ParametricPlot3D

ParametricPlot3D[, , , t, tmin, tmax] produces a three-dimensional space curve parametrized by a variable t which runs from tmin to tmax.

ParametricPlot3D[, , , t, tmin, tmax, u, umin, umax] produces a three-dimensional surface parametrized by t and u.

ParametricPlot3D[, , , s, ... ] shades the plot according to the color specification s.

ParametricPlot3D[, , , , , , ... , ... ] plots several objects together.

ParametricPlot3D evaluates its arguments in a non-standard way (see Section A.4.2). You should use Evaluate to evaluate the function to be plotted if this can safely be done before specific numerical values are supplied.

ParametricPlot3D has the same options as Graphics3D, with the following additions:

ParametricPlot3D has the default option setting Axes -> True.

With the default setting PlotPoints -> Automatic, ParametricPlot3D uses PlotPoints -> 75 for curves and PlotPoints -> {20, 20} for surfaces.

ParametricPlot3D returns a Graphics3D object.

See The Mathematica Book: Section 1.9.10.

Related packages: Graphics`PlotField3D`, Graphics`ContourPlot3D`, Graphics`SurfaceOfRevolution`, Graphics`Shapes`.

Further Examples