Here’s a Logo program that draws some shapes: ```
to inspi :s :a :i
```
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. |