Describe in general terms the process of finding a polar formula from the radial measurements on a seashell picture.
What happens when you zoom in at the center of an equiangular spiral? The behavior you observed is called self-similarity. Explain the name.
What remains constant as r grows in an equiangular spiral?
Describe in geometric terms why the equiangular spiral has the name it has.
What is the shape of an equiangular spiral with beta = pi/2? How is this reflected in the formula for r as a function of theta? How is it reflected in the relationship between beta and k?