Abstract
In this paper we apply some results about general conformal iterated function systems to A , the residual set of a standard Apollonian packing or a curvilinear Sierpinski gasket. Within this context, it is straightforward to show that h , the Hausdorff dimension of A , is greater than 1 and the packing dimension and the upper and lower box counting dimensions are all the same as the Hausdorff dimension. Among other things, we verify Sullivan's result that 0< H h ( A )<∞ and P h ( A )=∞.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
