Mathematica > Visualization and Graphics > Graphics Options & Styling > Plotting Options > Mesh
BUILT-IN MATHEMATICA SYMBOL

Mesh

Mesh
is an option for Plot3D, DensityPlot, and other plotting functions that specifies what mesh should be drawn.

DetailsDetails

  • The following settings can be given for Mesh:
  • Noneno mesh drawn
    nn equally spaced 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 ContourPlot3D and RegionPlot3D, the default mesh functions are the x, y, and z 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
    {{a1,g1},...}divisions drawn with graphics directive
  • 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.
  • The can be color, Opacity, Thickness, Dashing, or other directives. Combinations of directives can be given using Directive.
  • For ArrayPlot, Mesh->True draws mesh divisions between every cell.
  • Mesh->False is equivalent to Mesh->None.

ExamplesExamplesopen allclose all

Basic Examples (6)Basic Examples (6)

Use no mesh:

In[1]:=
Click for copyable input
Out[1]=

Use 5 mesh lines in each direction:

In[1]:=
Click for copyable input
Out[1]=

Show all mesh elements used in the sampling:

In[1]:=
Click for copyable input
Out[1]=

Show underlying data points:

In[1]:=
Click for copyable input
Out[1]=

Include a mesh in an array plot:

In[1]:=
Click for copyable input
Out[1]=

Specify specific mesh lines:

In[1]:=
Click for copyable input
Out[1]=
Top
New in 1 | Last modified in 6
Send Feedback
Mathematica 9 is now available!

400+ new features, including the new Wolfram Predictive Interface, social network analysis, enterprise CDF deployment, and more »

Try Now
Buy/Upgrade
New to Mathematica? Find your learning path »
Have a question? Ask support »