Authors: Elizaveta Zamorzaeva
Abstract
There are 2 types of isohedral tilings of the Euclidean
plane with disks for the translation group $p1$. In the hyperbolic
plane there exist countably many translation groups, each
translation group is characterized by its genus. The present
article continues work [7] and studies isohedral tilings of the
hyperbolic plane with disks for the translation group of genus
two. We use the technique of adjacency symbols, developed by
B.~N.~Delone for the Euclidean plane. In [7] isohedral tilings of
the hyperbolic plane with 8-, 10- and 12-gons were obtained. In
the present article isohedral tilings of the hyperbolic plane
with 14-, 16- and 18-gons are obtained, thus completing the
enumeration.
Moldova State University,
60 Mateevici str., Chisinau, MD-2009
Republic of Moldova
E-mail:
Fulltext
–
0.14 Mb