On Torsion Free Subgroups of p32 and Related Colored Tilings
In this paper, we discuss an approach in arriving at a torsion free subgroup of p32 - the group of orientation preserving isometries in a triangle group *p32, using color symmetries of its related tiling. We also present the relation that exists between torsion free subgroups of p32 and precise colo...
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2010
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ph-ateneo-arc.mathematics-faculty-pubs-11022020-06-27T02:19:08Z On Torsion Free Subgroups of p32 and Related Colored Tilings De Las Peñas, Ma. Louise Antonette N Miro, Eden Delight Felix, Rene P In this paper, we discuss an approach in arriving at a torsion free subgroup of p32 - the group of orientation preserving isometries in a triangle group *p32, using color symmetries of its related tiling. We also present the relation that exists between torsion free subgroups of p32 and precise colorings of a 3p tiling. A group is said to be torsion free if all its nonidentity elements are of infinite order. 2010-01-01T08:00:00Z text https://archium.ateneo.edu/mathematics-faculty-pubs/103 http://archive.bridgesmathart.org/2010/bridges2010-383.pdf Mathematics Faculty Publications Archīum Ateneo Mathematics |
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Ateneo De Manila University |
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Ateneo De Manila University Library |
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Asia |
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Philippines Philippines |
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Ateneo De Manila University Library |
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Mathematics |
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Mathematics De Las Peñas, Ma. Louise Antonette N Miro, Eden Delight Felix, Rene P On Torsion Free Subgroups of p32 and Related Colored Tilings |
| description |
In this paper, we discuss an approach in arriving at a torsion free subgroup of p32 - the group of orientation preserving isometries in a triangle group *p32, using color symmetries of its related tiling. We also present the relation that exists between torsion free subgroups of p32 and precise colorings of a 3p tiling. A group is said to be torsion free if all its nonidentity elements are of infinite order. |
| format |
text |
| author |
De Las Peñas, Ma. Louise Antonette N Miro, Eden Delight Felix, Rene P |
| author_facet |
De Las Peñas, Ma. Louise Antonette N Miro, Eden Delight Felix, Rene P |
| author_sort |
De Las Peñas, Ma. Louise Antonette N |
| title |
On Torsion Free Subgroups of p32 and Related Colored Tilings |
| title_short |
On Torsion Free Subgroups of p32 and Related Colored Tilings |
| title_full |
On Torsion Free Subgroups of p32 and Related Colored Tilings |
| title_fullStr |
On Torsion Free Subgroups of p32 and Related Colored Tilings |
| title_full_unstemmed |
On Torsion Free Subgroups of p32 and Related Colored Tilings |
| title_sort |
on torsion free subgroups of p32 and related colored tilings |
| publisher |
Archīum Ateneo |
| publishDate |
2010 |
| url |
https://archium.ateneo.edu/mathematics-faculty-pubs/103 http://archive.bridgesmathart.org/2010/bridges2010-383.pdf |
| _version_ |
1724079164740337664 |