Cool Chaotic Systems

One of these days I'll get back on a consistent upload schedule. For now here's something I've been working on the past month.

#math #programming #chaos

I dont know what else to write here so have this cool smiley: (｡◕‿‿◕｡)

[Ani]

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

[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.

[iexist]

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

[erpasptstark]

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

[sganicocchi]

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

[zhxn]

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

[walf]

the background music is just my osu playlist what

[theJesai]

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

[fdsKedi]

"filling these out is boring green blue brown"

[seanweber]

wow this is some truly awesome and unique content

[leucistic]

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

[alpaknan]

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.

[jesublade]

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

[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.

[TomaSajt]

Great video! I really enjoy watching your channel.

[splendor]

Genius.
Why YouTube not recommended it me earlier. 🤔

[haroldlindley]

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

[Heavenira]

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

[bobyboy]

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