ParametricPlot3D

ParametricPlot3D[{fx,fy,fz},{u,umin,umax}]

produces a three-dimensional space curve parametrized by a variable u which runs from umin to umax.

ParametricPlot3D[{fx,fy,fz},{u,umin,umax},{v,vmin,vmax}]

produces a three-dimensional surface parametrized by u and v.

ParametricPlot3D[{{fx,fy,fz},{gx,gy,gz}}]

plots several objects together.

ParametricPlot3D[,{u,v}reg]

takes parameters {u,v} to be in the geometric region reg.

Details and Options

Examples

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Basic Examples  (5)

Plot a parametric surface:

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Plot a parametric space curve:

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Plot multiple parametric surfaces:

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Use simple styling of surfaces:

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Plot surfaces with cuts:

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Scope  (19)

Options  (75)

Applications  (7)

Properties & Relations  (5)

Possible Issues  (3)

Neat Examples  (1)

See Also

RevolutionPlot3D  SphericalPlot3D  ContourPlot3D  RegionPlot3D  Plot3D  ParametricPlot  ListSurfacePlot3D  ListPointPlot3D

Tutorials

Introduced in 1991
(2.0)
| Updated in 2016
(11.0)