Editing Discrete geometry (section)

===Polyhedra and polytopes===
{{main|Polyhedron|Polytope}}
A '''polytope''' is a geometric object with flat sides, which exists in any general number of dimensions. A [[polygon]] is a polytope in two dimensions, a [[polyhedron]] in three dimensions, and so on in higher dimensions (such as a [[4-polytope]] in four dimensions). Some theories further generalize the idea to include such objects as unbounded polytopes ([[apeirotope]]s and [[tessellation]]s), and [[abstract polytope]]s.

The following are some of the aspects of polytopes studied in discrete geometry:
*[[Polyhedral combinatorics]]
*[[Convex lattice polytope|Lattice polytopes]]
*[[Ehrhart polynomial]]s
*[[Pick's theorem]]
*[[Hirsch conjecture]]
*[[Opaque set]]