Affiliation:
1. University of the Philippines, Institute of Mathematics , Quezon City, Philippinen
2. Philippinen
Abstract
Abstract
This paper explores the area of crystallography on the hyperbolic plane, in particular the study of the subgroup structure of hyperbolic symmetry groups. In this work, the index 3 and 4 subgroups of triangle groups are derived, using color symmetry theory. This paper continues the work started in [7] on index 2 subgroups of hyperbolic symmetry groups.
Subject
Inorganic Chemistry,Condensed Matter Physics,General Materials Science
Cited by
3 articles.
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1. Construction of weavings in the plane;Acta Crystallographica Section A Foundations and Advances;2018-01-01
2. Generalized $M^*$-simple groups;Rocky Mountain Journal of Mathematics;2013-04-01
3. On subgroups of hyperbolic tetrahedral Coxeter groups;Zeitschrift für Kristallographie;2010-08