I can't describe how pleasant this video was, the great explanation with beautiful visuals, to aid that Beethoven virus and flower dance, I god damn love those songs!! Then pendulum mechanics and gravity, damn, how can you hit so many of my favourite topics in a single 5-minute video...
your billiard bowl example is actually extremely deterministic and easily predictable. position(time) is not as tricky as you may think. here it comes down to VERY simple modulo arithmetic with very simple sign() symmetry. For skewed walls, add a dotproduct or barycentric coordinate transforms. if your function has a fast and precise enough inverse, this is mathematically simple, and may not even require advanced calculus. shadertoy has quite a lot of "deterministic physics" examples.
Of course it's deterministic, that's how he's able to simulate it at all. The interesting part is the regions with extreme sensitivity to the initial conditions.
@@a.warner1418 Maybe it's a bit of a misnomer to call them "chaos". To me, chaos means that choosing *exactly* the same values as inputs yields different results everytime. This is actually a completely deterministic system, just extremely sensitive to initial conditions, I agree. No fancy math talk needed to explain
Hey, just came across your channel the other day! Really hope you upload again soon, your content is awesome! If you’re looking for inspiration I think a desmos tutorial would be super cool.
Very cool im trying to figure put out how to make a ovel around 2 focus points that can move up,down,left and right from top view can you point me to a video or website ive tryed figuring it out in desmos with no success
Were you able to graph the projectile of a billiard ball bouncing inside of a irregular shape (2:28) on demos? If so could I see the graph? That is something I have previously tried to do but could not figure out.
This is a great video but I have one suggestion. My suggestion is to make your voice a little less monotone; I feel it would grow and reach a wider audience if you did this.
This is super interesting, I absolutely love the way you've animated the initial problem vs. the final graphs. Great stuff! :D
Recommendations strikes again!
ever since i was in your event you are everywhere
A billiard is actually the ball. That's why the whole game is called "billiards" . The flat surface on which the ball rolls is called the table.
im so thankful the yt algorithm decided to reveal this channel to me this is great
Your videos are awesome. I can't believe you have such a few number of followers, I got lucky to find your channel before it explodes with followers.
Don't you worry, the algorithm caught on
You did
it's been a while, been waiting for your videos!
I can't describe how pleasant this video was, the great explanation with beautiful visuals, to aid that Beethoven virus and flower dance, I god damn love those songs!! Then pendulum mechanics and gravity, damn, how can you hit so many of my favourite topics in a single 5-minute video...
the bgm just shot me back a few years when i first played osu
the background music is just my osu playlist what
very interesting video, also pleasantly surprised to hear flower dance start playing halfway through lmao
"filling these out is boring green blue brown"
Haha. I was playing around with a collision simulation and enjoying the chaos when this video shows up later today :3
This channels a hidden gem
You have good taste in music
The fact that the song u use at the end is the song I use to practice osu right now… (pretty new so Im only 2*)
1:17 cool easter egg
wow this is some truly awesome and unique content
The more I see how beautiful maths are the more I can't understand why some people hate them.
Cool video. Great visualizations!
This man is undeniably awesome
that music is a bop tho
It's amazing how the chaotic systems produce patterned graphs, great video btw
Great video! I really enjoy watching your channel.
you gave me the motivation to take maths specialist and methods as my atar (australian gcse kinda)
man this guy needs more subs
Genius.
Why TH-cam not recommended it me earlier. 🤔
dj okawari is a certified jam
your gravity simulation maps look remarkably similar to the experiments where a magnet was hung by a string over the top of other magnets on the floor
your billiard bowl example is actually extremely deterministic and easily predictable. position(time) is not as tricky as you may think. here it comes down to VERY simple modulo arithmetic with very simple sign() symmetry. For skewed walls, add a dotproduct or barycentric coordinate transforms.
if your function has a fast and precise enough inverse, this is mathematically simple, and may not even require advanced calculus.
shadertoy has quite a lot of "deterministic physics" examples.
man, my brain is smooth but those are some big words and you said them with enough confidence that i believe you, have a like
@@JustAGiraffe same
@@tago3860 same
Of course it's deterministic, that's how he's able to simulate it at all. The interesting part is the regions with extreme sensitivity to the initial conditions.
@@a.warner1418 Maybe it's a bit of a misnomer to call them "chaos". To me, chaos means that choosing *exactly* the same values as inputs yields different results everytime. This is actually a completely deterministic system, just extremely sensitive to initial conditions, I agree. No fancy math talk needed to explain
Have you ever used shadertoy? It's amazing
Hey, just came across your channel the other day! Really hope you upload again soon, your content is awesome! If you’re looking for inspiration I think a desmos tutorial would be super cool.
4:54 wouldn’t it eventually have the gravity add up enough to overpower inertia?
I forgot that chaos isn't limited to the complex plane. Great introduction!
where did you get to learn all of this information? cool video
epic
That was beautiful!
Did Anyone else notice
"Filling these out is boring"
Fascinating
Return of the King
Ahhh this is so cool
Bro so you're saying the dvd logo can never diagonally bounce off a corner???
amazinly beautiful stuff
Beethoven Virus is such a fucking banger.
please continue making videos, they're great :)
i second this
This thumbnail has Bill Wurtz vibes
touhou bg music detected
My bitrate hates this 😅
can you PLEASE come back to youtube???? I'm miss your deadpan dopeness!!!
These videos are amazing, they make all this complex math easy to understand
What the fuck is this
*aggressively subscribes*
this is pretty cool.
The most beautiful chaotic system: (-e)^x
Just look at a graph of it! Beautiful!
What’s the background music
I didn't understand a single shit..
But it is beautiful :)
you used a WYSI game osu music omg
Very cool
im trying to figure put out how to make a ovel around 2 focus points that can move up,down,left and right from top view can you point me to a video or website ive tryed figuring it out in desmos with no success
Were you able to graph the projectile of a billiard ball bouncing inside of a irregular shape (2:28) on demos? If so could I see the graph? That is something I have previously tried to do but could not figure out.
Thank you algorithm
ive watched the intro too many times
caar and firsk
good
Pog
you say cyalculate funny
brown lol
pls link discord 🙏
This is a great video but I have one suggestion. My suggestion is to make your voice a little less monotone; I feel it would grow and reach a wider audience if you did this.
brown is a color in here find brown color😀
you could definitely turn these into some collection of NFTs lol