Editing Triangulation (topology) (section)

{{Short description|Representation of mathematical space}}
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[[File:Torus-triang.png|thumb|250px|A triangulated torus]] [[File:A triangulation of the torus, with bounding box fixed.svg|thumb|250px|Another triangulation of the torus]][[File:Dolphin triangle mesh.svg|thumb|250px|A triangulated dolphin shape]]

In mathematics, '''triangulation''' describes the replacement of [[topological space]]s with [[simplicial complex]]es by the choice of an appropriate [[homeomorphism]]. A space that admits such a homeomorphism is called a '''triangulable space'''. Triangulations can also be used to define a [[piecewise linear structure]] for a space, if one exists. Triangulation has various applications both in and outside of mathematics, for instance in algebraic topology, in complex analysis, and in modeling.