MAT 331, Fall 1999
Project 3: Fractals
Due Tuesday, December 14


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.



 


Translated from LaTeX by MAT 331
1999-12-07