Cool Chaotic Systems

[@Ani]

This is super interesting, I absolutely love the way you've animated the initial problem vs. the final graphs. Great stuff! :D

[@LunaExpiX]

Recommendations strikes again!

[@sleepyfrogdev5168]

ever since i was in your event you are everywhere

[@simonmultiverse6349]

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.

[@iexist7204]

im so thankful the yt algorithm decided to reveal this channel to me this is great

[@Nekuzir]

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.

[@LuciSheppyLive]

Don't you worry, the algorithm caught on

[@cloudneverclear]

You did

[@erpasptstark2487]

it's been a while, been waiting for your videos!

[@erpasptstark2487]

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...

[@sganicocchi5337]

the bgm just shot me back a few years when i first played osu

[@walf6978]

the background music is just my osu playlist what

[@zhxn9210]

very interesting video, also pleasantly surprised to hear flower dance start playing halfway through lmao

[@fdsKedi]

"filling these out is boring green blue brown"

[@EPMTUNES]

Cool video. Great visualizations!

[@theJesai]

Haha. I was playing around with a collision simulation and enjoying the chaos when this video shows up later today :3

[@seanweber4252]

wow this is some truly awesome and unique content

[@shmillsyshmillsy6624]

This channels a hidden gem

[@alpaknan2189]

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*)

[@ollllj]

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.

[@JustAGiraffe]

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

[@tago3860]

@@JustAGiraffe same

[@budgetarms]

@@tago3860 same

[@a.warner1418]

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.

[@vladchira521]

@@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

[@bangbangliu2146]

You have good taste in music

[@yashjain1426]

This man is undeniably awesome

[@leucistic]

you gave me the motivation to take maths specialist and methods as my atar (australian gcse kinda)

[@jesublade356]

The more I see how beautiful maths are the more I can't understand why some people hate them.

[@official-obama]

4:54 wouldn’t it eventually have the gravity add up enough to overpower inertia?

[@Skittleplays891]

man this guy needs more subs

[@TomaSajt]

Great video! I really enjoy watching your channel.

[@mrcheese7393]

1:17 cool easter egg

[@bobyboy1881]

It's amazing how the chaotic systems produce patterned graphs, great video btw

[@haroldlindley6620]

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

[@holdeng2626]

that music is a bop tho

[@spudz7405]

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

[@Heavenira]

I forgot that chaos isn't limited to the complex plane. Great introduction!

[@anthr4x860]

dj okawari is a certified jam

[@yuma9325]

amazinly beautiful stuff

[@paulroberto2286]

That was beautiful!

[@lewisdayrit4173]

where did you get to learn all of this information? cool video

[@SafetySkull]

Have you ever used shadertoy? It's amazing

[@sumitrahi1519]

Did Anyone else notice "Filling these out is boring"

[@amogus7]

touhou bg music detected

[@splendor10]

Genius. Why KZbin not recommended it me earlier. 🤔

[@JLseries]

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.

[@kevalmehta3318]

What’s the background music

[@virtuallyaverage9357]

My bitrate hates this 😅

[@Insanification]

Ahhh this is so cool

[@Gluu4]

Return of the King

[@-thanawat-8296]

Fascinating

[@RannyBergamotte]

epic

[@blue0001]

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.

[@axa122]

you used a WYSI game osu music omg

[@luigiduprez7510]

please continue making videos, they're great :)

[@MINECRAFTLOVER4000]

i second this

[@michaelb6349]

can you PLEASE come back to youtube???? I'm miss your deadpan dopeness!!!

[@meep4531]

this is pretty cool.

[@40watt53]

Beethoven Virus is such a fucking banger.

[@barbonson_richards]

Bro so you're saying the dvd logo can never diagonally bounce off a corner???

[@ronniemouser9752]

This thumbnail has Bill Wurtz vibes

[@thebuffman5597]

The most beautiful chaotic system: (-e)^x Just look at a graph of it! Beautiful!

[@flauu6426]

I didn't understand a single shit.. But it is beautiful :)

[@waiitwhaat]

What the fuck is this *aggressively subscribes*

[@uRDM]

pls link discord 🙏

[@AA-gl1dr]

Thank you algorithm

[@60mmm]

ive watched the intro too many times

[@bromanned7069]

These videos are amazing, they make all this complex math easy to understand

[@rycftxdhfsdyftgdxuuhgjfgzx1925]

caar and firsk

[@marksmod]

good

[@Death_By_Orange]

Pog

[@dominiklukacs7677]

brown lol

[@d0x2f]

you say cyalculate funny

[@KB-vs7ng]

brown is a color in here find brown color😀

[@strawberrysayori-222]

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.

[@doritomaster180]

you could definitely turn these into some collection of NFTs lol