Homework #18


Reading: pg. 841-877


1. Create an image of the set corresponding to M for P(z)=z^2+z+c and for P(z)=z^2-2z+c. Comment.

2. Create an image of the set corresponding to M for P(z)=z^3+c and for P(z)=z^4+c. Comment.

3. Create several Julia sets for P(z)=z^3+c and for P(z)=z^4+c. Comment.

4. Discuss the advantages and disadvantages of the IIM and BSM methods (and their modifications) for making images of Julia sets.

5. Use the function sin(1/x) to create a function that is connected but not locally connected.


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