Title page for ETD etd-04152010-113009


Type of Document Dissertation
Author Roinestad, Kristine A
Author's Email Address karoines@vt.edu
URN etd-04152010-113009
Title Geometry of Fractal Squares
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Haskell, Peter E. Committee Chair
Day, Martin V. Committee Member
Rossi, John F. Committee Member
Thomson, James E. Committee Member
Keywords
  • Self-Similarity
  • Bilipschitz Equivalences
  • Fractal Squares
  • Cantor Sets
Date of Defense 2010-04-12
Availability unrestricted
Abstract
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.

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