Another Parametrized Polar Graph
 
Maple 8 code:
  
with(plots):
animate(abs(x)*cos(3*theta+2*Pi*x),theta=0..2*Pi,
    x=-1..1,coords=polar,thickness=2,numpoints=100,
    scaling=constrained,axes=none,frames=50,color=coral);
 
Comments: 
  1. The 3-leafed rose is rotated by offsetting by an amount ranging from 0 to , and is scaled by a factor of , with .
  2. In spite of the relatively large number of frames, the overall size of the animation is a compact 14K bytes, due to the minimal color use. 
  3. An animation editor was used to crop the animation, to lengthen the display time for each frame, and to optimize the GIF file.