Home WakeSpace Scholarship › Electronic Theses and Dissertations

Dimensions of Self-Similar Fractals

Electronic Theses and Dissertations

Item Files

Item Details

title
Dimensions of Self-Similar Fractals
author
Glass, Melissa Ann
abstract
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.
subject
dimension
fractals
iterated function systems
math
self-similar
contributor
Raynor, Sarah (committee chair)
Parsley, Jason (committee member)
date
2011-07-14T20:35:13Z (accessioned)
2011-07-14T20:35:13Z (available)
2011 (issued)
degree
Mathematics (discipline)
identifier
http://hdl.handle.net/10339/33433 (uri)
language
en (iso)
publisher
Wake Forest University
type
Thesis

Usage Statistics