Reading: pg. 353-405

**1.** Make a Hutchinson map similar to the one for the Cantor set but using
slightly different contraction mappings. Show that it is contractive on H(R), and
discuss its invariant set.

**2.** Make a Hutchinson map similar to the one for the Sierpinski triangle but using
slightly different contraction mappings (all with the same contractivity factor). Show that it is contractive on H(R2), and
discuss its invariant set. Include a plot of the invariant set.

**3.** Make a Hutchinson map similar to the one for the Sierpinski triangle but using
contraction mappings with unequal contractivity factors. Show that it is contractive on H(R2), and
discuss its invariant set. Include a plot of the invariant set.

**4.** Make a Hutchinson map similar to the one for the Sierpinski carpet but using
slightly different contraction mappings (all with the same contractivity factor). Show that it is contractive on H(R2), and
discuss its invariant set. Include a plot of the invariant set.

**5.** Make a Hutchinson map similar to the one for the Sierpinski carpet but using
contraction mappings with unequal contractivity factors. Show that it is contractive on H(R2), and
discuss its invariant set. Include a plot of the invariant set.

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