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  "body": "\n## Summary\n\nDiscrete geometry is the part of geometry that studies finite or discrete configurations of simple objects, such as points, lines, circles, polygons and convex bodies.\nIts questions are combinatorial: how many incidences, distances or intersections such configurations can have.\nTypical topics are [[tilings|GKJK293DXS]], [[sphere packings|HF32CBN5MA]], [[polytopes|QP7GEKDTYX]], incidence problems and geometric graphs.\nIt is closely tied to convex geometry and to computational geometry.\n\n## Explanations\n\n### L1 human\n\nDiscrete geometry asks counting questions about shapes placed in the plane or in space.\nHow many pairs among $n$ points can be at distance exactly $1$?\nHow many lines through at least two of the points must there be?\nHow densely can equal coins be packed on a table?\nSuch questions are easy to state, but many of them are still open.\n",
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