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
@bertberw865310 ай бұрын
An explanation to the layman on how you got these patterns would have been nice
@archlich448910 ай бұрын
You should do some cymatics!
@pat369011 ай бұрын
First part looks like two big titties bouncing about
@joselebousier292711 ай бұрын
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
@kristoferkrus11 ай бұрын
2:44 That's trippy...
@Foxxey11 ай бұрын
Do you think these would look similar for very high values? It seems like there is one underlying fractal for all of them..
@ThisIsTheIkeMaster11 ай бұрын
I'd like to see this where theres drag and a set initial speed towards the closest wall but no gravity
@firepaca262611 ай бұрын
"What are you doing" "I'm watching"
@NonTwinBrothers11 ай бұрын
Man, this makes me wish I knew how to program parallel threads correctly, so running a simulation wouldn't be painfully slow. Using GLSL is a nice solution though
@aldoskyz811 ай бұрын
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..
@lgbtthefeministgamer403911 ай бұрын
take your meds
@joselebousier292711 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)
@KingDetonation10 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...
@morgengabe111 ай бұрын
Any chance we could get our grubby little mits on the source code?
@AVERYhornyMrDinosaur11 ай бұрын
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.
@Andrew90046zero11 ай бұрын
These were some pretty cool fractals! Though, I was dissapointed by the lack of green :P
@izobrr11 ай бұрын
How it looks in a parabola?
@jayyannick227611 ай бұрын
Within chaos rules orders, within orders rules chaos...
@zombathinlostleghackercat523311 ай бұрын
This makes no sense to me. What are you measuring? Why are the colors changing? And why do they change where they do?
@ice9snowflake18711 ай бұрын
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.
@EnderWalrusD00d11 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
@MagicGonads11 ай бұрын
it also matters how strong gravity is compared to the diameter of the boundary
@jimdickenson660011 ай бұрын
Wow!
@EmilMacko11 ай бұрын
What about a point in a circle without gravity applied?
@samuels112311 ай бұрын
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
@laurenpinschannels11 ай бұрын
multiply by velocity
@xaverstenliz846611 ай бұрын
Fractalaty🖖
@shminge777911 ай бұрын
how'd you render these? great video
@nnbbvc398311 ай бұрын
Это фрактал Ляпунова? Похож на него
@internetuser892211 ай бұрын
these patterns remind me of the stress patterns you can see in plastic if you look at it through a polarizing filter.
@MetaBuddha11 ай бұрын
Might You Be The Nikita I Think You Are? If So, Our Song I'm Choosing To Call 'mecca'. 💜🎶 Namaste 🙏
@prietjepruck11 ай бұрын
I wrote the first implementation but the timed version is interesting. I'm definitely gonna make that one too.
@demidrol566011 ай бұрын
absolutely stunning! keep it up!
@josebarradas532011 ай бұрын
I don’t understand how you fill the circle with color after hitting a wall
@samanthaqiu341610 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
@nagualdesign Жыл бұрын
(2:53) Isn't that the smiley face on LSD emoji?
@sequoiapheroza Жыл бұрын
Got this rec'd to me, was blown away by how high quality this video was. I hope your channel grows
@anthonyrepetto3474 Жыл бұрын
Lovely, thank you! And, what is the *melody* you are playing?
@cooltv2776 Жыл бұрын
this is really cool! I love to see this for other shapes, including some that result in non chaotic systems.
@emilpysenisoncrack420 Жыл бұрын
I have an idea. Perhaps it isn't as easily implementable, but if the coefficient of restitution is lower than one, where on the circle does the ball start to just "roll"?
@dylanmissuwe4839 Жыл бұрын
Wow that's beautiful! I think it would be interesting to see in other functions like a hyperbola, parabola, -cos(x), cosh(x), etc.
@arandominternetuser5614 Жыл бұрын
Very high quality content, keep it up
@NikitaFractal Жыл бұрын
Part 1: kzread.info/dash/bejne/ZZx2xJOYoazFeaw.html
@NikitaFractal Жыл бұрын
Part 2: kzread.info/dash/bejne/dGar1ZKPnafKZaQ.html
Пікірлер
Will it cycle sometime? Or ot is chaos forever?
nice
Thank you for sharing nature’s endless beauty.
Nice Animation
That is clearly period doubling.
Dude, is this the same Brownian motion?
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
An explanation to the layman on how you got these patterns would have been nice
You should do some cymatics!
First part looks like two big titties bouncing about
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
2:44 That's trippy...
Do you think these would look similar for very high values? It seems like there is one underlying fractal for all of them..
I'd like to see this where theres drag and a set initial speed towards the closest wall but no gravity
"What are you doing" "I'm watching"
Man, this makes me wish I knew how to program parallel threads correctly, so running a simulation wouldn't be painfully slow. Using GLSL is a nice solution though
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..
take your meds
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)
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...
Any chance we could get our grubby little mits on the source code?
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.
These were some pretty cool fractals! Though, I was dissapointed by the lack of green :P
How it looks in a parabola?
Within chaos rules orders, within orders rules chaos...
This makes no sense to me. What are you measuring? Why are the colors changing? And why do they change where they do?
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.
I believe all these simulations have a bounce size of exactly 1, so if you allowed it to keep going, it would bounce forever
it also matters how strong gravity is compared to the diameter of the boundary
Wow!
What about a point in a circle without gravity applied?
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
multiply by velocity
Fractalaty🖖
how'd you render these? great video
Это фрактал Ляпунова? Похож на него
these patterns remind me of the stress patterns you can see in plastic if you look at it through a polarizing filter.
Might You Be The Nikita I Think You Are? If So, Our Song I'm Choosing To Call 'mecca'. 💜🎶 Namaste 🙏
I wrote the first implementation but the timed version is interesting. I'm definitely gonna make that one too.
absolutely stunning! keep it up!
I don’t understand how you fill the circle with color after hitting a wall
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
(2:53) Isn't that the smiley face on LSD emoji?
Got this rec'd to me, was blown away by how high quality this video was. I hope your channel grows
Lovely, thank you! And, what is the *melody* you are playing?
this is really cool! I love to see this for other shapes, including some that result in non chaotic systems.
I have an idea. Perhaps it isn't as easily implementable, but if the coefficient of restitution is lower than one, where on the circle does the ball start to just "roll"?
Wow that's beautiful! I think it would be interesting to see in other functions like a hyperbola, parabola, -cos(x), cosh(x), etc.
Very high quality content, keep it up
Part 1: kzread.info/dash/bejne/ZZx2xJOYoazFeaw.html
Part 2: kzread.info/dash/bejne/dGar1ZKPnafKZaQ.html
Very nice idea
Thanks!