MuPAD Pro Computing Essentials - Examples 

Example 7.12 - Plotting in cylindrical coordinates

Let us plot a very simple function r=sin(u/v) using cylindrical coordinates. Here u=-PI..PI and v=0.1..1.5. For this purpose, we will use the same color function as we did in the previous example. Observe, that for the purpose of the web presentation I used very small Grid value. However, the best result we are getting for Grid=40 or even 50.  

export(plot, cylindrical):
 

h:=(x,y,z)->[abs(sin(x)),abs(sin(y)),abs(sin(z))]:
 
sculpture := cylindrical(
   [sin(u/v), u, v], u = -PI..PI, v = 0.1..1.5,
   Grid = [30, 30],
   Style = [ColorPatches, AndMesh],
   Color = [Function,h]
):
 

plot(
   sculpture,
   Scaling=Constrained,
   BackGround=[0.84,0.85,1],
   CameraPoint=[5,-30,10],
   FocalPoint=[0,0,0]
)