MuPAD Pro Computing Essentials - Examples 

Example 7.9 - Plotting parametric surfaces

Sphere can be defined by using parametric equation like the one below. In this example we will plot sphere using its parametric equation and procedure Surface3d.

export(plot,Surface3d):
 

g:=(x,y,z)->[abs(sin(PI-x)),abs(sin(PI-y)),abs(sin(z))]:
 

Sphere := Surface3d(
   [2*sin(t)*cos(u), 2*sin(t)*sin(u), 2*cos(t)],
   t=0..PI, u=0..2*PI,
   Grid = [30,30],
   Style = [ColorPatches, Only],
   Color = [Function,g]
):
 

plot(Sphere, Scaling=Constrained)