About: Triangle group

An Entity of Type: Thing, from Named Graph: http://dbpedia.org, within Data Space: dbpedia-live.demo.openlinksw.com

Group realized geometrically by reflections across the sides of a triangle

Property	Value
dbo:description	grupul reflexiilor față de laturile unui triunghi (ro) Group realized geometrically by reflections across the sides of a triangle (en) Estructura algebraica de las reflexiones respecto a los tres lados de un triángulo (es)
dbo:thumbnail	wiki-commons:Special:FilePath/Tiling_Dual_Semiregul...6-12_Bisected_Hexagonal.svg?width=300
dbo:wikiPageExternalLink	http://web.mat.bham.ac.uk/R.A.Wilson/pubs/MHurwitz.ps https://books.google.com/books%3Fid=iLkzandfCc8C&pg=PA52 https://books.google.com/books%3Fid=mrv9OJVdy_cC&pg=RA1%E2%80%93PA279 http://www.xs4all.nl/~westy31/Geometry/vlib.gif http://www-personal.umich.edu/~bethchen/macosx/trigroup.html
dbo:wikiPageWikiLink	dbr:Non-Euclidean_crystallographic_group dbr:Coxeter_group dbr:File:Tiling_Dual_Semiregular_V4-6-12_Bisected_Hexagonal.svg dbc:Euclidean_geometry dbr:Rotation dbr:Tessellation dbc:Properties_of_groups dbr:Euclidean_plane dbr:Integer dbr:Sphere dbr:William_Rowan_Hamilton dbr:Radian dbr:Riemann_surface dbr:Triangular_tiling dbr:Group_(mathematics) dbr:Discrete_group dbr:Alexander_Grothendieck dbr:Symmetry_group dbr:Schwarz_triangle dbr:Mathematics dbc:Hyperbolic_geometry dbr:Gauss–Bonnet_theorem dbr:Elliptic_geometry dbr:Cube dbr:Modular_group dbr:Tetrakis_square_tiling dbr:Euclidean_geometry dbc:Polyhedra dbr:Dodecahedron dbr:Index_of_a_subgroup dbr:Academic_Press dbc:Tessellation dbr:Upper_half-plane dbc:Geometric_group_theory dbr:Hyperbolic_group dbr:Reflection_(mathematics) dbr:Icosahedron dbr:Octahedron dbr:Platonic_solid dbr:Fuchsian_group dbr:Barycentric_subdivision dbc:Spherical_trigonometry dbr:Congruence_(geometry) dbr:Tetrahedron dbr:Subgroup dbr:Wallpaper_group dbr:Fundamental_domain dbr:Hyperbolic_space dbr:Uniform_tilings_in_hyperbolic_plane dbr:Walther_von_Dyck dbr:Regular_polygon dbc:Finite_groups dbc:Coxeter_groups dbr:Hyperbolic_triangle dbr:Hurwitz's_automorphisms_theorem dbr:Digon dbr:Triangle dbr:Arithmetic_geometry dbr:Sporadic_group dbr:(2,3,7)_triangle_group dbr:Dihedral_symmetry dbr:Geometric_group_theory dbr:Density_(polytope) dbr:Icosian_calculus dbr:Reflection_group dbr:Bisected_hexagonal_tiling dbr:Orientation_(vector_space) dbr:Group_presentation dbr:Möbius_triangle dbr:Mikhail_Gromov_(mathematician) dbr:Hosohedra dbr:File:Tiling_Regular_3-6_Triangular.svg dbr:File:Spherical_decagonal_bipyramid2.png dbr:File:Spherical_dodecagonal_bipyramid2.png dbr:File:Spherical_hexagonal_bipyramid2.png dbr:File:Spherical_octagonal_bipyramid2.png dbr:File:Spherical_square_bipyramid2.svg dbr:File:H2checkers_238.png dbr:File:H2checkers_23i.png dbr:File:H2checkers_245.png dbr:File:H2checkers_246.png dbr:File:H2checkers_247.png dbr:File:H2checkers_248.png dbr:File:H2checkers_24i.png dbr:File:H2checkers_255.png dbr:File:H2checkers_256.png