2026-09-18T23:31:31Zhttps://wakespace.lib.wfu.edu/server/oai/request

oai:null:10339/334332026-04-21T20:58:45Zcom_10339_14934col_10339_38132

Glass, Melissa Ann 2011-07-14T20:35:13Z 2011-07-14T20:35:13Z 2011 https://wakespace.lib.wfu.edu/handle/10339/33433 We investigate the topological, similarity and Hausdorff dimensions of self-similar fractals that are the invariant sets of iterated function systems. We start with the Contraction Mapping Theorem, which will give us a constructive method in which to find fractals using iterated function systems. We then define the Hausdorff metric in order to use the Contraction Mapping Theorem to prove that each iterated function system has a unique invariant set. en Wake Forest University dimension fractals iterated function systems math self-similar Dimensions of Self-Similar Fractals Thesis Raynor, Sarah Parsley, Jason Mathematics open.access