SOLUTIONS

BUILTIN 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:

None no mesh drawn n n equally spaced mesh divisions All mesh divisions between all elements Full mesh divisions between regular data points {spec_{1},spec_{2},...} 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:

n n equally spaced divisions {a_{1},a_{2},...} divisions at values {{a_{1},g_{1}},...} 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.
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