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How do you convert the angles to the color? you only use Red & green?

Aggregorious.

Please somebody provide me its python code

2:10 When Sauron gets a bit too high

"This took 6 hours to render" *source code is in python* checks out

フラクタル、素晴らしいですね

Can you use it as a hash function?

dragon egg fr

Amazing

a very good and valuable work. maybe we can imagine the "Wirklichkeit" behind the reality. a sea of possibilities, they can all become real. Every point is an "Wirks" (according to Heisenberg and Dürr), a particle of effect, which is displayed to us like waves. Everything is vibration, everything is potentially possible. The laws of physics coagulate from this.

THE PENDULUM HIT THE "WOAH" 0:57

Some ideas: (A) 0:53 shows the state space is connected like a torus. You could put 9 copies of your 1:45 time evolution animation into a grid so you can see the connectedness at what are currently the "edges". (B) For any given state or subspace of interest, such as the "mostly stable" region, you could highlight when the system gets near that state or subspace via a different color mapping - instead of having a continuous mapping, make just two colors with a very brief gradient, and assign one color to all the angle states that are inside / close to the state of interest, and the other color to all the states that are outside. Then on the time evolution picture you will more sharply see when a subset of all the initial pendulums reaches that state of interest.

even in chaos, we can find order

Very cool.

1:58 this gave me an idea. Because of how absolutely chaotic the fractal is, it will shuffle through every possible combination it can, however it I see limited to a few colours and we only have a few pixels. There is a chance (thanks to it’s limited pixels) that they will all fall into the same pixel colour with every position to be the same. The chances are near 0 but not impossible.once it happens everything will be one colour, still unpredictable but much easier to calculate.

I suddenly realised that no matter the apparent color noise this color change is continuous and my brain started to melt.

If this is not some god like being fucking with us, then what?

Since the chaos of two revealed a commonality represented by a vesica piscis, would a triple pendulum produce commonalities representable by something resembling a triquetra? There's something harmonic appearing here despite the chaos. I suspect a vesica piscis would appear in many similar scenarios involving two component chaos. I wonder if the border of the central shape changes to match the equation. Very fun stuff, worth further investigation. Thank you.

Beautiful waves going on... this can be used on games or 3D rendering for water/weather?

Me: Enjoying the smooth fractal My computer: AAAAAAA

An amazing representation of what a migraine looks like (Pretty neat tho)

the fact that u can see the regions of chaos>>>>>>🥴

awesome work, dude!

An interesting variation would be to visualise how sensitive a certain initial condition is to perturbation, or more loosely spoken, how quickly it succumbs to chaos. This can use the same data, no recomputation needed. (it's a static image however)

don't you need four numbers to describe a double pendulum, positions and velocities?

I can do something very much like this with my Fractview app, which is free and open source. It's really a load of fun! 🎉

Need. More. Pendulums.

The 3b1b style is really good

next time make fractal zoom there

I dont understand any of this but atleast it looks cool

Yeah but why the music hit so hard tho

Bro made the 7th color, congrats.

how carts feel

What it we called it a "ten-dulum"? That would be funny, i think.

Look at that it looks like dancing legs from a rig doll lifted up. At 0:20

this must be how samsung makes their wallpapers

Looks like cell division

I wonder, where does the "fractal" from the title come into play?

what did I learn from this vid

What's in x and y coordinates in the final colorful diagram?

3blue1brown

because you my precious little bitch boy- are tripping baaalls

I wonder what kind of fractals we could come up with if a damping term was added, so that the pendulum eventually comes to rest. Perhaps color the pixels depending on how many rotations one of the angles goes through, or how long it takes to settle within a certain range close to the resting position.

I’m getting three brown one blue vibes

2:10 I swear to god I can’t go 5 seconds without my dirty ass brain thinking this shit a cosmic vagina

Is it weird that I can taste this videos thumbnail.

how is this a fractal?

aw hell nah they making a new deoxys form 💀

No gravity?