Draw no axes:
Specify a label for the
axis:
No boundary is drawn by default:
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:
Do not draw the edges of the bounding box:
Choose the ratios of side lengths from the actual plot values:
Set the ratios to
:
Color the curve by scaled
,
,
, or
value:
Color the surface by scaled
,
,
,
, or
value:
Use a named color gradient:
ColorFunction has higher priority than
PlotStyle:
Use red for the parameter
:
Color by absolute
value:
Show where in parameter space
ParametricPlot3D samples:
Show where
ParametricPlot3D samples in
space:
Count how many points are sampled:
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:
Provide an explicit list of points for exclusions:
Style the boundary with a thick blue line:
Style the boundary with a thick blue line and the surface in between with yellow:
Style the exclusions for a curve with a red line:
Refine the surface where it changes quickly:
Refine the curve where it changes quickly:
Show the initial and final sampling mesh:
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:
Use a mesh evenly spaced in the
,
,
,
, and
directions:
Show five mesh levels in the
direction (red) and 10 in the
direction (blue):
Map a cellular automaton array onto a sphere:
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:
Automatically choose the mesh style:
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:
By default different styles are chosen for multiple curves:
Explicitly specify the style for different curves and regions:
Use a different style inside the surface:
Select a region in
,
,
,
, and
:
Select a region in parameter space:
Select portions of a curve 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:
to 
. 
or 
evaluate to None, or anything other than real numbers.
, 
, ... 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 curves or surfaces. 
specifies an explicit tooltip label for a curve or surface. 
etc. should give real numbers for all values of parameters at which they are evaluated. There will be holes in the final surface anywhere at which 
etc. do not yield real number values. 
for curves and PlotPoints
for surfaces. 
makes ParametricPlot3D print a message if it is unable to reach a certain smoothness of curve.
for curves, and 
for surfaces. 
EXAMPLES
Basic Examples 
Scope 