Parametric Curves in 3D

I learned about parametric curves recently and thought they were so neat I decided to make some in Second Life. I scripted a tool for making them. If I find the time to polish it up I'll put it out for free like ShapeMaker.

Here is an epitrochoid. I think it took between 150 and 200 prims to get it this smooth.


And here is something I called a torus ribbon. I don't know if it's an established curve of some sort, it was just an idea I had. It's supposed to be the path of a spiral along the surface of a torus. As you can see I messed up the equation slightly so I'll have to debug it.