I found a way to do almost what I was after.  Check this out:

http://www.wwwmwww.com/images/MyLogo2.png

If this is my original prism:

  #declare wwwmwww1 = prism {
    linear_sweep
    bezier_spline
    0, // sweep the following shape from here ...
    10, // ... up through here
    348, // the number of points making up the shape ...
    #declare Ctr = 0;
    #while (Ctr < 85.5)
      P1[Ctr],C1[Ctr+1],C2[Ctr],P1[Ctr+1],
      #declare Ctr = Ctr+1;
    #end
    P1[Ctr],C1[Ctr+1],C2[Ctr],P1[Ctr+1]
  }

Then all I had to do was this:

  #declare shell = difference {
    sphere {<0,0,0>,1}
    sphere {<0,0,0>,0.95}
  }

  #declare wwwmwww3 = prism {
    conic_sweep
    bezier_spline
    0, // sweep the following shape from here ...
    1, // ... up through here
    348, // the number of points making up the shape ...
    #declare Ctr = 0;
    #while (Ctr < 85.5)
      <tan(radians(f1*P1[Ctr].x)),
       tan(radians(f1*P1[Ctr].y))/cos(radians(f1*P1[Ctr].x))>,
      <tan(radians(f1*C1[Ctr+1].x)),
       tan(radians(f1*C1[Ctr+1].y))/cos(radians(f1*C1[Ctr+1].x))>,
      <tan(radians(f1*C2[Ctr].x)),
       tan(radians(f1*C2[Ctr].y))/cos(radians(f1*C2[Ctr].x))>,
      <tan(radians(f1*P1[Ctr+1].x)),
       tan(radians(f1*P1[Ctr+1].y))/cos(radians(f1*P1[Ctr+1].x))>,
      #declare Ctr = Ctr+1;
    #end
    <tan(radians(f1*P1[Ctr].x)),
     tan(radians(f1*P1[Ctr].y))/cos(radians(f1*P1[Ctr].x))>,
    <tan(radians(f1*C1[Ctr+1].x)),
     tan(radians(f1*C1[Ctr+1].y))/cos(radians(f1*C1[Ctr+1].x))>,
    <tan(radians(f1*C2[Ctr].x)),
     tan(radians(f1*C2[Ctr].y))/cos(radians(f1*C2[Ctr].x))>,
    <tan(radians(f1*P1[Ctr+1].x)),
     tan(radians(f1*P1[Ctr+1].y))/cos(radians(f1*P1[Ctr+1].x))>
  }

  #declare wwwmwww = intersection {
    object {shell}
    object {wwwmwww3}
  }

In fact I think I like this more then what I was after.  However I'm
surprised that if its this easy to cut my logo from a sphere that it seems
so much harder to cut it out of a cylinder.

Thanks,
Carl

P.S.  f1 above is just a scaling factor used to convert the original x and y
values into degrees.  Also note this method can only be used to wrap the
logo half way around the sphere.  I think if I break the logo up into 2
prisms though I can get more then 180 degree coverage.

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