ParametricPlot3D—Wolfram Language Documentation

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} \[Element] reg] takes parameters {u, v} to be in the geometric region reg.

Source: ParametricPlot3D—Wolfram Language Documentation

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