Read 15.1, 15.2, 16.1, skim 16.2 and 16.3, read 16.4
p. 218
1. ade Answers should be in the form x + iy.
2. abde
3. abde
5. abcd
9 (just show that -1 + i is on a 2-cycle, and use the
Fractal
Microscope on the appropriate Julia set to determine whether the cycle
is attracting or repelling)
Use the Fractal Microscope to finish Experiment 16.5 on p.238-9. Remember that to get to the Julia set applet, you have to select "Show me the Julia set" at the first screen, then click somewhere in the picture to get to the Julia set. Write a one-paragraph essay as described in the Results section.
Go to my Julia
Quilt page. The idea is to make lots of little Julia set pictures
and get an idea of how they change as c changes--a sort of catalog
of Julia sets. The Julia sets pictured are for the x and y
values indicated on the table. Use the
Fractal
Microscope to generate 32x32 pixel pictures of the Julia sets for the
8 squares where your initials appear, and email
me the pictures.