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Inspi Project

Here’s a Logo program that draws some shapes:

to inspi :s :a :i
fd :s rt :a
inspi :s :a+:i :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?

curve bending back and forth, like one or more copies of the letter S, connected together

Sometimes the shape is poly-like:

poly-like curves

And sometimes it just marches away, never to be seen again:

curve spiraling from upper left to lower right of an imaginary, enclosing rectantle

Are other behaviors possible? Develop a theory to explain how the shapes depend on the inputs.

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Translations of mathematical formulas for web display were created by tex4ht.

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