I want to cut a 2 dimensional material and then deform it into 3 dimensions as part of an art project I have in mind. What I'm looking for is education into how certain 2 dimensional shapes deform into 3 dimensions.
In my head I keep thinking of clothing where you take something flat (cloth) and produce a cone (skirt). You start with a donut shape with a wedge cut out (2D). Then you join the discontinuous ends and get a cone with no top (3D). That's just a single example of what I'm looking for. I'm looking for more "you start with this and end with that" shapes.
Is there an easy way to figure out the 2D shape you need to produce a 3D shape? Not only that but how do you modify the outlines to get different 3D effects (twist, curvature, etc.) Again I end up thinking dressmaking although that's not where I'm going with this.