Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups

Authors

Ma. Louise Antonette N. De Las Peñas, Ateneo de Manila UniversityFollow
Rene P. Felix, University of the Philippines Diliman
Ma. Carlotta B. Decena

Document Type

Article

Publication Date

2008

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.

Recommended Citation

De Las Penas, M. N., Felix, R. P., & Decena, M. B. (2008). Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups, Zeitschrift für Kristallographie - Crystalline Materials, 223(9), 543-551. doi: https://doi.org/10.1524/zkri.2008.1022