A new metric on spherical f-tilings

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dc.contributor.authorSantos, Altino
dc.date.accessioned2016-11-07T11:39:48Z
dc.date.available2016-11-07T11:39:48Z
dc.date.issued2015-04
dc.description.abstractThe continuous deformation of any spherical isometric folding into the standard spherical folding, fs, defined by fs(x, y, z) = (x, y, |z|), remains an open problem since 1989. Some relations between deformation of spherical isometric foldings and deformation of spherical f-tilings are analyzed, as they are closely related. The natural way to deform f-tilings is based on the Hausdorff metric on compact sets. However this metric does not induce a continuous deformation on its associated isometric foldings. A new metric on spherical f-tilings will be approached and a new contribution to the deformation of isometric foldings (via deformation of f-tilings) will be given.pt
dc.identifier.issn0002-9890
dc.identifier.urihttp://hdl.handle.net/10348/6717
dc.language.isoengpt
dc.peerreviewedyespt
dc.publisherMathematical Association of Americapt
dc.relation.ispartofCM - Centro de Matemáticapt
dc.rightsrestricted accesspt
dc.subjectContinuous deformationpt
dc.subjectisometric foldingpt
dc.subjectmetricpt
dc.subjectspherical tilingpt
dc.titleA new metric on spherical f-tilingspt
dc.typejournal articlept
degois.publication.firstPage354pt
degois.publication.issue4pt
degois.publication.lastPage361pt
degois.publication.titleThe American Mathematical Monthlypt
degois.publication.volume122pt
dspace.entity.typePublicationen
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