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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Main Authors: De Las Peñas, Ma. Louise Antonette N, Miro, Eden Delight, Felix, Rene P
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出版: Archīum Ateneo 2010
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在線閱讀:https://archium.ateneo.edu/mathematics-faculty-pubs/103
http://archive.bridgesmathart.org/2010/bridges2010-383.pdf
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spelling 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
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 Mathematics
spellingShingle 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
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