Quadtrees are everywhere spatial data exists. Mapping services use quadtree-like tile pyramids to serve map tiles at different zoom levels (Bing's quadkey system, for example, addresses tiles as base-4 paths). Game engines use them for collision detection and visibility culling. Geographic information systems use spatial indexes to store and query spatial datasets. PostGIS uses GiST indexes (R-tree-style) for spatial queries on geometries, while PostgreSQL's core supports quadtree-like SP-GiST indexes for certain data types like points.
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Rolls-Royce, the engine-maker and defence firm that is spitting out so much cash it can shove £7bn to £9bn towards buying back shares over the next three years, would like UK taxpayers to find a few quid – reportedly up to £200m as a first slug – to help fund one its big bets. The company would “appreciate” financial support from the government to smooth work on a new engine, says its chief executive, Tufan Erginbilgiç.