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Problem in the transition of surfaces


Hello everybody,
I'm relatively new in NX surface design and have pretty big problem in the transition of surfaces. I am currently trying to construct an between structure from a 10 mm circle to the Sierpinski curves (see Design2.png). I constructed the structure in 3 steps (see Design1.png). But then I couldn't define a G1 between the surfaces. That's why I need your help. You can help me how I can tinker my construction or tell me how you can build such a structure yourself (mathematical or simply constructive procedure). Unfortunately, I am now at a loss.
I would look forward to any ideas or help.