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complex flared base for a cylinder

I'm in the process of designing a model of a steam locomotive and have hit a roadblock when it comes to making the bases of the boiler fittings.

Image result for steam locomotive chimney

more often that not the boiler fittings have a very complex radius which has the same starting point all the way around at the top but follows the rim as it rises and falls to the contours of the boiler. an initial look through the shape generators section seems to have nothing like what I'm looking for, and I have no idea when it comes to coding my own shape generator, so help would be appreciated

 

 

 

 

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