5000 balls falling in a circle and a parabola, plus a cute bug

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5000 balls falling in a circle and a parabola, plus a cute bug

Рет қаралды 477,216

Күн бұрын

5000 initially randomly homogeneously distributed balls arranged as a circular disc fall on a lower half circle boundary and on a parabola.
A few single balls in the circle somehow decided to travel to the future and move backwards in time.
Music by @gpcbass. Song called "Footprints", originally written by Wayne Shorter 1966.
Visuals in Python & FFmpeg.

Пікірлер: 364

@donkeyy8331 Жыл бұрын

I really like the 3D effects they make, even though there is no "depth" axis in this simulation.

@brandonf-pn9mv Жыл бұрын

That would be your brain's pattern recognition. There are no 3 dimensional videos out there, they are all portrayed on a 2d surface

@sailcg Жыл бұрын

Even if simulated in 3D, these particles still only move in a flat "plane"

@seaajayy Жыл бұрын

@@sailcg They are balls, and if they are like real objects they will collide in a 3d world

@Scotty-vs4lf Жыл бұрын

@@seaajayy hes right tho. if they all started in the same plane (say z=0) and all of their initial velocities were (x, y, 0) then they would stay in the same plane forever even if they collide with each other

@Voshchronos Жыл бұрын

@@Scotty-vs4lf given that the parabola is extruded in the z-axis too, yes, you're correct

@KazmirRunik Жыл бұрын

another one could be done but instead of one color at the top and another at the bottom, it's one color at the center and another color on the outer edge of the circle (or just a white outer edge), so that the original outer boundary of the circle is always visible and you can make out exactly how that outer boundary is warped

@stealthemoon8899 Жыл бұрын

I love this idea

@sleeeto Жыл бұрын

I really hope they see this because I really need to see /that/

@Nodventurer_3D 6 ай бұрын

@@sleeeto I made it for you, kzfaq.info/get/bejne/q7ufrKajnL3SiKM.html

@PayDaVig1 6 ай бұрын

The music is an interesting and spooky Interpretation of Dizzy Gillespie’s “Footprints.”

@noelmsp007 4 ай бұрын

i hope that one ball i followed the whole time is living their best life and has build a little balls family of their own.

@lucaupatree6139 4 ай бұрын

How did you follow the ball…

@axo677 4 ай бұрын

Whuu.....

@DeusExMamiya Жыл бұрын

Now add collisions to the balls and see if your computer turns into a jet engine.

@danditzel7271 7 ай бұрын

Watching chaos collapse into order and vice versa is beautiful. Nice Dark Side of the Moon vibes with the music too.

@DH-rj2kv 7 ай бұрын

There is nothing chaotic in that simulation, really.

@alia7960 4 ай бұрын

@@DH-rj2kvHow so? Looks chaotic to me.

@planetballuniverse2108 7 ай бұрын

Wheres the bug

@WildmanTrading 4 ай бұрын

Maybe the bug was the friends we made along the way.

@zelladabesto 4 ай бұрын

on your neck :)

@WaitWhat-ry8my 4 ай бұрын

on your back >:)

@Joseph_Drew_III 4 ай бұрын

Asymetry?

@catilol8980 4 ай бұрын

At 1:34 and 1:47 you can see grains appear on the bottom of the circle, go up, and disapear; they shouldn't be there according to the rules of the simulation.

@jnr2349 9 ай бұрын

It'd be cool to connect the particles horizontally into a surface. Shade each color in the Z axis and then see how the strip becomes longer and increasingly reflected.

@desreset 8 ай бұрын

wake up new adhd trap just dropped

@KoNTeX2 Жыл бұрын

I find it weird that people dislike the music - i actually think it’s awesome!

@AT-9777 9 ай бұрын

The music made it feel like I was in a dream. Cool

@m.i.c.h.o 8 ай бұрын

@@AT-9777 seriously! Trippy stuff :)

@cousinivoryciv1309 8 ай бұрын

music is subjective

@narthex1681 7 ай бұрын

Sounds like a Pink Floyd lost track lol

@Cat_WasTaken 7 ай бұрын

THATS WHAT I WAS THINKING@@narthex1681

@EchosTackyTiki 8 ай бұрын

This is what I imagine shrooms to be like.

