|from Robert S Donovan @ Flickr|
Seeing this tumblr entry with an animated Spirograph picture when I had a few minutes sorta free, inspired me to finally put together a sketch. So I thought I'd share it. It's definitely good for experimenting to see if you can figure out what is going on. Very fun to make. The webpage lets you see the patterns, but doesn't give nearly the control that the GeoGebra file does. It succeeded insofar as you can make some pretty pictures, and I didn't have to cheat by parameterizing the curves..
The View menu should allow you to refresh views in the applet below, but it can get hung up. I sometimes have to click pause several times before it pauses. As I said, on this one I recommend the GeoGebra file, if you're going to do any serious playing around.