Deformation of f-tilings versus deformation of isometric foldings

Data
2012
Autores
Santos, Altino
Avelino, Catarina
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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.
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Spherical f-tiling , Isometric folding , Deformation
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