One embodiment of the present invention is directed to a multi-dimensional and geographic-search system that includes a search-region-receiving component that receives coordinates that define a region to be searched, an indexing component that generates an index for each of the received coordinates, a recursive-decomposition component that decomposes the region into sub-regions based on the indices generated by the indexing component, and a search component that selects points of interest from a points-of-interest database by comparing indices computed for the sub-regions to indices computed and stored in the database for each point of interest. Additional embodiments are directed to carrying out efficient, index-based searching for various additional types index-characterized entities.