Oh! I love that look! I don't know how to do it, so I'm just going to bump you.
Maybe you could lay out a sheet of fondant and then lay the stripes on top of the fondant (very thin) and then roll over it. I am not sure but thought I would offer something...LOL Let us know if you figure it all out for sure!!!
Here is a link that can give you some idea of how to go about it. I think the concept is the same. they are making a flag. You can actually alternate stripes!
hope the link works if not just go to you tube and search for fondant stripes.
that is so cute! i wanna know how they did that too. the stripe seems to be rolled into the base.