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Maybe a few pics should explain it better:

1. Roughing the inside cavity with an end mill...

The plug fixture makes very thin walled cups possible (as long as they don't have any cracks or knots..). When I cut the plug on the machine, which must be tight fitting but not a press fit, I drill...

Right now I am working on a set of very thin walled lamp shades 3.5" diameter and 3.7" tall. In a way similar to your project but with a kind of tulip shape, i.e. the wall have varying slope (not...