Originally Posted by Mr.Weatherby
Unfortunately, there are no spanner holes and no flats. Perfectly round and unmarked. I've taken out several BB's and never seen anything like this. Can't even imagine what kind of tool would do the trick.
Here's the Sheldon Brown article that MacG referred to:
http://sheldonbrown.com/tooltips/bbcups.html
It would be nice to see some pics of your adjustable and fixed cups. I have never seen one as you have described. But, Sheldon does describe a home made gizmo that should do the job for you. Do yourself a favor and hit those cups with some Liquid Wrench or PB Blaster right now and that will make your job a lot easier when you go to unscrew them.