# Wolfram Language & System 11.0 (2016)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.
BUILT-IN WOLFRAM LANGUAGE SYMBOL

# DelaunayMesh

DelaunayMesh[{p1,p2,}]
gives a MeshRegion representing the Delaunay mesh from the points p1, p2, .

## Details and OptionsDetails and Options

• DelaunayMesh is also known as Delaunay triangulation and Delaunay tetrahedralization.
• A Delaunay mesh consists of intervals (in 1D), triangles (in 2D), tetrahedra (in 3D), and -dimensional simplices (in D).
• A Delaunay mesh has simplex cells defined by points, such that the circumsphere for the same points contains no other points from the original points pi.
• The Delaunay mesh gives a triangulation where the minimum interior angle is maximized.
• DelaunayMesh takes the same options as MeshRegion.

## ExamplesExamplesopen allclose all

### Basic Examples  (3)Basic Examples  (3)

A 1D Delaunay mesh:

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A 2D Delaunay mesh from a list of points:

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A 3D Delaunay mesh from a list of points:

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