Plane application of orbifold classification

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dc.contributor.advisorJurisich, Elizabeth
dc.contributor.committeeMemberCox, Ben
dc.contributor.committeeMemberJohnston-Thom, Kathy
dc.contributor.committeeMemberSmirnov, Oleg
dc.contributor.committeeMemberMitchener, William Garrett
dc.creatorBaynard, William Thorn, III
dc.date.accessioned2016-10-18T16:14:10Z
dc.date.available2016-10-18T16:14:10Z
dc.date.issued2014-08-18
dc.description.abstractThe classification of objects and tilings of the plane through symmetry is an algebraic application used in chemistry, physics, and mathematics. In 1992, John H. Conway and William P. Thurston formulated a classification system based on the geometric notion of an "orbifold". The sophisticated orbifold approach to analyzing symmetry resulted in an elegant, more simplified classification scheme. The following is an exposition of the orbifold classification system with application to the well known 17 plane crystallographic groups.en_US
dc.description.sponsorshipCollege of Charleston. Graduate School College of Charleston. Department of Mathematics.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/3133
dc.language.isoen_USen_US
dc.subjectOrbifolds; Crystallography -- Classificationen_US
dc.titlePlane application of orbifold classificationen_US
dc.typeThesisen_US
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