@michaeldebidart Жыл бұрын

I'm such an idiot, I was actually expecting to see an insect at the end 🙃

@JoEbY-X 7 ай бұрын

Same

@vincentstrangewaes 7 ай бұрын

yeah :( the simulation was cool but i thought we'd get to see a cool beetle or something

@The_Legend47 6 ай бұрын

LMAO yep!

@Animal-yb1rr Жыл бұрын

this was an interesting one

@rhaunshoden5304 7 ай бұрын

What a time to be alive

@antoinemasson166 Жыл бұрын

The perfect acid trip doesnlt exi- 😮

@absolute___zero Жыл бұрын

awesome!!! I am trying to implement schrodinger equation on my own and this channel is a great source for computational physics

@HerbertTowers 7 ай бұрын

WTF do you mean by "implement"...?

@absolute___zero 7 ай бұрын

@@HerbertTowers term used in computing science, when you have to write the code after finishing the analysis phase

@evahxh Жыл бұрын

2:25 gentlemen we must stay focused

@CJski 8 ай бұрын

I should call her

@andresmartinezramos7513 5 ай бұрын

lolol

@-stewie- 4 ай бұрын

Lol

@cassworldofwonder 4 ай бұрын

it looks like a bikini lol

@xtacle1 7 ай бұрын

For me the little gaps inside the rebounding sphere after the first hit are most fascinating. Reminds me a bit of the cosmic macrowave background. Maybe the randomized interaction of the balls with each other has to do with it, who knows...

@Jacob-2796 6 ай бұрын

I don't think the balls are interacting with each other. They all have no hit box

@cheeseburgermonkey7104 Жыл бұрын

The fact that the shape of the balls in the circle somehow resembled -cosh(x) at one point though

@christophercharles9645 7 ай бұрын

Took me a minute to realize the electric remake of Wayne Shorter's Footprints. There's a sick version by bassist Eddie Gomez' trio.

@MrFejjO Жыл бұрын

So much of your music in these videos reminds me of a Luc Besson movie in the early 90s composed by Eric Serra. Je l'aime.

@ginger1398 Жыл бұрын

Interesting that all the points seem to always remind us of the focus of the parabola

@omniputin4124 7 ай бұрын

It's like watching a windows 98 screen saver

@LoneStarRay 7 ай бұрын

This will be in everyone’s recommendations come 2033

@thegallantsaint2034 7 ай бұрын

The pattern we see here is like a quantum wave function. We don't know with absolute precision the paths of individual balls (particles), but we can see that there is an envelope that the particles do not go outside of.

@spamtonneo3513 6 ай бұрын

I KNEW it would be the stickbug! I said this to mess with people so if I see you complain I'll know who saw this

@amrothxxx Жыл бұрын

You deserve millions of subs.

@josem138 Жыл бұрын

0:35 a tree!!

@elszrvee 5 ай бұрын

This video is why they need to bring screensavers back.

@martonhegedus2684 7 ай бұрын

Wonderful!! In the circle at the end, like a kinetic model of gas... :))))

@AnnistonianAdventure 7 ай бұрын

I came for the cute bug; I feel cheated.

@nutmeg6463 7 ай бұрын

So this is what gustafsson do when he's not fighting. Cool.

@franciscoaquino9424 8 ай бұрын

This music sounds like it could be from a halo game.

@richard.v Жыл бұрын

YT compresion really loving this vid

@theunintelligentlydesigned4931 7 ай бұрын

No collision physics between the balls plus a bit of a random generator in the program.

@user-lp4gc2jr6l 5 ай бұрын

If we watch the Cosmo from a so far place, this scene will exist at that sea.

@michaelrusinak3194 4 ай бұрын

imagine this is the universe and each ball is a million galaxies and we find our self at one second of this video looking at motion for a millisecond wondering how it all works

@seer3336 Жыл бұрын

Idk why but this is very therapeutic but giving me calculus PTSD at the same time

@jibrilnoflugel1702 3 ай бұрын

This is fking weird and idk why am i still watching it... but i cant stop. HELP

@thiscannotbeyourname 2 ай бұрын

One day, when we create particles that do not interact with themselves, but anything else, we will see if these simulations are true.

