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dc.contributor.authorSun, Julieen
dc.date.accessioned2006-08-22 14:23:16 (GMT)
dc.date.available2006-08-22 14:23:16 (GMT)
dc.date.issued1999en
dc.date.submitted1999en
dc.identifier.urihttp://hdl.handle.net/10012/1111
dc.description.abstractIn this thesis, we study foldings of orthogonal polygons into orthogonal polyhedra. The particular problem examined here is whether a paper cutout of an orthogonal polygon with fold lines indicated folds up into a simple orthogonal polyhedron. The folds are orthogonal and the direction of the fold (upward or downward) is also given. We present a polynomial time algorithm to solve this problem. Next we consider the same problem with the exception that the direction of the folds are not given. We prove that this problem is NP-complete. Once it has been determined that a polygon does fold into a polyhedron, we consider some restrictions on the actual folding process, modelling the case when the polyhedron is constructed from a stiff material such as sheet metal. We show an example of a polygon that cannot be folded into a polyhedron if folds can only be executed one at a time. Removing this restriction, we show another polygon that cannot be folded into a polyhedron using rigid material.en
dc.formatapplication/pdfen
dc.format.extent254674 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherUniversity of Waterlooen
dc.rightsCopyright: 1999, Sun, Julie. All rights reserved.en
dc.subjectComputer Scienceen
dc.subjectfoldingen
dc.subjectorthogonalen
dc.subjectpolyhedraen
dc.subjectrectilinearen
dc.subjectpaperen
dc.subjectcutouten
dc.titleFolding Orthogonal Polyhedraen
dc.typeMaster Thesisen
dc.pendingfalseen
uws-etd.degree.departmentSchool of Computer Scienceen
uws-etd.degreeMaster of Mathematicsen
uws.typeOfResourceTexten
uws.peerReviewStatusUnrevieweden
uws.scholarLevelGraduateen


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