Range/Period of surface (not face) in u and/or v direction

Hello all:
A few questions ...

Given a surface (not a face), how can you tell if it's periodic in u and/or v?

And do you get the period/range if it is periodic?

More generally, how do you get the u,v bounds of a surface (not a face).

For example, a face sitting on a cylindrical or toroidal surface where you have periodicity in both u and v directions.

Thanks in advance, friends.