# DelaunayMesh

DelaunayMesh[{p1,p2,}]

gives a MeshRegion representing the Delaunay mesh from the points p1, p2, .

# Details 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.

# Examples

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## Basic Examples(4)

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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Delaunay mesh from points corresponding to minimal vectors of the hexagonal close packing lattice:

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