👉 In mathematics, a polytope is an n-dimensional geometric shape that can be thought of as a convex body with finitely many facets. Polytopes are fundamental in geometry and topology, providing a natural framework for studying shapes such as squares, rectangles, triangles, spheres, cubes, and more.
Polytopes have several key properties:
1.
Convexity
: A polytope is always convex if it has no holes or closed faces.
2.
Symmetry
: Every