@nasim09021975 Жыл бұрын

Very satisfying video 😊

@JoeJackaboa Жыл бұрын

Quietly freaking out about why it's not perfectly symmetrical, feels like a very big deal

@raffaeledivora9517 Жыл бұрын

It may be SSB (spontaneous symmetry breaking) due to rounding errors, or the initial configuration wasn't totally symmetric to start with.The first process will happen anyway and is indeed very important in nature

@gibbogle 7 ай бұрын

Numerical computations are not exact, there is always a limit to the precision.

@andresmartinezramos7513 5 ай бұрын

It is because of floating point errors

@reed6514 7 ай бұрын

I'm here for cute bug

@stdm7964 6 ай бұрын

This is how my brain feels 3/4 of the way through a 16 hour flight

@UKUSA 7 ай бұрын

This explains the Big Bang, cosmic strings structure and more.

@Axcyantol 8 ай бұрын

I love the results!

@ankushds7018 7 ай бұрын

The line on the center that only occasionally closes up is Life

@davidallen5142 7 ай бұрын

Psychyatrist: what do you see?

@rocketfamilykml2528 7 ай бұрын

There is an absence of collisions between the balls. That would make everything more chaotic.

@ragtimegalcatty 7 ай бұрын

It's like watching a beautiful dance 😊

@kikaidaboy 7 ай бұрын

nice version of Footprints

@morganfern29 4 ай бұрын

This is so stisfying to watch. This kind of reminds me of fireworks. I love this. This would be a really pretty screen saver for s computer.

@TD_JR Жыл бұрын

Pretty cool - now include collision physics for each ball.

@jaredloveless Жыл бұрын

Lol yes. They are flowing as if they are not bumping into each other

@kaelandin Жыл бұрын

That’d take quite a lot more processing power, and time.

@colorado841 Жыл бұрын

I saw a cute bug climbing up the wall of my house. It would climb up the wall and teleport down, and then climb back up the wall.

@michaelzapletal4638 4 ай бұрын

The itsy-bitsy spider ...

@calithyde5346 6 ай бұрын

I was expecting to see a picture of beetle or something and I was like wow simulations and insects in one video, the algorithm understands me. But alas

@alexhaplau-colan5414 5 ай бұрын

You should sell your videos to schools for kids to see the beauty of simple mechanics. Magnificent videos, congrats!

@thealkymyst 8 ай бұрын

It looks like my parents fighting. Or a multicolor version of a psychiatric inkblot.

@AS-ws9pp 7 ай бұрын

Try adding a collision model in the next videos. Interesting to watch too!😊

@tomahzo 7 ай бұрын

Seems to neat to be physically accurate (maybe I'm just used to some degree of randomness) but the visuals are stunning no matter what :).

@DH-rj2kv 7 ай бұрын

Has nothing to do with physical reality. It assume perfect shapes, perfect homogeneity, perfect transmission of energy etc. And it is 2-dimensional apparently 🙂

@Listenandchillzz Жыл бұрын

Really mezmerizing

@tamyuchingtyc 8 ай бұрын

watch the rainbow, taste the rainbow

@pekkajahkonen1308 Жыл бұрын

This is waste of time and electricity but better than most hobbies today

@Awesomes007 8 ай бұрын

I bet I’m seeing this because I love Tool’s song Parabola.

@Zaun999Getsu 8 ай бұрын

This must be what the eye of sauron looks like from the inside of the astral tertiary circuits of celebrimbor's solar plexus.

@PolishRepublicYT 7 ай бұрын

2:12 a cute face

@DrJigglebones 8 ай бұрын

it'd be cool to see this but with the initial circle colored like a normal map texture of a smooth round object

@LabdalockVelheimr Жыл бұрын

the parabula: 6/10. felt kinda repeating. the circle:9.5/10. it had chaos, but it also had a pattern.

@roybatty- 8 ай бұрын

Non diminishing gravity.

@RoblockBlox Жыл бұрын

that will be the new supernova

@proustfan 4 ай бұрын

0:14 this is how CMB temperature anisotropy is made Also I like how the music just starts with the harmonic series.

