Graphics`SurfaceOfRevolution`

A surface of revolution is generated by rotating a curve about a given line. SurfaceOfRevolution plots the surface of revolution generated by rotating about any axis the graph of a function in the - plane or a curve described parametrically.

Surface of revolution of a curve.

This loads the package.

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The curve is rotated about the axis.

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Any options you give are passed directly to the built-in ParametricPlot3D.

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This gives the surface of revolution of a curve in the - plane described parametrically with the variable .

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Surface of revolution of a curve over a reduced angle.

Here is the same curve rotated from to .

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Specifying the axis of revolution.

Here is a curve rotated about a different axis in three-dimensional space.

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Surfaces of revolution from a list of data points.

We can also generate a surface of revolution from a curve specified by a list of data points. The points can lie in the - plane or in three-dimensional space.

Here is a list of data in the - plane.

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This gives the surface of revolution of dat about the axis connecting the origin to point {1, -1, 1} .

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