More points are sampled when the function changes quickly:

The plot range is selected automatically:

Ranges where the function becomes nonreal are excluded:

The surface is split when there are discontinuities in the function:

Use PlotPoints and MaxRecursion to control adaptive sampling:

Use PlotRange to focus in on areas of interest:

Use Exclusions to remove points or split the resulting surface:

Plot multiple surfaces:

Provide explicit styling to different surfaces:

Use legends to identify styles:

Add labels:

Provide an interactive Tooltip for a surface:

Create an overlay mesh:

Style the areas between mesh levels:

Color by parameter values:

Use named color schemes:

Remove portions of a curve or surface:

Use a highly stylized theme:

Reverse the direction of the z axis:

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 preserve the AspectRatio used by Plot:

The default BoxRatios preserves the revolved circles:

Use specific BoxRatios:

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 {t,θ} coordinates:

Count how many times is evaluated:

Use 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 thick blue line:

Style the boundary with a thick blue 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 for 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 5 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:

MeshShading can be used with ColorFunction:

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 placeholders to identify plot styles:

Use specific labels:

Use the expressions as legends:

Use Placed to control legend position:

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:

Use a theme with simple ticks and mesh lines in a bright color scheme:

Turn off ticks:

Use a monochrome theme:

Change the tone:

Create a thick surface for 3D printing:

Select a region in , , , , , and :

Select a region in parameter space:

RevolutionPlot3D revolves around the axis by default:

Revolve around the axis:

Revolve around a diagonal line through the origin:

By default, plots have linear scales in all directions:

Use a log scale on the z axis:

Use ScalingFunctions to reverse the coordinate direction in the direction:

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: