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| Știința și tehnologia calculatoarelor. Calculatoare. Procesarea datelor (4182) |
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 SM ISO690:2012MARGENSTERN, 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 |
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| Numărul 3(45) / 2007 / ISSN 1561-4042 /ISSNe 2587-4330 | ||||||
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| CZU: 004+519.6+519.713 | ||||||
| Pag. 247-277 | ||||||
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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. |
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| Cuvinte-cheie hyperbolic plane, tilings, tiling problem, plane- filling property, Peano curve |
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