On the flexibility of Kokotsakis meshes

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dc.creatorKarpenkov, Oleg
dc.date2008-12-16
dc.date.accessioned2026-07-07T12:13:05Z
dc.date.available2026-07-07T12:13:05Z
dc.descriptionIn this paper we study geometric, algebraic, and computational aspects of flexibility and infinitesimal flexibility of Kokotsakis meshes. A Kokotsakis mesh is a mesh that consists of a face in the middle and a certain band of faces attached to the middle face by its perimeter. In particular any 3x3-mesh made of quadrangles is a Kokotsakis mesh. We express the infinitesimal flexibility condition in terms of Ceva and Menelaus theorems. Further we study semi-algebraic properties of the set of flexible meshes and give equations describing it. For 3x3-meshes we obtain flexibility conditions in terms of face angles.
dc.identifierhttps://arxiv.org/abs/0812.3050
dc.identifierhttp://arxiv.org/abs/0812.3050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210756
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subject52C25
dc.titleOn the flexibility of Kokotsakis meshes
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