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

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...

Saved in:

書目詳細資料
Main Authors:	De Las Peñas, Ma. Louise Antonette N, Felix, Rene P, Decena, Ma. Carlotta B
格式:	text
出版:	Archīum Ateneo 2008
主題:	Hyperbolic symmetry groups Index 3 and 4 subgroups of triangle groups Color symmetry Perfect colorings Mathematics
在線閱讀:	https://archium.ateneo.edu/mathematics-faculty-pubs/105 https://www.degruyter.com/view/journals/zkri/223/9/article-p543.xml
標簽:	添加標簽沒有標簽, 成為第一個標記此記錄!

相似書籍

On the Subgroups of the Triangle Group *2p∞
由: Miro, Eden Delight, et al.
出版: (2012)

Local and global color symmetries of a symmetrical pattern
由: Abila, Agatha Kristel, et al.
出版: (2019)

Local and global color symmetries of a symmetrical pattern
由: De Las Peñas, Ma. Louise Antonette N, et al.
出版: (2019)

On subgroups of crystallographic Coxeter groups
由: Miro, Eden Delight, et al.
出版: (2013)

On subgroups of hyperbolic tetrahedral Coxeter groups
由: De Las Peñas, Ma. Louise Antonette N, et al.
出版: (2010)

Semi-perfect colourings of hyperbolic tilings
由: De Las Peñas, Ma. Louise Antonette N, et al.
出版: (2011)

Symmetry Groups Associated With Tilings on a Flat Torus
由: De Las Peñas, Ma. Louise Antonette N, et al.
出版: (2015)

Symmetry groups of single-wall nanotubes
由: De Las Peñas, Ma. Louise Antonette N, et al.
出版: (2014)

Hyperbolic isocoronal tilings
由: Taganap, Eduard C, et al.
出版: (2018)

Colorings of single-wall carbon nanotubes
由: Loyola, Mark, et al.
出版: (2012)

On color fixing groups associated with colored symmetrical tilings
由: Say-Awen, April Lynne D, et al.
出版: (2015)

On the Construction of Colored Plane Crystallographic Patterns
由: De Las Peñas, Ma. Louise Antonette N
出版: (2001)

Crystallographic patterns in Philippine indigenous textiles
由: De Las Peñas, Ma. Louise Antonette N, et al.
出版: (2018)

On a symmetry criterion for conjugacy infinite groups
由: De Sagun, Twilite L., et al.
出版: (1998)

Mathematical and Anthropological Analysis of Northern Luzon Funeral Textile
由: De Las Peñas, Ma. Louise Antonette N, et al.
出版: (2016)

On Color Groups of Bravais Colorings of Planar Modules with Quasicrystallographic Symmetries
由: Bugarin, Enrico Paolo, et al.
出版: (2008)

Weaving Mat(h)s
由: De Las Peñas, Ma. Louise Antonette N, et al.
出版: (2014)

Symmetry properties of single-walled BC 2N nanotubes
由: Pan, H., et al.
出版: (2014)

Normalizers of the congruence subgroups of the Hecke group G5
由: Lang, M.-L., et al.
出版: (2014)

On Uniform Edge-n-colorings of Tilings
由: Abila, Agatha Kristel, et al.
出版: (2024)

Normalizers of the congruence subgroups of the hecke group G5 II
由: Lang, M.-L., et al.
出版: (2014)

k–isotoxal Tilings from [p^n] Tilings
由: Tomenes, Mark D, et al.
出版: (2022)

Hyperbolic Isogonal Tilings from Uniform Edge Colorings
由: Abila, Agatha Kristel, et al.
出版: (2024)

Principal Congruence Subgroups of the Hecke Groups
由: Lang, M.-L., et al.
出版: (2014)

Construction of weavings in the plane
由: Miro, Eden Delight, et al.
出版: (2017)

Indecomposable Sylow 2-subgroups of simple groups
由: Harada, K., et al.
出版: (2014)

Congruence subgroups associated to the monster
由: Chua, K.S., et al.
出版: (2014)

Primitive substitution tilings with rotational symmetries
由: Say-Awen, April Lynne D., et al.
出版: (2018)

On symmetric commutator subgroups, braids, links and homotopy groups
由: Li, J.Y., et al.
出版: (2014)

On Rademacher's conjecture: Congruence subgroups of genus zero of the modular group
由: Chua, K.S., et al.
出版: (2014)

Transformation optics and hidden symmetries
由: Kraft, Matthias, et al.
出版: (2016)

The signatures of the congruence subgroups G0(τ) of the hecke groups G4 and G6
由: Lang, M.-L.
出版: (2014)

Regular symmetry patterns
由: LIN, Anthony W., et al.
出版: (2016)

A color grouping method for detection of object regions based on local saliency
由: Jiayun, W., et al.
出版: (2014)

On Index 2 Subgroups of Hyperbolic Symmetry Groups
由: De Las Peñas, Ma. Louise Antonette N, et al.
出版: (2007)

Groups quasi-isometric to complex hyperbolic space
由: Chow, R.
出版: (2014)

Shapes of hyperbolic triangles and once-punctured torus groups
由: Kim, Sang-hyun, et al.
出版: (2022)

Physics from Symmetry
由: Schwichtenberg, Jakob.
出版: (2018)

Crystallography and the World of Symmetry
由: Chatterjee, Sanat K.
出版: (2017)

Symmetry breaking for semiconductor photocatalysis
由: Di, Jun, et al.
出版: (2024)