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Title: Simple partitions of a hyperbolic plane of positive curvature

Journal Article · · Sbornik. Mathematics
 [1]
  1. Saratov State University named after N. G. Chernyshevsky, Saratov (Russian Federation)

We construct special monohedral isotropic partitions with symmetries of the hyperbolic plane 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.

OSTI ID:
22094059
Journal Information:
Sbornik. Mathematics, Vol. 203, Issue 9; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
Country of Publication:
United States
Language:
English

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