MeshCells

MeshCells[mreg,d]

gives the cells of dimension d in the mesh region mreg.

MeshCells[mreg,cellspec]

gives the cells specified by cellspec.

Details

  • MeshCells is often used to get the symbolic cell h[{i1,}] from a cell index {d,i}.
  • The cells returned have the form h[{i1,}] where ik are coordinate index indicating point ik in the list of coordinates given by MeshCoordinates.
  • The mesh region mreg can be either MeshRegion or BoundaryMeshRegion.
  • The cell specification cellspec follows the standard form described for MeshRegion and BoundaryMeshRegion.
  • MeshCellCount can be used to find the maximum number of cells for each dimension.

Examples

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Basic Examples  (3)

Mesh cells for a MeshRegion in 1D:

The 0D cells also include the end points of the line:

The 1D cells:

Mesh cells for a MeshRegion in 2D:

The 0D cells include all the corner points:

The 1D cells include all the edges:

The only 2D cell is used as input:

Mesh cells for a MeshRegion in 3D:

The 0D cells:

The 1D cells:

The 2D cells:

Scope  (7)

Mesh cells for a MeshRegion in 1D:

The 0D cells also include the end points of the line:

The 1D cells:

Mesh cells for a MeshRegion in 2D:

The 0D cells include all the corner points:

The 1D cells include all the edges:

The only 2D cell is used as input:

Mesh cells for a MeshRegion in 3D:

The 0D cells:

The 1D cells:

The 2D cells:

Mixed dimensions:

The indices given in MeshCells correspond to MeshCoordinates:

Construct a MeshRegion directly:

Create a GraphicsComplex:

Specify a list of 1D cell primitives:

Alternatively, you can specify a head and indices:

A list of 2D cell primitives:

Applications  (1)

Extract the lines from a MeshRegion to make a wireframe mesh:

The indices given in MeshCells correspond to MeshCoordinates:

Create the wireframe mesh:

Properties & Relations  (1)

The indices in MeshCells refer to the MeshCoordinates:

Possible Issues  (1)

Culling of unused coordinates may change cell indices:

The cell indices refer to MeshCoordinates, not the input coordinates:

Introduced in 2014
 (10.0)