Iteration Exploration

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Time-15.svg

Objective: Learn how to iterate transformations.

  1. Using the equilateral triangle initiator, show the next three iterations of the rule "rotate 180° and dilate by 1/2".
    Iteration #0 Iteration #1 Iteration #2 Iteration #3 Iteration #4
    Iter-triangle0.svg Iter-triangle1.svg
  2. Show the next iteration of the process:
    Iteration #0 Iteration #1 Iteration #2 Iteration #3
    Iter-h0.svg Iter-h1.svg Iter-h2.svg
  3. Go to http://classes.yale.edu/Fractals and try the iterations in part 1C.

Handin: A sheet with answers to all questions.