Exam time and I am having a hard time finding any inspiring questions about fractals for our "contemporary math" course.
We found the perimeter and area of various Koch snowflakes and Sierpinski triangles.
Ideally the questions would be straightforward examinations of these two types of fractals at about the same level of difficulty as the perimeter and area calculations.
Surely there is something else interesting about them?
This is for non-STEM (non-METS) students, so things like logarithms and complex numbers would probably be a bit too intense to spring on the final exam.
Is there some simple way to indicate their fractional dimension? (Some easy to describe way in which they are not 1-dimensional, and they are not 2-dimensional).