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arXiv · 0710.0232

Constructing a uniform plane-filling path in the ternary heptagrid of the hyperbolic plane

Maurice Margenstern
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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.

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Maurice Margenstern. 2007-10-01. Constructing a uniform plane-filling path in the ternary heptagrid of the hyperbolic plane. https://arxiv.org/abs/0710.0232

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