Triple and quadruple pendulums at almost the same starting position 

When they divide: 🌈 2 seconds later: 🎉🎊

We've been chosen by the algorithm

“It’s not a matter of if. It’s a matter of when.”

Hide the black lines and you will have a very interesting screensaver

Im not smart but I kinda like this.

1:13 just looks awesome

1:33 Blue: "Mom, look! I draw a pee-pee"

0:50 everyone kinda still be following the same patter. PURPLE

And that's why we can't actually predict the weather

Woah, this is pretty sick.

for anyone wondering: they cant all be in the same place or they wouldnt separate from one another

this is, in a nutshell, why it's so hard to predict the weather

you know the other three look like they all hanging together, then purple doing backflips and shi and having the time of their life

I love how chaotic it is but satisfying at the same time.

0:40 I'm amazed by how long this one stayed somewhat together

That's what I mean when I say that small change can end in an absolutely different result

I just had an amazing idea: Step 1: Run a simulation like this one. Step 2: Get some neat 3D models of birds, or faries, or dragonflies or something. Step 3: Link the models' positions each to their own triple (or quadruple) pendulum, with each model being the end of it's pendulum. Step 4: Animate the models to appear flying and add background details like land rushing past and clouds. It would look super cool, like they're flying together as a team; swooping up and down, side to side. I'd love to see something like that!

Animation: Is interesting Me: spoder 👁👄👁

A great representation of chaos, how small changes in initial starting conditions can create a sparatic almost unpredictable system.

For those who don't know, this is basically an example of the Butterfly Effect. There's plenty about that on RU-vid but in short it means that a small change in the initial position can impact the trajectory by a LOT as can be seen here. The ∆0 (where 0 = Theta = Angle in Radeon) is the angle difference between each line which is very very tiny (0.001) Yet that tiny difference makes a huge impact later!

Netflix when have to give a backstory to a side character: 1:14

This is a really cool animation

The algorithm strikes again with another delightful video :)

0:57 Every other colour: *Staying somewhat near each other and forming a cool pattern* Purple: I missed the part where that was my problem.

this video delivers

Architects: This data is worth millions!

Nobody: People in 2017: 0:06

Time to break out Lagrangian and Hamiltonian mechanics

the universe runs on this system

I could watch these for a long time

Look at all the pretty colors!

I do not comprehend, but I do like. Take my like, good sir!

My sleep paralysis demon practicing his new dance like:

That initial split is so satisfying

Everyone: " thats cool!" Me: "what the heck is this?!"

the purple one each time is always like "fuck y'all I'm too cool" and separates from the other colours

Look at Purple just being themselves. You go, Purple.

youtube will reccommend this 9 years later

This is gonna get recommended to everyone

Ah chaos, I love you

good shit bru

I'm impressed with the 0.0001 radian differences. So tiny. And the cpu gets em right.

This is really good visual of how small changes can have really different endings. Hello multiverse timeline

I think this all means something but I just don't wanna find out

The video I didn't know I need

i like this video a lot idk why

It would be amazing to loop parts of these sequences, generate new ones, alter their speed, numbers or arms, offset, etc, to modulate MIDI parameters. The patterns are really beautiful, with how they blossom and decay, and I know they would work as a modulation source.

There's a symbolic nature to these pendulums I feel is important for self reflection. The frequency of our lives in relation to others can be aligned at first, but the slight misalignments, the intricate details of our ebb and flow allow us to play by our own rhythms. We come and go on our own journeys to make something wild, yet beautiful to behold. So let's make these fleeting and unpredictable lives worthwhile.

*all pendulums are aligned* Every pendulum 5 seconds later: but i'm different 👁️👄👁️

As they say "Absolutely Beautiful!".

Did you use explicit time integration or implicit time integration? Which method? The choice of method and the discretization scheme can greatly affect the result. Compare, for instance logistic map to logistic equation, where the former is discretized version of the latter by 1st order explicit forward Euler scheme, causing (beautiful) numerical issues.

A beautiful demonstration of the butterfly effect :)

This shows the theory of the smallest common denominator. A principle in mechanics that can be seen all throughout nature. It shows that prime numbers are inherently linked to the fabric of the universe, as pi links them all through relationships hidden in the irrational plane. Jk, you know what this is actually about. I just wanted to provide an alternative to the 100s of comments pointing out the obvious

This tells us so much about life!

The spider is an artist

Spider QWOP

I don't know what I've just watched but it's cool

Deterministic chaos is awesome

#doubt I have a doubt, where exactly did I use the delta thara, was it from the static hinge or one of the free hinge

"Small errors in input may cause big errors in output"

This is pretty much a visualization of my theory of the universe.

It be a spurder

I wonder what adding more realistic rigidity, i.e., tiny spring constants, would do to the phase space. Of course it would shrink, but how?

This is the most unsatisfying thing ever aaah

0:53 other colors: do a flip purple: say no more fam

Interesting, there seems to be a rather clear transition from mostly synchronized motion to chaos in all the examples. Are there any theories that model these transitions?

It'd be neat to see this in reverse, so they all converge instead

"Yo purple doing some crazy shit"

is this how they create explosion software?

Each initial state so slightly different causing such insane changes is so fascinating. If you trace back the entire universe where does our initial state begin? The infinitely small and dense point that exploded into The Big Bang?

Thanks mr Algorithm

now that is chals

Even with just 2 segments the pendulum becomes chaotic, so 3-4 gets pretty unpredictable

This is how the people behind Mario Kart designed rainbow road

Makes me wonder if there's enough pendulum configurations to draw out basically any shape to any desired precision. Kind of like a Fourier transform I mean.

Smart spider be like

It's actually crazy to think about how this applies to life - the slight change in position of the pendulum is analogous to minor decisions you have made in your life becoming hugely impactful in the future. Imagine if you decided to skip breakfast one day, or leave one minute later, or even breathe an extra breath...one scenario could have led you to become a billionaire while the other could mean you end up dead. How in control are you really? The butterfly effect.

Tis art

0:06 - Companies on May 31 0:07 - Companies on June 1

No one: Companies as soon as june begins: 0:06

They remind of the beldam’s fingers in coraline

I don't actually understand what this is even supposed to be but damn it's so satisfying.

What a funky squid!

Is it possible to calculate if it will ever return to its original position (i.e. will it "cycle")?

You can view human life in the way these work...

The butterfly effect

This is what they should be showing kids in school though. ITS AMAZING.

Why is this random stuff so interesting?

I just got reverse clickbaited lol, I was expecting at most a quadruple but we got pentuple

We are the chosen ones

Yt : wanna see some pendulums? Here you go

Which software did you use to make this. Please tell

Makes me think about the saying "Man plans and God laughs".

True.

Normal karate = 🤛🤜✊👊 Main Character’s Karate =

interesting how the first quad pendulum stayed in sync for longer than the triple pendulum

Question, what would be the application of testing something like this? Like what would you use this for and do with the information you get from a test like this? Or is this just a simple fun experiment xD

The long legged spider in the corner of the room:

When people run but don't know what to do with their arms...

I wish this was my desktop background