Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups
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...
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| Main Authors: | , , |
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| Format: | text |
| Published: |
Archīum Ateneo
2008
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| Subjects: | |
| Online Access: | https://archium.ateneo.edu/mathematics-faculty-pubs/105 https://www.degruyter.com/view/journals/zkri/223/9/article-p543.xml |
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| Institution: | Ateneo De Manila University |
| Summary: | 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. |
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