FT App on Android & iOS
The pruned nodes (in red) represent entire regions of space that the algorithm never examines. The points inside those regions are never checked. Compare the "Nodes Visited" count to the total number of points. The quadtree is doing far less work than a brute-force scan.
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Appendix I: Candidate Sorting
No Pokémon meme captures the internet's favorite emotion — aka "performative shock at predictable consequences" — better than Surprised Pikachu.