1. What is a fractal?
2. Fractals can be generated using iteration of geometric procedures and complex numbers. Explain what iteration means and give an example of iteration of a geometric procedure. (For a challenge, try to make your own!)
3. Discuss the concepts of perimeter and area of fractals.
4. Who is Benoit Mandelbrot and what role did he play in the study of fractals?
5. What role do computers play in the study of fractals?
6. Give the general form of the function that produces the Mandelbrot set and explain how to determine if a complex number is in the set. Use the following numbers as examples to show iteration and determine if the number is in the Mandelbrot set:
z = 1
z = i
z = -1/2
z = 1 + i