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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| التنسيق: | text |
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Archīum Ateneo
2008
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| الوصول للمادة أونلاين: | https://archium.ateneo.edu/mathematics-faculty-pubs/105 https://www.degruyter.com/view/journals/zkri/223/9/article-p543.xml |
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ph-ateneo-arc.mathematics-faculty-pubs-11042022-03-18T04:10:08Z Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups De Las Peñas, Ma. Louise Antonette N Felix, Rene P Decena, Ma. Carlotta B 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. 2008-01-01T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/105 https://www.degruyter.com/view/journals/zkri/223/9/article-p543.xml Mathematics Faculty Publications Archīum Ateneo Hyperbolic symmetry groups Index 3 and 4 subgroups of triangle groups Color symmetry Perfect colorings Mathematics |
| institution |
Ateneo De Manila University |
| building |
Ateneo De Manila University Library |
| continent |
Asia |
| country |
Philippines Philippines |
| content_provider |
Ateneo De Manila University Library |
| collection |
archium.Ateneo Institutional Repository |
| topic |
Hyperbolic symmetry groups Index 3 and 4 subgroups of triangle groups Color symmetry Perfect colorings Mathematics |
| spellingShingle |
Hyperbolic symmetry groups Index 3 and 4 subgroups of triangle groups Color symmetry Perfect colorings Mathematics De Las Peñas, Ma. Louise Antonette N Felix, Rene P Decena, Ma. Carlotta B Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups |
| description |
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. |
| format |
text |
| author |
De Las Peñas, Ma. Louise Antonette N Felix, Rene P Decena, Ma. Carlotta B |
| author_facet |
De Las Peñas, Ma. Louise Antonette N Felix, Rene P Decena, Ma. Carlotta B |
| author_sort |
De Las Peñas, Ma. Louise Antonette N |
| title |
Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups |
| title_short |
Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups |
| title_full |
Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups |
| title_fullStr |
Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups |
| title_full_unstemmed |
Enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups |
| title_sort |
enumeration of index 3 and 4 subgroups of hyperbolic triangle symmetry groups |
| publisher |
Archīum Ateneo |
| publishDate |
2008 |
| url |
https://archium.ateneo.edu/mathematics-faculty-pubs/105 https://www.degruyter.com/view/journals/zkri/223/9/article-p543.xml |
| _version_ |
1728621298546900992 |