@Peaserist Жыл бұрын

What happens if you drop balls on a brachistochrone or cycloid curve?

@knownas2017 Жыл бұрын

What happens if you reverse the momentum on them? Will they, basically "rewind", and return the starting point? If so, what happens before the simulation even started?

@michaelweiske702 Жыл бұрын

@Known as if you did reverse the momentum, the balls would go in reverse, yes. Momentum is just velocity times mass, and since mass can't be reverse, velocity would have to reverse with the same magnitude. If you did go all the way back to the beginning and ask "what happened before?" You would consider that at the start, all of the balls had zero speed with just one force acting on them, the downward force of gravity, which means that before they were stationary, they had to be moving up.

@knownas2017 Жыл бұрын

@@michaelweiske702 Because they've bounced, and the fact that they eventually split apart, that likely suggests that, there's a position that results in that situation, that isn't all together like it is. Which begs the question; Is it a loop? And, what does the pattern before this happens, looks like? It's very interesting, I think.

@vargas2k2 9 ай бұрын

As an mma fan i cant grt over the fact that there is a dude named Alexander Gustafson who is into math and physics

@kilroy987 Жыл бұрын

Interesting how we consider one harmonic and the other chaotic.

@vlarx265 Жыл бұрын

If we can see pattern we are used to call it harmonic. It's our brains with their pattern recognition system doing all the work

@user-fg3yr9bo5o 3 ай бұрын

Is it just me but it’s so trippy

@michaeloltman1636 5 ай бұрын

ah, "footprints"... nice :)

@chettymarks Жыл бұрын

Where was this in the 80's when we were doing acid? lol

@styx85 7 ай бұрын

Alexander Gustafsson really did a hard pivot after he retired from the UFC 🤯

@ordenax 7 ай бұрын

Art in Maths

@alexandremaciel8072 6 ай бұрын

LSD trip simulation

@Retired_Detective51 Жыл бұрын

Omgosh every one of those shapes after the bouncy looked like my dad slapping my mom after he came home from playing pool drunk, except one which looked like our social worker who insisted that I called her by her first name Debbie. How does he get them to do that, so pretty.

@Hachikii 7 ай бұрын

This is a great work but it's making feel sick

@user-kv5fw7xz9c Жыл бұрын

Oh, this is so cute buggie! 🐞 I love insects. ❤️

@Philippine_Navyist16 Жыл бұрын

???

@cyborghenry3825 Жыл бұрын

@@Philippine_Navyist16 dont worry, just another stupid bot

@blackyy_33 6 ай бұрын

can't trust this as balls will collide each other and will lose its shape, like shown in the video

@NetanyahooWarCriminal Жыл бұрын

We dropped a pumpkin off of the school once

@bwoooooooooop Жыл бұрын

Can we please see the differences between different curves? Like x^2 and x^1.998^2? Something along those lines haha

@Quantainiumify Жыл бұрын

All parabolas are the same just with different amounts of zoom.

@natereinert1572 Жыл бұрын

@@Quantainiumify x^1.998 isn't a parabola

@Quantainiumify Жыл бұрын

@@natereinert1572 the ball would bounce once then be off the frame forever. great video.

@akunog3665 Жыл бұрын

@@natereinert1572 yes, there is no real solution to (-2)^1.998, as the answer is approximately the complex number, 3.99438 - 0.0250978 i However, you could take the solutions for positive x values and mirror them about the y axis to get what you are wanting. If i recall he did do x^4 before.

@noahgraber9339 7 ай бұрын

I swear to god they design the urinals as parabola with foci right where you’re standing on purpose so you get piss all over yourself. Also I love Juju Wayne Shorter was the goat

@MrMichkov Жыл бұрын

This would be great with sonification. Perhaps give each colour a note and have it play upon contact.

@NickWrightDataYT Жыл бұрын

Hey, so what's, uh....what's happening there at 1:35 and 1:48?

@animations_ag Жыл бұрын

It's just a cute little bug in the code revealing itself. Somehow, some balls decided travelling forward in time and move backwards, and I have no idea why.

