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Eternal Struggle

(yoavg.github.io)
675 points yurivish | 1 comments | 31 Aug 25 19:04 UTC | HN request time: 0.227s | source
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MrJohz ◴[31 Aug 25 20:26 UTC] No.45086773[source]▶
The cool thing about this is that it's self-balancing - if either side gets larger than the other due to random chance, the ball in that side will have more space to bounce in, and therefore bounce less often, slowing its growth. Meanwhile, the ball in the smaller side will bounce more often in its smaller space, making up the ground.
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SonOfLilit ◴[31 Aug 25 20:49 UTC] No.45086951[source]▶
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.
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1. istjohn ◴[31 Aug 25 21:13 UTC] No.45087148[source]▶
Yes, because it's not actually area that balances out but mean time between bounce against the black/white boundary.