I think this tut is the most appropriate for what you are attempting to do. Just apply the principles from this to your concept. It all makes sense now. I always knew that had to have been a reflection; I just didn’t know how they did it. Now I do. Maybe I’ll try to do it as well.
He has a link at the bottom of the first step that you can follow to a similar project where he creates another logo animation; in this example he first creates the logo in illustrator.