Constructing a uniform plane-filling path in the ternary heptagrid of the hyperbolic plane
Computational Geometry
2007-10-02 v1 Discrete Mathematics
Abstract
In this paper, we distinguish two levels for the plane-filling property. We consider a simple and a strong one. In this paper, we give the construction which proves that the simple plane-filling property also holds for the hyperbolic plane. The plane-filling property was established for the Euclidean plane by J. Kari, in 1994, in the strong version.
Keywords
Cite
@article{arxiv.0710.0232,
title = {Constructing a uniform plane-filling path in the ternary heptagrid of the hyperbolic plane},
author = {Maurice Margenstern},
journal= {arXiv preprint arXiv:0710.0232},
year = {2007}
}