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An R+ tree is a method for looking up data using a location, often (x, y) coordinates, and often for locations on the surface of the earth. Searching on one number is a solved problem; searching on two or more, and asking for locations that are nearby in both x and y directions, requires craftier algorithms.
Fundamentally, an R+ tree is a tree data structure, a variant of the R tree, used for indexing spatial information.