Configuration spaces of convex and embedded polygons in the plane

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dc.creatorShimamoto, Don
dc.creatorWootters, Mary
dc.date2008-11-10
dc.date.accessioned2026-07-07T10:17:09Z
dc.date.available2026-07-07T10:17:09Z
dc.descriptionThis paper studies the configuration spaces of linkages whose underlying graph is a single cycle. Assume that the edge lengths are such that there are no configurations in which all the edges lie along a line. The main results are that, modulo translations and rotations, each component of the space of convex configurations is homeomorphic to a closed Euclidean ball and each component of the space of embedded configurations is homeomorphic to a Euclidean space. This represents an elaboration on the topological information that follows from the convexification theorem of Connelly, Demaine, and Rote.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0811.1365
dc.identifierhttp://arxiv.org/abs/0811.1365
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173755
dc.subjectComputational Geometry
dc.subjectI.3.5
dc.titleConfiguration spaces of convex and embedded polygons in the plane
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