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This is fantastic! Well done.

How are the pendulums plotted? What are the axes?

Shaped like a word bubble in the comics. What's it trying to say?

Fake af

Fact you all see everything in 2D because your mobile screen is 2D

This is SO COOL

I wonder if it keeps this stability forever or at some point it would become unstable

What creates the island of stabilty? Is there any attraction or influence between those?

RUclips's compression algorithm: am i a joke to you?

ah so this video is not about Steam?

Awesome

Great animation! Although I'm still struggling to distinguish topology from metric

The human process is logic made

Man how do you find out this stuff and then put it in a format that others can understand, this is truly crazy.

Does this work with any other combination of pendulum starting positions (aside from its mirror) or is this the only stable island?

bow thrusting

You systematized chaos. You madman. Oooh! It's a schooner!

if you could keep the camera still in the klein visualization it would be perfect

This makes the bifurcation diagram

resonance has caused the island double pendulums to behave more like single pendulums

Great advance. Now imagine that you can calculate the "island" without simulation, just with pure mathematics you could define something like a "fractal" of stability (this area (island) accoding to the formula is stable).

Whut😮

@Andrew's Campfire Is this simulated as if in vacuum?

a 2d being would see in 1d. if they could see a triangle, or square, they would be able to see a side hidden by another side of the square. its why we can only see 3 sides max of a flat cube. (unless transparent) you could say that we see in "2d" ish, like how in super mario 64, (and most games) the landscape is made of 2d triangles. imagine that, but the amount of "triangles" is like a million times higher. a cube could be shown as 6 triangles, or three squares that shift in scale and color to give the "illusion" of 3d. thus a 2d being would see in 1d, because most of the "2d representations" have a 2d plane, and the apparent "view" which is positioned outside the 2d plane. this also implies 2d beings can see themselves, witch 3d, 4d, and any other being couldn't do. (without a mirror) what 1d beings see in? hard to say. i think they see in dots, but thats my guess.

Just trying to understand this better. The conditions were no cutting or glueing. To me when it sort of melts, it is akin to gluing. Two different parts of the same surface kind of morphing into the other. It's like it is gaining length and losing breadth. I don't even make sense to me so yah anyone explain this better. Lol. I can see it and can't see it at the same time. 😅

Please keep uploading

Math is truly beautiful

It looks like a ripple within a storm…

I saw it as a cube at first

This wordless video is worth a thousand words. I think it would also be interesting to see it in logarithmic time. Nothing lasts forever, but some things last orders of magnitude longer than others. Of course, at an accelerating time range, it would soon become impossible to discern the motion of individual pendulums, so some other rendering would be necessary. Perhaps a single “has it flipped over yet” bit, but there is probably a better way.

Möbius would be pronounced "meh-be-us" because it's German (it's hard to explain how to pronounce it exactly).

RUclips put this video in my music playlist. I guess it's a music video?

I'm on the right side of youtube.

An excellent visual demonstration of entropy.

How about starting at the same point, but changing the pendulums a bit. Should give a comparable but different picture.

i wonder if one could ever re-harmonize back into stability... maybe not on their terms but in its own stable

Incorrect, Linus can only see a dot.

I thought it was a cube from the start 😐

Bro this was only 1 minutes long, but thousands of infos sacked

My brain hurts

Yep, this is soothing

the Mandelbrot set is in here somewhere, I just know it

it was a cube all along

it does look like an island :D

GUYS EXPLAIN TO ME THE LAST 10 sec of video WHATS FOING ON

watching this at 12am makes me dread life in general idk why. this feels like a simulation

I see small clusters of semi organization passing energy around. Almost looks like they’re responsible for maintaining the structure in the center.

There is no many body interaction, it is no a complex problem in physics. This is a reflect of computer behavior. Cache memory and spatial and temporal reference locality, the cycles inside of processor or clock or ... try making a simulation in other computer.

God

THATS SUCH A COOL VISUAL REPRESENTATION WHAT THE FUCK???