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.
mkw5053 57 minutes ago [-]
s/wonder/wander (although wonder kind of accidentally works too)
sublinear 9 hours ago [-]
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.
fasterik 4 hours ago [-]
I wonder if it's an age/brain development thing. I also had crazy math and programming dreams in my early 20s. I don't get those any more, though I still spend a lot of waking time (possibly more now than back then) obsessing over math and programming problems.
whoanoway 18 minutes ago [-]
[dead]
enatiello 24 minutes ago [-]
Stay down. After your shot, don't stand up right away.
I saw a video series long ago where a guy kept playing with shapes algorithmically like this, and his catch phrase was something like "oops, I made a fractal again". Wish I could find it!
laxatives 3 hours ago [-]
I gotta know if the music is relating to the math or image in a generative way or if its just vibes/style.
Wow this is stunningly beautiful and extremely cool. And I learned something I had never heard about.
BRB going to go make hyperbolic outer billards art
sirnicolaz 52 minutes ago [-]
LSD is worse
thinkingtoilet 47 minutes ago [-]
Very rare to see such visual beauty in math like this. Well done.
dlcarrier 6 hours ago [-]
I will never cease to be amazed by the range of thought experiments that get published as math papers.
RogerL 57 minutes ago [-]
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.
From Tabachnikov's book Geometry and Billiards:
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.
brador 5 hours ago [-]
This is math junk food. Pretty though.
RogerL 1 hours ago [-]
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.
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.
nkrisc 3 hours ago [-]
How so? I think applied mathematics is the exception.
bayindirh 3 hours ago [-]
It made me reconsider what I think about mathematics in general. So, if it was junk food, it was a nutritious one at that.
fasterik 4 hours ago [-]
I would call it art, not junk food.
zkmon 1 hours ago [-]
Entire math is junk food. Real animals don't touch that.
nkrisc 15 minutes ago [-]
That’s not entirely true. There are parts of mathematics that have useful real world applications. Sometimes even the parts we thought were esoteric and abstract turn out to have applications that were not conceived of yet at the time of discovery.
temp0826 8 hours ago [-]
Shooting pool with dmt entities right here
globular-toast 4 hours ago [-]
Youtube quality really let's stuff like this down.
ngcazz 2 hours ago [-]
oddly I felt like the compression artefacting during the hyperbolic part enhanced the psychedelic effect
Keyframe 3 hours ago [-]
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.
jaapz 3 hours ago [-]
I liked it, felt right for the video
Keyframe 3 hours ago [-]
I think it might be the mix and the (low) level of voice over background and the stereo image combined with what I am listening on that makes me uncomfortable for some reason.
Delightful video on the lambda calculus and other compution concepts https://www.youtube.com/watch?v=RcVA8Nj6HEo
BRB going to go make hyperbolic outer billards art
From Tabachnikov's book Geometry and Billiards:
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.
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.