Source=http://www.student.wau.nl/~hylke/fractals.html

The Mandelbrot Set

Hint:

• Evaluate the function at that point:
  1^stanswer = (choice)² + (choice).
• Now iterate, that is, put this answer back into the function:
  2^nd answer = (1^stanswer)² + (choice).
• Do this until the (n^th answer) is the same as the ((n - 1)^th answer).
• This means that the point stays in that position for every iterate after. Some points hop between points. If it is within a particular radius of the origin, then it is in the set.

  point zn	zn2	+ z0	answer
  z0=1	?	?	z1
  z1	?	?	z2
  z2	?	?	z3
  z3	?	?	z4

  Use the complex plane to plot the orbit. Check your answers.

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