ParametrizedSurface3D to eps

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Sage can output a png or pdf file which you can then convert to eps using tools such as imagemagick.

The examples below are using the following version of Sage:

sage: version()
SageMath version 8.1, Release Date: 2017-12-07

Get the documentation for ParametrizedSurface3D:

sage: ParametrizedSurface3D?

Use an example from the documentation:

sage: u, v = SR.var('u v', domain='real')
sage: eparaboloid = ParametrizedSurface3D((u, v, u^2 + v^2), (u, v), 'elliptic paraboloid')
sage: eparaboloid
Parametrized surface ('elliptic paraboloid') with equation (u, v, u^2 + v^2)

Plotting it with .plot() launches the interactive jmol viewer.

sage: eparaboloid.plot()
Launched jmol viewer for Graphics3d Object

Plotting it with `.plot(viewer='tachyon') gives a 2D view, in png.

sage: eparaboloid.plot(viewer='tachyon')
Launched png viewer for Graphics3d Object

We can store the plot in a variable.

sage: p = eparaboloid.plot(viewer='tachyon')

Then save it. Documentation:

sage: p.save_image?

The documentation says in particular:

The image type is determined by the extension of the filename. For
example, this could be ".png", ".jpg", ".gif", ".pdf", ".svg".

Usage:

sage: p.save_image('surface.png')

Then use imagemagick or any other tool to convert the resulting png file to an eps file.