Editing Discrete geometry (section)

===Simplicial complexes===
{{main|Simplicial complex}}
A '''simplicial complex''' is a [[topological space]] of a certain kind, constructed by "gluing together" [[Point (geometry)|point]]s, [[line segment]]s, [[triangle]]s, and their [[Simplex|''n''-dimensional counterparts]] (see illustration).  Simplicial complexes should not be confused with the more abstract notion of a [[simplicial set]] appearing in modern simplicial homotopy theory.  The purely combinatorial counterpart to a simplicial complex is an [[abstract simplicial complex]]. See also [[Vietoris–Rips_complex|random geometric complexes]].