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Virginia Tech

Geometry of Fractal Squares

Abstract

dc:description.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.

Degree

thesis:*
Name thesis:degree_name
Ph. D.
Level thesis:degree_level
doctoral
Discipline thesis:degree_discipline
Mathematics
Department dc:contributor.department
Mathematics
Grantor dc:publisher
Virginia Tech
Year dc:date.issued
2010

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Roinestad, Kristine A.
Chair dc:contributor.committeechair
  • Haskell, Peter E.
Committee members dc:contributor.committeemember
  • Rossi, John F.
  • Day, Martin V.
  • Thomson, James E.

Subjects

dc:subject × 4

Rights

dc:rights
Statement dc:rights
  • In Copyright

Identifiers

dc:identifier.*
Dc Identifier Other
etd-04152010-113009
OAI identifier oai:identifier
oai:vtechworks.lib.vt.edu:10919/26883

Chain of custody

source
Harvested from
Virginia Tech
Base URL
vtechworks.lib.vt.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Roinestad, Kristine A.. Geometry of Fractal Squares. doctoral thesis, Virginia Tech, 2010. http://hdl.handle.net/10919/26883