Please use this identifier to cite or link to this item: http://hdl.handle.net/10348/3393
Title: DEFORMATION OF F-TILINGS VERSUS DEFORMATION OF ISOMETRIC FOLDINGS
Authors: Santos, Altino
Avelino, Catarina
Keywords: Spherical f-tiling
Isometric folding
Deformation
Issue Date: 2012
Abstract: We present some relations between deformation of spherical isometric foldings and deformation of spherical f-tilings. The natural way to deform f-tilings is based on the Hausdorff metric on compact sets. It is conjectured that any f-tiling is (continuously) deformable in the standard f-tiling τ_s = {(x, y, z) ∈ S2 : z = 0} and it is shown that the deformation of f-tilings does not induce a continuous deformation on its associated isometric foldings.
Peer Reviewed: yes
URI: http://hdl.handle.net/10348/3393
ISSN: 0129-167X
Document Type: Article
Appears in Collections:OLD - DMAT - Artigo em Revista Científica Internacional

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