I am working on designing animal icons and was curious the best way to create a sheep icon. I am looking for the most efficient way to make the circles on the fur.
It may be too late for you, but to expand on the concept of copying circles along the sheep's perimeter, I created a partial one for demonstration purposes.
First I drew the overall sheep using the vector tool. I inset the wooly bits some so there'd be room for the circles.
Then I created an oval and positioned one in place. I then duplicated it (option-dragged the outline), rotated it (command-dragged a corner), and resized it (option-dragged an edge for mirrored resizing to simplify things) until it fit. Repeat the process until you've created them all. (In one case I edited an oval in vector mode because a "pure" oval wouldn't mimic the original.)
Then I selected everything and combined the shapes as a "union" (Layer > Combine > Union, or the Union button in the toolbar).
It's a bit time-consuming, but not bad. Though I obviously didn't create all of the ovals, the part that I did do took about 20 minutes (yes, I'm avoiding real work).