In classes like Calc 3 or Computer Graphics, I want my students to be comfortable describing common curves and surfaces parametrically (such as lines, triangles, circles, or surfaces of revolution). What are some good resources for teaching these skills?
Edit: Specifically, if I had a particular shape in mind (like a Mobius strip, a helix, etc.) I could sit down and work out a parameterization for that shape. But I can't articulate my general process. I can describe how I got any specific parameterization, but I'm looking for a resource that describes the general skill. Most of the resources I've found (including calculus texts) tend to just give examples and (if one is lucky) describe how those specific examples work.