Extremely pointy points & you don't have to worry about bias edges because the paper stabilizes everything. Check out Judy Neimeyer and Karen Stone. Judy's quilts will blow your mind and Karen's are nothing to sneeze at, either.
Jodie Davis has a whole bunch of different birds that are very realistic looking and Ula Lenz
http://www.lenzula.com has a nice BOM going on now.
There are also some incredible stained glass quilts done with paper piecing.
It's kind of like painting by number. I think there is even a company called piece by number.