Once I finished the curvy lines program, I butchered it and started working towards my original goal: to create a stretchy disk. I succeeded, but the shape of the disk when I stretched it was all wrong. After a while, I got my dad to come over and take a look at the math, and he started playing with it too, trying to figure out how to fix the shape.
At one point, he changed something wrong and got a ball instead of a disk. It looked pretty cool, so I saved it. Later I made some changes. Here's the finished result; just click and stretch:
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