The quadtree is the two-dimensional case of a broader family of space-partitioning data structures. Octrees extend the same idea to three dimensions (splitting cubes into eight children), KD-trees use alternating axis-aligned splits (splitting along x, then y, then x again), and R-trees group nearby objects into bounding rectangles. Each variant makes different tradeoffs between construction time, query speed, and update cost.
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Real game engines use this pattern (or its 3D cousin, the Octree) for broad-phase collision detection: the quadtree quickly identifies candidate pairs, and a more expensive narrow-phase check tests the actual geometry.
Medical research
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They were sent off on their first attempt by members of the Air Ambulance
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