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  "body": "\n## Summary\n\nA polytope is a geometric figure with flat sides: a polygon in the plane, a [[polyhedron|0325SGSJAR]] in space, and their analogues in any dimension.\nThe word is used with several meanings.\nIn convex geometry and combinatorics it usually means a [[convex polytope|300K6CB1KH]].\nIn the wider sense used here, a polytope is a finite union of convex polytopes, so it may be non-convex.\nFurther generalizations include star polytopes, whose faces may cross each other, and abstract polytopes, which keep only the incidence pattern of vertices, edges and faces.\n\n## Explanations\n\n### L1 human\n\nPolytopes are the shapes built from flat pieces: triangles and squares, cubes and pyramids, and the four-dimensional hypercube.\nA polytope need not be convex: an L-shaped region made of three unit squares is a polytope.\nCurved shapes such as discs and balls are not polytopes.\n",
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