Heres a Logo program that draws some shapes:
Sometimes inspi produces a shape that is "back and forth": (The numbers under the pictures show the inputs.)
What about the patterns you get when you divide by other numbers?
Sometimes the shape is poly-like:
And sometimes it just marches away, never to be seen again:
Are other behaviors possible? Develop a theory to explain how the shapes depend on the inputs.
Translations of mathematical formulas for web display were created by tex4ht.