Geometry of Fractal Squares

This paper will examine analogues of Cantor sets, called fractal squares, and some of the geometric ways in which fractal squares raise issues not raised by Cantor sets. Also discussed will be a technique using directed graphs to prove bilipschitz equivalence of two fractal squares. === Ph. D.

Bibliographic Details
Main Author: Roinestad, Kristine A.
Other Authors: Mathematics
Format: Others
Published: Virginia Tech 2014
Subjects:
Online Access:http://hdl.handle.net/10919/26883
http://scholar.lib.vt.edu/theses/available/etd-04152010-113009/