these patterns remind me of the stress patterns you can see in plastic if you look at it through a polarizing filter.

I think it might be interesting to try multiplying the brightness by distance to center, so a ball at exactly the center of the circle at the end of the time would appear dark

@laurenpinschannels

10 ай бұрын

multiply by velocity

Doing it over time is a great way to see what’s going on. It makes the chaos not come from nowhere. It kinda shows that the chaos isn’t particularly meaningful, it’s just a result of mixing

"What are you doing" "I'm watching"

Thank you for sharing nature’s endless beauty.

Very high quality content, keep it up

2:44 That's trippy...

Got this rec'd to me, was blown away by how high quality this video was. I hope your channel grows

I wrote the first implementation but the timed version is interesting. I'm definitely gonna make that one too.

absolutely stunning! keep it up!

An explanation to the layman on how you got these patterns would have been nice

This makes no sense to me. What are you measuring? Why are the colors changing? And why do they change where they do?

Actually, a lot of phenomenon exhibiting chaos generate fractal when you plot whatever measure of the ending state with a color as a function of initial conditions. The most famous examples are probably the magnetic pendulum with 3 or more magets, the fractals of Newton-Raphson's root finding method, and Hofstadter's butterfly

In these screen simulations involving bouncing balls, I always wonder how the amount of "bounce" is calculated. I would think that that particular variable is the key to the whole thing, and it could be set at any desired value in these simulations.

@EnderWalrusD00d

11 ай бұрын

I believe all these simulations have a bounce size of exactly 1, so if you allowed it to keep going, it would bounce forever

@MagicGonads

10 ай бұрын

it also matters how strong gravity is compared to the diameter of the boundary

Very nice idea

@NikitaFractal

Жыл бұрын

Thanks!

Lovely, thank you! And, what is the *melody* you are playing?

These were some pretty cool fractals! Though, I was dissapointed by the lack of green :P

Within chaos rules orders, within orders rules chaos...

Nice Animation

I don’t understand how you fill the circle with color after hitting a wall

@samanthaqiu3416

9 ай бұрын

every point on a vertical line hit on the same spot the first time but not necessarily on subsequent ones due to different heights imply difference in velocities

You should do some cymatics!

nice

Might You Be The Nikita I Think You Are? If So, Our Song I'm Choosing To Call 'mecca'. 💜🎶 Namaste 🙏

this ball is from deep space 9, you know the episode. the goal is to get it all one color. if it looks like this, your mind is too cloudy and unfocused.

Part 2: kzread.info/dash/bejne/dGar1ZKPnafKZaQ.html

That is clearly period doubling.

I'd like to see this where theres drag and a set initial speed towards the closest wall but no gravity

how'd you render these? great video

Do you think these would look similar for very high values? It seems like there is one underlying fractal for all of them..

Fractalaty🖖

Will it cycle sometime? Or ot is chaos forever?

Any chance we could get our grubby little mits on the source code?

Dude, is this the same Brownian motion?

(2:53) Isn't that the smiley face on LSD emoji?

Это фрактал Ляпунова? Похож на него

Nothing is chaos. We use this word every time, because of our shameless ego, we do not accept defeat in understanding creation. Nothing is chaos, there are simply rules of creation too complex to be analyzed with our poor and small logical systems. Life is commanded, in the invisible, by such and so many complex laws that, in order to begin compressing them, we will have to start being less selfish, less stupid.. Starting to think about what creation really is.. . We will be shocked.. but the truth is shocking and this is the wonder of life! much more than what the media, that our bosses, want us to believe..

@lgbtthefeministgamer4039

10 ай бұрын

take your meds

@joselebousier2927

10 ай бұрын

Chaos actually refers to what our knowledge can predict but with a very short range of coherency. I don't know any physicist that believe chaos is stuff that we don't grasp because we physically can't. Chaos in science is used for systems that are very sensitive to initial conditions and that exhibit similar patterns across all the initial conditions space (explaining the relation with fractals). The "very sensitive" is obviously relative to how precision of control and measurement. When you hear a scientist talking about chaos, they likely do not speak with assurance that they are discussing an intrinsically unpredictable phenomenon. They are using the definition above (that is partially relative to us)

@KingDetonation

10 ай бұрын

This has very "God doesn't play dice with the universe" energy. Unfortunately for you, that saying was disproven a while back with the introduction of fields like Quantum Physics...