Reading: pg. 63-111; 135-152; 168-181

**1.** Construct the n=0 through n=3 stages of the Koch island.

**2.** Construct the n=0 through n=3 stages of the Sierpinski gasket

**3.** Construct the n=0 through n=3 stages of the Sierpinski carpet.

**4.** Compute the similarity dimension of the Menger sponge.

**5.** All four of these objects have topoligical dimension one. Comment on
the possibility of using them to model natural phenomena.

*Maintainer*: leader@rose-hulman.edu.