Geodesic
Simple partitions of a hyperbolic plane of positive curvature
Sbornik. Mathematics, Tome 203 (2012) no. 9, pp. 1310-1341 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct special monohedral isotropic partitions with symmetries of the hyperbolic plane $\widehat H$ of positive curvature with a simple 4-contour as a cell. An analogue of mosaic in these partitions called a tiling is introduced. Also we consider some fractal tilings. The existence of band tilings in each homological series with code $(m, n)$ is proved. Bibliography: 14 titles.
Keywords: hyperbolic plane of positive curvature, tiling, band tiling, simple tiled and almost tiled partition of the plane $\widehat H$. 
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L. N. Romakina. Simple partitions of a hyperbolic plane of positive curvature. Sbornik. Mathematics, Tome 203 (2012) no. 9, pp. 1310-1341. http://geodesic.mathdoc.fr/item/SM_2012_203_9_a4/

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