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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“In your he-ad, in your he-ad…” The old Cranberries anthem, synonymous with Ireland’s 2023 World Cup campaign in France, will be heard a few more times over the next month if Andy Farrell’s team maintain their revitalised excellence and no-nonsense physical intent. For England’s players, though, the past two weekends have been truly grim, a return to the bad old days they had dared to hope were over.