Polygons are all made of "flat edges", or more accurately, by vertices (points) which form edges (lines), which in turn form faces, so you can only make them appear to be smooth from a distance by adding faces. Zoom into a polygon sphere, and you will know what I mean.
You might want to try working with NURBS.
Drought
Many of life's failures are people who did not realize how close they were to success when they gave up. --Thomas A. Edison