Eternal Struggle

Not to alarm anyone, but when I ran this, the black ball eventually joined the dark side and the whole thing ended up black. I’m sure this doesn’t mean anything for the greater universe.

> vibe forked a speed control slider

Very on brand, it does not work correctly. I can turn the speed up but not back down again.

Of course we want to make a ball faster than the other one and let it win the struggle.

This vibed coded implementation is buggy.

If you go to 64.00×, it can't slow back anymore.

Interesting data point on the vibe coding front, as this is very buggy. Doesn’t bode well for releasing an agent on a non-trivial problem!

It looks like it converges to a normal distribution curve with white being the area under the curve.

At fast speed I see a trail of the circles. What gives?

Thanks :D I did really want to know what kind of shape it would tend towards over time.

Running 100x for some moments, the white part got pincer maneuvered by the black and I ended up with the whole circle becoming black. Don't know what to think of that lol

It seems there is a parallel with physics: two pressurized chambers with equal pressure and a membrane separating them. The odd thing here is that there is only one molecule in each of them.

There are stableish equilibria that are not 50-50, e.g. one color having a donut around the other color that has a donut hole.

It's amazing how stable it is. It's been running in a background tab for a hour now, and it still has the yin/yang look.

But you can say the same thing about a circle with a straight line as separator.

I think it misinterpreted what kind of tunneling you were cheering on.

The darkness has come upon the world!

Had the exact same bug! Not so rare I think.

Hah! I was wondering if that was possible.

The coming of Satan is foretold!

It went to the dark side.

We'll put that link in the top text as well. Thanks!

Same, if one of them punches through in one place, that hole shapes the angle of the bounces and reinforces itself and the other side fills in around the hole.

If you tap on the ying-yang it starts.

People are responding to you saying that it doesn't retain the yin-yang shape, but I've been watching for a while on 64x speed, and the yin-yang shape is one it repeatedly returns to.

I'm not even a dimwitted individual with an advanced degree in hyperbolic topology, but I can see what's happening intuitively. When one of the balls makes an indent large enough, that indent focusses the bounce from the circular edge which reinforces the indent further. This leads to a semi-stable shape where one of the balls is bouncing around a horseshoe and the other in a tunnel. However, if one side of the horseshoe becomes pinched small enough that ball is less likely to enter, that side of get eliminated, and you have a yin-yang.

More simply, the round edge seems to encourage tunnelling, and any asymmetry in the tunnelling is yin-yang-ish.

It doesn't. It quickly just becomes a random curve after a few minutes at normal speed if you leave it open.

For obvious reasons it tends to stay half white half black (if one half gets smaller its ball will bounce faster) but the shape and its orientation varies randomly.

I think it’s just random chance. I haven’t run any simulations or anything, but I suspect the YY curve is no more stable than any simple 50-50 split. I bet over large timespans the YY curve straightens out just from entropy.

It doesn't. Seems to be like a lava lamp until one ball breaks thru. See the other comment with the console command to edit the speed.

Here is one sample taken after 5 minutes.

https://d6f9e5179057.s3.us-west-2.amazonaws.com/Screenshot%2...

You can execute this in the devtools console:

data.whiteBall.v.x = 5; data.whiteBall.v.y = 5;

data.blackBall.v.y = 5; data.blackBall.v.x = 5;

It'd be interesting to see how the visuals change when you're viewing the path, rather than a filled area.

Not seen one of these tables with two balls in... You'd probably need quite a lot of height to offset the linear sliders so didn't collide with each other.

Mine broke even without speeding up things, the black ball is now working together with the white ball.

More spherical.

You are already at limit of infinity.

I too am impatient to learn the logical conclusion of “eternal struggle.”

An edge point's probability of being hit should be proportional to the length of every path leading to that edge point. An area closer to many short black paths and many long white paths will show black expansion (and vice-versa). So I suspect that any variation of the central line from a straight bisection of the circle should get hammered out over time.

you can run frameRate(x) in your browser's console to speed it up a bit - might be limited by your monitor's refresh rate though

you can keep tab open and check in few weeks.

I see that you haven't seen alphaPhoenix' video about reverse game of life. I highly recommend it.

How on phone?

To me it's working backwards though. i.e. the black ball is creating more whitespace and visa versa. It's not immediately evident to me why that would be the case.