Parametric plots

 

In Macsyma

For comparison with other CAS choose from: Axiom Derive Maple Mathematica Reduce

inputs outputs

• surface defined parametrically

      plotsurf([[sin(v), sin(2*v)*sin(u), sin(2*v)*cos(u)]],
               u, 0, 2*%pi, v, -%pi/2, %pi/2);