"Brick territories" experiment.
Try it here : https://bleuje.com/js_sketches/brick-territories/
A gif from Jagarikin in 2021 was already showing a similar experiment with 2 balls.
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@bleuje wow this is super cool!
@bleuje this is super fascinating. It's like a kinetic voronoi diagram. I would love to see a time lapse of where the average ball position is and what the voronoi diagram at that point would be.
@bleuje sooo cool! VORONOI!
@Otimsis @bleuje I think not exactly Voronoi. My intuition is that you are not going to get cells defined by closeness to some center point (Voronoi, but where is the center?) nor even equal-area cells, but rather cells that equalize perimeter * mean free path length (which controls the rate at which the boundary is replenished).