I think you want to look at this command:
Here is a link to a 3dm file I setup to do it.. (I didnt look at a baseball, so this is just the idea.. You should be able to make it look how you want.)
Rhino Baseball file
I projected a curve onto a sphere to use as the path. I created a single "Thread" off to the side to use the array command on. I also swept some profiles along that path for the center part. Then I booleaned them all together.. Everything has a layer and a name.