Chapter 6 Generalizing self-similarity
Introduction.
The self-similar sets developed in chapter 2 form an important class of sets for two main reasons; they are complicated enough to display the fine level of detail we expect of fractal sets, yet they are regular enough to allow some level of analysis. Self-similarity is a very restrictive condition, however. In this chapter, we’ll explore two natural generalizations of self-similarity - self-affinity and digraph self-similarity.