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dc.contributor.authorSantangelo, Chrisen_US
dc.date.accessioned2013-02-15T21:22:25Z
dc.date.available2013-02-15T21:22:25Z
dc.date.issued2013-01-14
dc.identifier.urihttp://hdl.handle.net/1853/46216
dc.descriptionPresented on January 14, 2013 from 3:00 to 4:00 pm in Marcus Nanotechnology Conference room 1116.en_US
dc.descriptionRuntime: 53:54 minutes.en_US
dc.description.abstractDespite their everyday familiarity, thin sheets (paper, plastic, fabric, etc.) display remarkable and complex behaviors that still challenge theoretical description. The intricate coupling between the geometry of surfaces and the elasticity of a thin sheet necessarily leads to the formation of singularities, nonlinear elasticity, and geometric frustration. Nevertheless, multicellular organisms - like you - develop their three dimensional structures in part by exploiting these elastic phenomena. These considerations have led to new theoretical and experimental tools to shape elastic sheets into prescribed 3D shapes using the principles of non-Euclidean geometry. I will describe our attempts to design sheets that fold controllably into 3D structures and some related problems in the mechanics of origami, where 3D structure is developed by folding a piece of paper. These techniques open up new avenues in "experimental mathematics", allowing us to explore geometry experimentally.en_US
dc.format.extent53:54 minutes
dc.language.isoen_USen_US
dc.publisherGeorgia Institute of Technologyen_US
dc.subjectElastic sheetsen_US
dc.subjectGeometry of surfacesen_US
dc.subjectNon-Euclidean geometryen_US
dc.titleUsing Growth and Folding to Shape Elastic Sheetsen_US
dc.typeLectureen_US
dc.typeVideoen_US
dc.contributor.corporatenameUniversity of Massachusetts at Amhersten_US
dc.contributor.corporatenameGeorgia Institute of Technology. School of Physicsen_US


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