Constructing a uniform plane-filling path in the ternary heptagrid of the hyperbolic plane
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MARGENSTERN, Maurice. Constructing a uniform plane-filling path in the ternary heptagrid of the hyperbolic plane. In: Computer Science Journal of Moldova. 2007, nr. 3(45), pp. 247-277. ISSN 1561-4042.
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Computer Science Journal of Moldova
Numărul 3(45) / 2007 / ISSN 1561-4042

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

CZU: 004+519.6+519.713
Pag. 247-277

Margenstern Maurice
 
Université Paul Verlaine - Metz
 
Disponibil în IBN: 30 noiembrie 2013


Rezumat

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, see [2], in the strong version. We also give an application of the construction to devise a Peano curve in the hyperbolic plane.

Cuvinte-cheie
hyperbolic plane,

tilings, tiling problem, plane- filling property, Peano curve