BUILT-IN MATHEMATICA SYMBOL

# MeshFunctions

MeshFunctions
is an option for plotting functions that specifies functions to use to determine the placement of mesh divisions.

## DetailsDetails

• In Plot3D, the default setting MeshFunctions->{#1&, #2&} specifies that meshes corresponding to x and y coordinates should be constructed.
• With the setting MeshFunctions->{m1, m2, ...}, each function defines a family of mesh divisions.
• By default, the mesh divisions are taken to lie at positions giving equally spaced values of .
• The arguments supplied to the and the default MeshFunctions settings are as follows:
•  Plot and ListLinePlot x, y {#1&} ParametricPlot x, y, u or x, y, u, v {#3&} or {#3&,#4&} PolarPlot and ListPolarPlot x, y, , r (#3&) RegionPlot x, y {#1&,#2&} ContourPlot and ListContourPlot x, y, f {} DensityPlot and ListDensityPlot x, y, f {#1&,#2&} ContourPlot3D and ListContourPlot3D x, y, z, f {#1&,#2&,#3&} Plot3D and ListPlot3D x, y, z {#1&,#2&} ListSurfacePlot3D x, y, z {#1&,#2&,#3&} ParametricPlot3D x, y, z, u or x, y, z, u, v {#4&} or {#4&,#5&} RegionPlot3D x, y, z {#1&,#2&,#3&}
• Each effectively defines a foliation.
• The should normally be chosen to be continuous monotonic functions.

## ExamplesExamplesopen allclose all

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

Put 5 mesh lines in the direction:

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Show curves of constant real and imaginary parts of a function:

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Show intersection points:

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