Regions with many nearby points keep subdividing. Regions with few or no points stay large. The tree adapts to the data: dense areas get fine-grained cells, sparse areas stay coarse. The split grid is predetermined (always at midpoints), but the tree only refines cells that need it. Sparse regions stay as single large nodes while dense regions subdivide deeply.
Perhaps that’s the biggest irony of all. Space is huge and mostly empty—and yet there’s no easy way to throw things out.
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Feel free to tell what you plan on doing this weekend and even ask for help or feedback.