Chaotic System in Circles Makes Fractals

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Inspired by: • Fractal emerging from ...
And some comments below that video.
I originally rendered all the fractals in 60fps, but DaVinci Resolve would only let me render it in 24fps :/.
Also the poor quality is due to GLSL not supporting double-precision trig functions.
Can these even be called fractals? They certainly have some fractal-like properties: Namely complexity and self-similarity (and also a connection to chaos). I think that is enough to call them fractals.
Love Mathematical Beauty.
JJJreact
Timestamps:
0:00 Intro
1:04 N hits
2:04 Time, revert
3:34 Time, project
5:18 Distance, project

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2 июл 2024

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Комментарии : 45

@internetuser8922 Год назад

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

@samuels1123 Год назад

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 Год назад

multiply by velocity

@SuperMaDBrothers Год назад

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

@firepaca2626 Год назад

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

@arandominternetuser5614 Год назад

Very high quality content, keep it up

@Danchell 11 месяцев назад

Thank you for sharing nature’s endless beauty.

@demidrol5660 Год назад

absolutely stunning! keep it up!

@prietjepruck Год назад

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

@ice9snowflake187 Год назад

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 Год назад

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 Год назад

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

@sequoiapheroza Год назад

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

@joedalton77 Год назад

Very nice idea

@NikitaFractal Год назад

Thanks!

@zombathinlostleghackercat5233 Год назад

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

@josebarradas5320 Год назад

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

@samanthaqiu3416 Год назад

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

@kristoferkrus Год назад

2:44 That's trippy...

@bertberw8653 Год назад

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

@joselebousier2927 Год назад

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

@anthonyrepetto3474 Год назад

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

@NikitaFractal Год назад

Part 2: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-B2ws0VmDd5A.html

@borntoclimb7116 Год назад

Nice Animation

@Andrew90046zero Год назад

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

@AVERYhornyMrDinosaur Год назад

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.

@dinoortolani6794 10 месяцев назад

nice

@nphiro5030 Год назад

That is clearly period doubling.

@jayyannick2276 Год назад

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

@archlich4489 Год назад

You should do some cymatics!

@MetaBuddha Год назад

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

@ThisIsTheIkeMaster Год назад

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

@Foxxey Год назад

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

@shminge7779 Год назад

how'd you render these? great video

@xaverstenliz8466 Год назад

Fractalaty🖖

@morgengabe1 Год назад

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

@nunogirao8097 6 месяцев назад

Will it cycle sometime? Or ot is chaos forever?

@nagualdesign Год назад

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

@houssamaissous4760 Год назад

Dude, is this the same Brownian motion?

@nnbbvc3983 Год назад

Это фрактал Ляпунова? Похож на него

@aldoskyz8 Год назад

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 Год назад

take your meds

@joselebousier2927 Год назад

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 Год назад

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...