@NickWrightDataYT Жыл бұрын

@@animations_ag I absolutely love that lol

@user-pr6ed3ri2k Жыл бұрын

o I didn't even see what was wrong without the comments lol

@CatMowpurr Жыл бұрын

@@animations_ag cute buggy wuggy 🐛

@acompletelyawesomenameyay2587 Жыл бұрын

could you do one with a catenary curve? y=cosh(x)

@WRXDannyW Жыл бұрын

Very cool. Do you publish your code to generate these animations somewhere?

@nandin1997 Жыл бұрын

I'm pretty sure after the initial position and velocity of the balls the simulation just applies a gravitational force, and reflects the velocity of all balls upon contact with the parabola, it would be pretty easy to model

@WRXDannyW Жыл бұрын

@@nandin1997 Yes I agree the mathematical problem is straightforward but it would still be interesting to see the Python code that generates the animation. Maybe one could spot the issue causing the reversal mentioned in the description 🙂

@pierrekermagoret4433 Жыл бұрын

@@WRXDannyW I tried to do it on python, so yes calculate the movement is easy. But over 10balls my computer is running so slow (python turtle)! So how to do a 100 or 1000 balls simulation ?

@WRXDannyW Жыл бұрын

@@pierrekermagoret4433 Use all your cores? You might consider using Python's threading utilities. The balls do not look like they are interacting so each one is on an independent trajectory. It would thread perfectly right.

@GRAYgauss 7 ай бұрын

Don't use python threads like this, it's not the python way - not a fast enough language to think like this. If your isolated python logic is getting slow single threaded where you know native performance is better, it means you should probably lift the inner logic out of what should be glue - use an accelerated lib. Threads in Python are tricky for the GIL and should only be used after ensuring you need threading by profiling/etc...If you want python threads for perf, something is off, and when you want threads otherwise 9/10 you want async. Processes are a solution, but clunky and belay little benefit considering how the problem can scale - it's just not the way for this. If your python turtle code is slow don't accelerate the python abstraction over graphics just bypass it. For this solution using arcade to build a simple compute shader would yield realtime performance for millions of particles. You could even write an n-body sim with upwards of 150k full-neighborhood calcs. Simply using an arcade SpriteList would avoid needing to write GPU code and would get you ~8000 objects because it internally batches draw calls. Turtle, being designed for educational purposes, is basically like running your GPU and making it wait on a python debugger. Even if his calculation code was blazing fast it would hardly make a difference and you can't thread turtle. @@WRXDannyW

@sal_8 7 ай бұрын

Holy Moly

@-_.unoki._- Жыл бұрын

my brain hurts for watching

@therocinante3443 Жыл бұрын

..This is how the shapes are made. Do this with 500,000,000 particles, and I'm convinced you'd see every shape there is to see if you let it run for an infinite amount of time.

@therocinante3443 Жыл бұрын

And thanks for putting me on to Wayne Shorter. Good look.

@BOBMAN1980 4 ай бұрын

I take it the simulation didn't program the balls as a factor to bounce of. Otherwise, I think the whole thing would've gone into complete chaos by the 2nd interation.

@picosoft2033 Жыл бұрын

please teach us how to simulate this awesome things🥺

@WHOisCOLEMAN 7 ай бұрын

want to see without perfect elasticity and with ball-to-ball collision interactions

@kennyotsu4357 Жыл бұрын

Parabola doing parabola things

@cucun1q 7 ай бұрын

Its awesome dude how dis you do this

@deltab9768 8 ай бұрын

Does this simulation account for the balls bouncing off of each other? Or just bouncing off of the parabolic surface? I’m thinking it’s the latter and that if you could simulate deez balls colliding with each other at the focus it would become chaotic almost immediately.

@scarzed 8 ай бұрын

you're right it is just bouncing off the white surface

@SOBIESKI_freedom 8 ай бұрын

"Off of"?

@gibbogle 7 ай бұрын

@@SOBIESKI_freedom On and off.

@gibbogle 7 ай бұрын

@@SOBIESKI_freedom Americans say "off of", but British people (and their colonies) just say "off".

@SOBIESKI_freedom 7 ай бұрын

@@gibbogle Sickening, isn't it?