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The tree is rebuilt every frame. For scenes of this scale, quadtree construction is fast enough to rebuild from scratch each frame, though larger simulations may benefit from incremental updates. Each particle queries its neighborhood for potential collisions, typically checking only 5 to 15 candidates instead of all 40. Red highlights indicate colliding pairs.
You might ask: why not use the actual time? Unfortunately, accurately syncing clocks between two computers is an extremely hard problem. Using incrementing integers like this is one simple version of a logical clock Logical clock - Wikipedia en.wikipedia.org/wiki/Logical_clock , which captures the order of events relative to each other rather than to the “wall clock”. ↩
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