Surface of constant slope


I’m trying to reverse an offset. I have a closed curve and I’m looking for the smallest value for which you can offset a curve on itself. Unfortunately, the offset function is pretty weak and I figured I could also create a surface of constant slope and then project the ridge line onto the plan of the closed curve.

It’s so hard. I need help. Do you have any idea how I can do any of those things ?

Thank you

Just search for medial axis, roof …

see this post of daniel piker