By default,
AspectRatio comes from
PlotRange:
Set a different
AspectRatio:
Draw no axes:
Specify labels for the
and
axes:
Determine where the axes cross automatically:
Specify the axes origin at the point
:
Use a red boundary around the edges of the surface:
BoundaryStyle applies to regions cut by
RegionFunction:
BoundaryStyle does not apply to holes cut by
Exclusions:
Color the curve by scaled
,
, or
values:
Color by scaled
and
parameter values:
Use a named color gradient:
ColorFunction has higher priority than
PlotStyle:
Use red for the parameter
:
Color the curve by angle:
Color the region by angle and vary opacity across the region:
Find the list of parameter values evaluated:
Find the parametric coordinate values:
Count how many times the function is evaluated:
Automatically determine exclusions:
Specify exclusions using equations:
Exclude a fixed set of points:
Use no exclusions:
Exclude an equation and the automatically chosen points:
Specify explicit styling for lines joining exclusion points:
Provide styling for both exclusion points and the lines joining them:
Draw red lines where the region is cut by excluded curves:
Each level of
MaxRecursion will adaptively subdivide the initial mesh into a finer mesh:
Subdivision for parametric regions:
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:
Use a mesh evenly spaced in the
,
,
, and
directions:
Show five mesh levels in the
direction (red) and 10 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
PlotStyle for some segments by setting
MeshShading to
Automatic:
Fill between regions defined by multiple mesh functions:
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:
Use big red mesh levels in the
direction:
Generate a higher-quality plot:
Emphasize performance, possibly at the cost of quality:
Use more initial points to get a smoother plot:
Use fewer plot points in directions that do not change much:
Show the plot where
and
:
With the natural range of values, the fine detail around the origin is not visible:
Use
PlotRange to focus in on areas of interest:
Use different style directives:
By default different styles are chosen for multiple curves and regions:
Explicitly specify the style for different curves and regions:
PlotStyle can be combined with
ColorFunction:
Show the plot where
:
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 
as a function of u. 
and 
only after assigning specific numerical values to variables.
and 
symbolically before specific numerical values are assigned to variables.
or 
evaluate to None.
should be displayed as tooltip labels for the corresponding curves or regions. 
specifies an explicit tooltip label for a curve or region. 
makes ParametricPlot print a message if it is unable to reach a certain smoothness of curve.
for curves, and 
for regions. 
:
and 
: 
EXAMPLES
Basic Examples 
Scope 