a low priority and i get distracted with more pressing projects<p>i figure a simple localhost python server serving up dynamic frames generated by manim could do the trick, maybe i'll work at it again this weekend<p>when i want to learn a new mathematical concept i like to write the source myself, which is great for getting at the nuts and bolts but it is usually after i have done this and start to tweak the models or constants that i begin to gain a real intuitive understanding of an underlying concept<p>(o) <a href="https://github.com/3b1b/manim" rel="nofollow">https://github.com/3b1b/manim</a>
I know I’m getting annoying with this but dual quaternions are even whackier. They are the best formalism for reasoning about 3D space developing over time.<p>Here’s a cool demo <a href="http://www.chinedufn.com/dual-quaternion-shader-explained/" rel="nofollow">http://www.chinedufn.com/dual-quaternion-shader-explained/</a><p>They seem to correspond to linear logic which is insanity.
I am never going to understand quaternions. I just accept this, now.<p>No one, not ever, has been able to explain them sufficiently for me, or in a way that I can grasp.<p>Oh well.
Am I the only one who is utterly incapable to learn <i>anything</i> from a video? I read many hours per day, and look at figures, and try to understand them. But I cannot stand to wait for a three-minute video to finish. Why do people prefer linear videos to text that you can read at a whole?
Discussion about quaternions from 6 days ago: <a href="https://news.ycombinator.com/item?id=18265355" rel="nofollow">https://news.ycombinator.com/item?id=18265355</a> (99 comments)
Suppose you are standing anywhere on planet Earth, and you look at the horizon (not up, not down, so 360° of choice).<p>A normalized quaternion encodes your position on the planet + the direction you are looking at on the horizon.<p>It also encodes the rotation it would take to go from one such observer to another.
I was just watching this in my other tab...
<a href="https://imgur.com/a/aGj6tXy" rel="nofollow">https://imgur.com/a/aGj6tXy</a>