Quad Trees
Split on all (two) dimensions at each level
Split key space into equal size partitions (quadrants)
Add a new node by adding to a leaf, and, if the leaf is already occupied, split until only one node per leaf
quad tree node
Quadrants:
0,1
1,1
0,0
1,0
quadrant
0,0
1,0
0,1
1,1
Center
Center:
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