Parametric plots

 

In Reduce

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

inputs outputs

• surface defined parametrically

      dd:=pi/10;
  
      w:=for u:=0 step dd until 2*pi collect
           for v:=-pi/2 step dd until pi/2 collect
             sin v, sin(2*v)*sin u, sin(2*v)*cos u$
  
      plot w;