English

On the morphisms of fractal curves that increase their smoothness

Metric Geometry 2015-02-03 v1 Geometric Topology

Abstract

We propose a construction which transforms a self-similar zipper in Rn\mathbb R^n to a self-affine zipper Rn+1\mathbb R^{n+1} whose attractor is a smooth curve.

Keywords

Cite

@article{arxiv.1502.00351,
  title  = {On the morphisms of fractal curves that increase their smoothness},
  author = {Kirill Kamalutdinov and Svetlana Sorokina},
  journal= {arXiv preprint arXiv:1502.00351},
  year   = {2015}
}