What I really like about this project is that it taught me to think about the world differently with respect to physical objects. I now sometimes think about the outline of physical objects as if it's a line. The specific area of math that you use for things like this is called "Parametric Equations". I had a lot of great conversations about this stuff with Hansi and Jerobeam. I was very impressed by their intelligence, and also very thankful that they took their time to share these special things with me. I know they'd really appreciate it if you'd reach out to their website and purchase OsciStudio as well as some of Jerobeam's music. Even if you don't have an oscilloscope, purchasing the software will obviously help them continue to do what they love doing. Hansi showed me a very interesting thing he's working on involving ray tracing. It was fascinating.