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Mesh

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Mesh
is an option for Plot3D, DensityPlot and other plotting functions that specifies what mesh should be drawn.
  • The following settings can be given for Mesh:
Noneno mesh drawn
nn equally spaced mesh divisions
Automaticautomatically chosen mesh divisions
Allmesh divisions between all elements
Fullmesh divisions between regular data points
{spec1,spec2,...}separate specifications for each mesh function
  • For surfaces, as generated for example by Plot3D, mesh divisions are lines. The same is true for regions, as generated for example by ContourPlot or RegionPlot.
  • For curves, as generated for example by Plot, mesh divisions are points.
  • There can be several families of mesh divisions in a single plot. Each family is associated with a mesh function in the list given as the setting for MeshFunctions.
  • For Plot3D and ListPlot3D, the default mesh functions are the x and y coordinates.
  • For ParametricPlot3D, the default mesh functions for surfaces are the u and v parameter values.
  • In 2D, and for curves in 3D, the default is not to draw meshes.
  • Mesh divisions are by default taken to be equally spaced between the minimum and maximum values achieved by a particular mesh function.
  • Mesh divisions are by default taken to be drawn with the style specified by MeshStyle.
  • The following explicit specifications can be associated with each mesh function:
nn equally spaced divisions
{a1,a2,...}divisions at values ai
{{a1,g1},...}divisions drawn with graphics directive gi
  • Mesh->All draws mesh divisions between every line or polygon generated by a plotting function.
  • For functions like ListPlot3D and ListDensityPlot with regular arrays of data, Mesh->Full draws mesh divisions that cross at the position of each data point.
  • For ArrayPlot, Mesh->True draws mesh divisions between every cell.
EXAMPLESCLOSE ALL
Basic Examples   (6)
Use no mesh:
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Use 5 mesh lines in each direction:
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Show all mesh elements used in the sampling:
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Show underlying data points:
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Include a mesh in an array plot:
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Specify specific mesh lines:
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