polytope
Quick Summary
In mathematics, a polytope is a geometric object that generalizes concepts like polygons and polyhedra to any number of dimensions. Essentially, it's the convex hull of a finite set of points.1
In simpler terms:
* A 2-dimensional polytope is a polygon (like a square or triangle).
* A 3-dimensional polytope is a polyhedron (like a cube or pyramid), which is made up of polygonal faces, edges, and vertices.2
The study of polytopes, particularly their combinatorial properties (how their faces, edges, and vertices are arranged), is a significant area within combinatorial geometry.1
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