We wanted a scenario where, say, 5 well-placed border points could efficiently represent an area with 5,000 internal points and 10,000 road edges. This would reduce those 10,000 edges to just 5*4/2 = 10 shortcuts for routing through that cluster at a high level – an incredible 1:1000 point ratio and a 30x reduction in edges to consider for the high-level path!
"You wish there was some telepathy and you could reach out and be like, 'listen, we're coming'."
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With these elements, DTF St. Louis looks anything but normal from across the street. But in a disappointing reversal of the show's oft-repeated mantra, the closer you get, the more frustratingly conventional it becomes.
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Now that we can build the tree, let's use it to search. Finding a specific point means starting at the root and asking: which child quadrant contains this coordinate? Then you recurse into that child and ask again. Each level of the tree cuts the search space by roughly three-quarters.