Hi
I've tried your solution but my pattern is always too deformed.


"Or the other way similar to what Pilou mentions above is to get the base plane to have the same UV structure as the revolved surface. For this case it isn't easy to flatten the surface but instead you could take the profile curve for the revolve, flatten that to a line and then extrude that line into a plane to use as the base plane, that's another way to get the plane and the revolve to be synced up.

- Michael"

I've tried also, it's the same result.
See my new screenshot below.

Thanks Michael and Pilou