butterfly effect - one million double pendulums 

Accurate

Omg relatable

Oh my god

imagine not finding the long side when you have night vision

and also flipping it to the smooth side

Only true chads know how you knew ;)

Not to be that one guy, but they used SFML which is based on OpenGL and is it’s own renderer. While impressive, they didn’t make the renderer

shut up nerds

@@blazeytown4444 ok............... :(

@@whigmalwhim4760 nope. I piped pixels into ffmpeg

it probably took hours to rendet

@@incription yea rendering this many of them can take hours or even days depending on what GPU you have.

the first one was a million

@@SpectreDev You can render this many in real time with gpu computing, not that big of a deal

@@mymo_in_Bb Lmao it started with 1 000 000 then 100 000 then 10 000

Hello, fellow Will

That was intentional :p

@@AccentedContent lol

@@AccentedContent awesome stuff

Absolutely, I love it

elbow be like :AÆÂĒīā

I was just gonna comment that lol

I recently broke my elbow and can tell you: hitting it on the table hurts more. But the pain goes away much, much faster.

cool pfp

0:52

You can run this kind of simulation on any PC because they are not run in real time. It can take few seconds per frame to render. But once every frames are generated, you just pile them at 30fps

@@john_hatten2862 if you wanted you could literally run this simulation by doing the math yourself for each frame. It’d take fucking forever, but you could.

@@connorcriss oh man I can't imagine how precise you must be to make it work. If you round at 0.000000000000001 (assuming the pendulum lenght is 1), you would still get completely different results after few seconds

"give this man" "he/she" hmmm

@@Konomi_io nobody asked

quantum mechanics at its finest

@@NFITC1 This is purely classical mechanics, nothing quantum about it.

I'm wondering if it's a simulation limit.

@@joshuahudson2170 The simulation is correct for a double pendulum system made of two point masses (the rod connections are massless, thus being impossible to replicate in the real world). These systems are easier to solve then a real double pendulum that has mass associated with the rod connection, not just the pivot and end point. Regardless, double pendulum systems are great examples of chaotic motion and it is hard to guess how they will behave without solving the system as is shown. The most interesting part of these systems is that one may find some initial conditions that, even after a very long time t, the masses of the pendulum have not entered one or more bounded regions. These regions are usually vertically symmetric. You could have some double pendulums swing for all time, assuming no external resistance or damping, and still have neither mass ever enter a particular region, while knowing this region is defined by your initial conditions somehow. We just don't have a functional form defining that area from starting conditions due to the nature of chaotic motion. Since we know classical mechanics, which describes this interaction, is deterministic, a functional form should exist but we have yet to derive it and are stuck having to solve, across t, a two point mass system.

@@NFITC1 quantum is in reference to something at the atomic level. you used it incorrectly in this statement

I think you're thinking about...screen_Saver

@@iSyriux No, desktop backgrounds are NOT called screensavers.

true

hands waiter a bill

cheque :)

Check mate

...meow?

1.

@@6884 fax

Have you ever truly experienced the k-hole where your mind disassociates from your body and reality? Have you ever experienced the feeling of your mind searching for reality while no longer being certain that it exists or what it is?

@@acarpentersson8271 *EVERYDAY*

The algorithm is a beast that must be fed. Thank you for your contribution.

Almost like physics isn't real...

@@andreiandrofski9426 ?

@@Bob13454 The spread of those pendulums would only happen for different lengths. If they are all identical, they will all follow the exact same path and no pattern will be produced

@@andreiandrofski9426 It says in the video the starting angles are very slightly different.

@@Bob13454womp womp

What does that mean?

@@AccentedContent could be a reference to terrarias boss empress of light

Yup

Thx for being 420

Yeah I mean with that many instances, pure chance would have drawn you a circle as well.

Reaching

This, or like a sound cloud or something.

It's same music as the soundtrack of the movie "Predestination"

​@@sagittarius284 which song in the soundtrack tho

1M took like an hour cause I didn't parallelize it. Maybe next time

I just set both this comment and the following reply to 69 likes.

@@extrapathos >:)