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Generating Functions for Hyperbolic Plane Tessellations

dc.contributor.authorXie, Jiale
dc.date.accessioned2017-08-28T15:14:54Z
dc.date.available2017-08-28T15:14:54Z
dc.date.issued2017-08-28
dc.date.submitted2017-08-23
dc.description.abstractFor a hyperbolic plane tessellation there is a generating function with respect to the distance. This generating function is the same as the growth function of a group of isometries of hyperbolic plane that acts regularly in the tessellation. For most of the tessellation the generating functions have a symmetric form. In this thesis we will show the computation of the generating function for the hyperbolic plane tessellation and find the tessellations that have a symmetric form in the generating functions.en
dc.identifier.urihttp://hdl.handle.net/10012/12233
dc.language.isoenen
dc.pendingfalse
dc.publisherUniversity of Waterlooen
dc.titleGenerating Functions for Hyperbolic Plane Tessellationsen
dc.typeMaster Thesisen
uws-etd.degreeMaster of Mathematicsen
uws-etd.degree.departmentCombinatorics and Optimizationen
uws-etd.degree.disciplineCombinatorics and Optimizationen
uws-etd.degree.grantorUniversity of Waterlooen
uws.contributor.advisorWagner, David
uws.contributor.affiliation1Faculty of Mathematicsen
uws.peerReviewStatusUnrevieweden
uws.published.cityWaterlooen
uws.published.countryCanadaen
uws.published.provinceOntarioen
uws.scholarLevelGraduateen
uws.typeOfResourceTexten

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