Software for computing geometirc data of parametric surfaces

Question

Is there any (possibly free) software suitable for computing geometric quantities of parametric surfaces?

Any suggestion will be very appreciated.

Answer 1

Sage is a free piece of software similar to Mathematica. Check it out here.

For example, to compute the Gaussian and mean curvatures of the sphere,

sage: sphere = surfaces.Sphere(); sphere
sage: K = sphere.gauss_curvature();
sage: H = sphere.mean_curvature();

See here for more functions.

This MO answer also contains many other software links.

This link is particularly useful to find software oriented to a particular field.