Customizable Ring/Bracelet/Crown Thing (V2)

Powerful customizer that makes unique rings, bracelets, crowns, or other round things you imagine.
WARNING: due to the large number of calculations, the customizer may take a long time to update after making changes (maybe up to minute in extreme cases).
UPDATE 2013/03/06
I tweaked the code a little and the STL's should generate roughly 2-3X faster. Yay