Functions of Substitution Tilings as a Jacobian
Metric Geometry
2012-06-06 v2
Abstract
In this paper we show that the function defined by a primitive, star shaped substitu- tion tiling of the plane, can be realized as a Jacobian of a biLipschitz homeomorphism of R^2. In particular it holds for any Penrose tiling.
Keywords
Cite
@article{arxiv.1005.1375,
title = {Functions of Substitution Tilings as a Jacobian},
author = {Yaar Solomon},
journal= {arXiv preprint arXiv:1005.1375},
year = {2012}
}