This entire youtube channel is a gem btw.<p>Delightful video on the lambda calculus and other compution concepts
<a href="https://www.youtube.com/watch?v=RcVA8Nj6HEo" rel="nofollow">https://www.youtube.com/watch?v=RcVA8Nj6HEo</a>
I loved this one about periodic double pendulums and their state space <a href="https://www.youtube.com/watch?v=dtjb2OhEQcU" rel="nofollow">https://www.youtube.com/watch?v=dtjb2OhEQcU</a>
Thanks for sharing. I remember reading Introduction to Lambda Calculus many years ago and it was one of those times where I had crazy math dreams and would wonder around SF convinced everything is functions. Like literally everything.
s/wonder/wander (although wonder kind of accidentally works too)
I miss having the crazy math dreams I used to get when I was in college. If only life could be an endless stream of turning over new stones.
This channel manages to be both informative and psychedelic at the same time, I love it. Their video on the quintic is amazing, too.<p><a href="https://www.youtube.com/watch?v=9HIy5dJE-zQ" rel="nofollow">https://www.youtube.com/watch?v=9HIy5dJE-zQ</a>
I enjoyed this and it warmed my heart a bit to see 4m views for some math animations. Maybe popular on r/trees or something :)<p>I was curious what they used to generate the graphic's and it's their own tool:<p><a href="https://github.com/2swap/swaptube" rel="nofollow">https://github.com/2swap/swaptube</a>
It reminds me of the billiards segment in Donald in Mathmagic Land[0]. I absolutely adored it as a kid.<p>0: <a href="https://en.wikipedia.org/wiki/Donald_in_Mathmagic_Land" rel="nofollow">https://en.wikipedia.org/wiki/Donald_in_Mathmagic_Land</a>
The emergent patterns are... stunning. Especially the ones around 2m35s <a href="https://www.youtube.com/watch?v=kL9BTbIGxLg&t=2m35s" rel="nofollow">https://www.youtube.com/watch?v=kL9BTbIGxLg&t=2m35s</a>
Wow this is stunningly beautiful and extremely cool. And I learned something I had never heard about.<p>BRB going to go make hyperbolic outer billards art
Stay down. After your shot, don't stand up right away.
I gotta know if the music is relating to the math or image in a generative way or if its just vibes/style.
Very rare to see such visual beauty in math like this. Well done.
I will never cease to be amazed by the range of thought experiments that get published as math papers.
The video didn't make this clear, but it is answering real questions. Its used in the study of geometrical optics, celestial navigation, etc. Ie set up a 'toy' problem that gives you insights into rather more complicated dynamical systems.<p>From Tabachnikov's book Geometry and Billiards:<p>Classical mechanics and geometrical optics, discussed in this chapter, are intimately related. The configuration trajectories of mechanical systems are extremals of a variational principle, similar to the trajectories of light. In fact, mechanics can be described as akind of geometrical optics; this was Hamilton’s approach to mechanics(see [3] for details). The brachistochrone problem is a good example of this optics-mechanics analogy.
Shooting pool with dmt entities right here
LSD is worse
Youtube quality really let's stuff like this down.
Great, but audio and audio mix is absolutely horrendous and super turbo 2.0 annoying. So much so I had to turn it off and read CC.
This is math junk food. Pretty though.
The video contains no equations, but it cites original, ongoing, research that has been going on since the 50s. Sure, you could rip a bong and go "woah, cool colors", or you could follow the links and read, say, Tabachnikov's book.<p>Personally I found that the videos instantly made some group theory aspects of this stand out. Maybe I'm completely off, and that's not really how this is approached, but now I have a question/idea as a foil which I can use to look a bit deeper. In any case, the animation SW came from a researcher in the field, I don't think they are doing this to generate junk food, but to solve actual problems in their field.
I would call it art, not junk food.
How so? I think applied mathematics is the exception.
It made me reconsider what I think about mathematics in general. So, if it was junk food, it was a nutritious one at that.
Entire math is junk food. Real animals don't touch that.