USING EPSILON HULLS TO CHARACTERIZE AND CLASSIFY TOTALLY DISCONNECTED SIERPIŃSKI RELATIVES
Tessa Dwyer Stayci Taylor · Fractals · 2015
This paper presents an investigation of the use of ϵ-hulls to characterize and classify the totally disconnected Sierpiński relatives. These fractals all have the same fractal dimension, and the same topologies, but the ϵ-hulls provide ways to distinguish between such relatives. Examples of specific relatives are presented to illustrate the theory.