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ParametricPlot3D can be used with one or two variables to plot paths and surfaces in 3-D. such as

ParametricPlot3D[{x + y, x y, Sin[x] + Cos[y]}, {x, 0, 1}, {y, 0, 1}]

However, say I wanted to plot a 3-D solid where the x, y and z coordinates are defined in terms of 3 variables. Is there some way to use ParametricPlot3D or other Mathematica functions to perform this task?

A simple test case could be

ParametricPlot3D[{x, y, z}, {x, 0, 1}, {y, 0, 1}, {z, 0, 1}]

which should output a cube.

ParametricPlot3D can be used with one or two variables to plot paths and surfaces in 3-D. However, say I wanted to plot a 3-D solid where the x, y and z coordinates are defined in terms of 3 variables. Is there some way to use ParametricPlot3D or other Mathematica functions to perform this task?

ParametricPlot3D can be used with one or two variables to plot paths and surfaces in 3-D such as

ParametricPlot3D[{x + y, x y, Sin[x] + Cos[y]}, {x, 0, 1}, {y, 0, 1}]

However, say I wanted to plot a 3-D solid where the x, y and z coordinates are defined in terms of 3 variables. Is there some way to use ParametricPlot3D or other Mathematica functions to perform this task?

A simple test case could be

ParametricPlot3D[{x, y, z}, {x, 0, 1}, {y, 0, 1}, {z, 0, 1}]

which should output a cube.

Source Link
E.O.
E.O.
  • 1.2k
  • 1
  • 12
  • 16

ParametricPlot3D with three variables

ParametricPlot3D can be used with one or two variables to plot paths and surfaces in 3-D. However, say I wanted to plot a 3-D solid where the x, y and z coordinates are defined in terms of 3 variables. Is there some way to use ParametricPlot3D or other Mathematica functions to perform this task?