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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 -> {15, 15} 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

    This makes a parametric plot that projects into a Lissajous figure.

    Evaluate the cell to see the graphic.

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