Unfolding Convex Polyhedra via Quasigeodesic Star Unfoldings

dc.creatorItoh, Jin-ichi
dc.creatorO'Rourke, Joseph
dc.creatorVîlcu, Costin
dc.date2008-12-12
dc.date.accessioned2026-07-07T12:12:20Z
dc.date.available2026-07-07T12:12:20Z
dc.descriptionWe extend the notion of a star unfolding to be based on a simple quasigeodesic loop Q rather than on a point. This gives a new general method to unfold the surface of any convex polyhedron P to a simple, planar polygon: shortest paths from all vertices of P to Q are cut, and all but one segment of Q is cut.
dc.description18 pages, 10 figures
dc.identifierhttps://arxiv.org/abs/0812.2257
dc.identifierhttp://arxiv.org/abs/0812.2257
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210516
dc.subjectComputational Geometry
dc.subjectF.2.2
dc.titleUnfolding Convex Polyhedra via Quasigeodesic Star Unfoldings
dc.typetext

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