
First, here is an example of a selfsimilar fractal whose
dimension we can't compute from the similarity dimension formula. 

Derivation of the Moran equation. We reexpress the
similarity dimension formula in a way that allows us to compute dimensions of fractals made of different size pieces. 

Though it may not be obvious from its form, the Moran equation has a unique
solution. The proof of this uses a small amount of calculus. 

Here are some examples of solving the Moran equation.
We give a numerical approach that always works, and an abstract approach that works for a special class of
fractals. 

Exercises in computing the similarity dimension
using the Moran equation. 