Title	Affine unfoldings of convex polyhedra
Creator	Ghomi, Mohammad
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2013-08-05
Description	A well-known problem in geometry, which may be traced back to the Renaissance artist Albrecht Durer, is concerned with cutting a convex polyhedral surface along some spanning tree of its edges so that it may be isometrically embedded into the plane. We show that this is always possible after an affine transformation of the surface. In particular, un- foldability of a convex polyhedron does not depend on its combinatorial structure, which settles a problem of Croft, Falconer, and Guy. Among other techniques, the proof employs a topological characterization for embeddings among immersed planar disks.
Extent	47 minutes
Subject	Mathematics; Differential geometry; Manifolds and cell complexes
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Georgia Institute of Technology
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2014-08-06
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivs 2.5 Canada
DOI	10.14288/1.0043472
URI	http://hdl.handle.net/2429/49419
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
Aggregated Source Repository	DSpace

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