Dimensions of Unions, Exercise 3

Compute the box-counting dimension of the union of two gaskets.
What box side lengths should be used?
r    
 
N(r)            
 
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
What is the pattern relating N(r) and r?
Compute the box-counting dimension.
 
Here are the solutions.