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Simple Programs in Turtle Geometry

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This Demonstration explores simple programs in turtle geometry, where an unseen turtle moves and traces a path according to provided instructions. If only one move-turn pair is used, the size of the forward step will have no affect on the image.

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As an example, to draw a pentagon of side length 10, use one move-turn pair with 5 repetitions and set "turn 1" to right 72. As your instructions become more complicated, the turtle's paths will become more intricate.

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Contributed by: Joshua Goldstein (May 2011)
Open content licensed under CC BY-NC-SA

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Reference

[1] H. Abelson and A. diSessa, Turtle Geometry: The Computer as a Medium for Exploring Mathematics, Cambridge, MA: MIT Press, 1980.

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