In this project, you are asked to define a fractal of your choice whose box-counting dimension is log 5/log 4. Describe clearly how you construct such a set and prove that its dimension is the requested number. Also, plot the first 6 Lindenmeyer approximating curves to the fractal.
As always, pay attention to clarity of exposition; and describe what you do at each step from a mathematical viewpoint, not as a commentary on how to use Maple. In your proof you can use the results we proved in class.
Bonus: Do the same thing for a fractal of box dimension log 7/log 4.