BoundaryStyle automatically matches
MeshStyle:
Use a thick red boundary:
Boundaries are drawn where the surface is clipped by
RegionFunction:
Boundaries are not drawn where the surface is clipped by
Exclusions:
The default
BoxRatios preserves the natural scale of the surface:
Color a surface by
,
,
,
,
, and
parameters:
Use
ColorData for predefined color gradients:
Named color gradients color in the
direction:
ColorFunction has higher priority than
PlotStyle:
ColorFunction has lower priority than
MeshShading:
Use scaled coordinates in the
direction and unscaled coordinates in the
direction:
Show where
RevolutionPlot3D samples a function in
coordinates:
Count the number of sample points on the surface:
This uses automatic methods to compute exclusions, in this case from branch cuts:
Indicate that no exclusions should be computed:
Give a set of exclusions as an equation:
Give two sets of exclusions:
Use both automatically computed and explicit exclusions:
Style the boundary with a red line:
Style the boundary with a red line and the surface in between with yellow:
Refine the surface where it changes quickly:
Show the initial and final sampling meshes:
Use 10 mesh levels evenly spaced in the parameter directions:
Use a different number of mesh lines in different directions:
Use an explicit list of values for the mesh in the
parameter and no mesh in the
parameter:
Use explicit value and style for the
mesh:
Use a mesh evenly spaced in the
,
,
,
,
, and
directions:
Show five mesh levels in the
direction (red) and ten in the
direction (blue):
Alternate red and blue arcs in the
direction:
Use
None to remove segments:
MeshShading has higher priority than
PlotStyle for styling:
Use the
PlotStyle for some segments by setting
MeshShading to
Automatic:
Fill between regions defined by multiple mesh functions:
Use
FaceForm to use different styles for different sides of a surface:
Use a red mesh in the
direction:
Use a red mesh in the
direction and a blue mesh in the
direction:
Normals are automatically calculated:
Use
None to get flat shading for all the polygons:
Vary the effective normals used on the surface:
Generate a higher-quality plot:
Emphasize performance, possibly at the cost of quality:
Use more initial points to get a smoother plot:
Use different style directives:
Explicitly specify the style for different surfaces:
Use a different style inside the surface:
Select a region in
,
,
,
,
, and
:
Select a region in parameter space:
Textures use scaled
and
parameters by default:
Use the
and
coordinates:
Use unscaled coordinates:
Use textures to highlight how parameters map onto a surface:
Use scaled or unscaled coordinates for textures:
Evaluate functions using machine-precision arithmetic:
Evaluate functions using arbitrary-precision arithmetic:
and 
.
and 
are measured in radians.
corresponds to "latitude"; 
is 0 at the "north pole", and 
at the "south pole". 
corresponds to "longitude", varying from 0 to 
counterclockwise looking from the north pole.
takes 
to have range 0 to 
, and 
to have range 0 to 
.
, 
, 
position corresponding to 
, 
, 
is 
, 
, 
. The variables 
and 
can have any values. The surfaces they define can overlap radially.
etc. evaluate to None, or anything other than real numbers. 
and 
as local, effectively using Block.
only after assigning specific numerical values to variables.
symbolically before specific numerical values are assigned to variables.
, 
curves to exclude
should be displayed as tooltip labels for the corresponding surfaces. 
specifies an explicit tooltip label for a surface. 
makes SphericalPlot3D print a message if it is unable to reach a certain smoothness of curve.
, 
, 
, 
, 
, and 
. Functions in ColorFunction and TextureCoordinateFunction are by default supplied with scaled versions of these arguments. 
EXAMPLES
Basic Examples 
Scope 