Question: Finding a convinient parametrization of surfaces.


Can I ask maple to give me a vector parametrization of any arbituary surface? Lets say I am given some surface in the form z=(g(x,y) or f(x,y,z).

In some cases finding a vector parametrization can be tidous and hard. I have looked at the algcurves help page, it is helpful in som cases but not that much for surfaces.

Lets for the purpose of this exampl say I wanted to obtain a parametrization for the torus (C-sqrt(x^2+y^2))^2+z^2=a^2

Is maple able to help me with this process beside making the plot and start the manual visualization and work?

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