Geometry of Fractal Squares

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dc.contributor.authorRoinestad, Kristine A.en
dc.contributor.committeechairHaskell, Peter E.en
dc.contributor.committeememberRossi, John F.en
dc.contributor.committeememberDay, Martin V.en
dc.contributor.committeememberThomson, James E.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:09:42Zen
dc.date.adate2010-04-29en
dc.date.available2014-03-14T20:09:42Zen
dc.date.issued2010-04-12en
dc.date.rdate2010-04-29en
dc.date.sdate2010-04-15en
dc.description.abstractThis 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.en
dc.description.degreePh. D.en
dc.identifier.otheretd-04152010-113009en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-04152010-113009/en
dc.identifier.urihttp://hdl.handle.net/10919/26883en
dc.publisherVirginia Techen
dc.relation.haspartRoinestad_KA_D_2010.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectSelf-Similarityen
dc.subjectBilipschitz Equivalencesen
dc.subjectFractal Squaresen
dc.subjectCantor Setsen
dc.titleGeometry of Fractal Squaresen
dc.typeDissertationen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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