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DEFORMATION OF F-TILINGS VERSUS DEFORMATION OF ISOMETRIC FOLDINGS
https://doi.org/10.1142/S0129167X12500929Cited by:2 (Source: Crossref)
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 τs = {(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.
AMSC: 52C20, 57Q55, 55P10, 52B05
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