dbr:File:H2checkers_257.png dbr:File:H2checkers_266.png dbr:File:H2checkers_2ii.png dbr:File:H2checkers_334.png dbr:File:H2checkers_335.png dbr:File:H2checkers_336.png dbr:File:H2checkers_337.png dbr:File:H2checkers_33i.png dbr:File:H2checkers_344.png dbr:File:H2checkers_366.png dbr:File:H2checkers_3ii.png dbr:File:H2checkers_666.png dbr:File:Hyperbolic_domains_932_black.png dbr:File:Infinite-order_triangular_tiling.svg dbr:File:Wallpaper_group_diagram_p4m_square.svg dbr:File:Wallpaper_group_diagram_p3m1.svg dbr:File:1-uniform_2_dual.svg dbr:Belyi_function dbr:Coprime dbr:File:Icosahedral_reflection_domains.png dbr:File:Octahedral_reflection_domains.png dbr:File:Tetrahedral_reflection_domains.png dbr:Dessins_d'enfants dbr:Reflection_through_the_origin dbr:Spherical_tiling dbr:Dihedra dbr:Disdyakis_cube dbr:Elliptic_tiling dbr:File:H2checkers_237.png dbr:Icosahedral_group dbr:Central_symmetry dbr:Hecke_group dbr:Schwarz_triangle_map dbr:File:Wallpaper_group_diagram_p6m.svg
dbp:id	5925 (xsd:integer)
dbp:title	Triangle groups (en)
dbp:wikiPageUsesTemplate	dbt:External_media dbt:Reflist dbt:PlanetMath_attribution dbt:Citation dbt:Further dbt:Refend dbt:About dbt:Refbegin dbt:Refimprove dbt:Short_description
dct:subject	dbc:Euclidean_geometry dbc:Properties_of_groups dbc:Hyperbolic_geometry dbc:Polyhedra dbc:Tessellation dbc:Geometric_group_theory dbc:Spherical_trigonometry dbc:Finite_groups dbc:Coxeter_groups
gold:hypernym	dbr:Group
rdfs:label	Triangle group (en) Grupo triangular (es) Gruppo triangolare (it) 삼각군 (ko) Driehoeksgroep (nl) Группа треугольника (ru)
owl:sameAs	freebase:Triangle group yago-res:Triangle group wikidata:Triangle group dbpedia-it:Triangle group dbpedia-nl:Triangle group dbpedia-es:Triangle group dbpedia-ru:Triangle group dbpedia-ko:Triangle group dbpedia-global:Triangle group dbr:Triangle group
prov:wasDerivedFrom	wikipedia-en:Triangle_group?oldid=1292181805&ns=0
foaf:depiction	wiki-commons:Special:FilePath/Icosahedral_reflection_domains.png wiki-commons:Special:FilePath/1-uniform_2_dual.svg wiki-commons:Special:FilePath/H2checkers_237.png wiki-commons:Special:FilePath/H2checkers_238.png wiki-commons:Special:FilePath/H2checkers_23i.png wiki-commons:Special:FilePath/H2checkers_245.png wiki-commons:Special:FilePath/H2checkers_246.png wiki-commons:Special:FilePath/H2checkers_247.png wiki-commons:Special:FilePath/H2checkers_248.png wiki-commons:Special:FilePath/H2checkers_24i.png wiki-commons:Special:FilePath/H2checkers_255.png wiki-commons:Special:FilePath/H2checkers_256.png wiki-commons:Special:FilePath/H2checkers_257.png wiki-commons:Special:FilePath/H2checkers_266.png wiki-commons:Special:FilePath/H2checkers_2ii.png wiki-commons:Special:FilePath/H2checkers_334.png wiki-commons:Special:FilePath/H2checkers_335.png wiki-commons:Special:FilePath/H2checkers_336.png wiki-commons:Special:FilePath/H2checkers_337.png wiki-commons:Special:FilePath/H2checkers_33i.png wiki-commons:Special:FilePath/H2checkers_344.png wiki-commons:Special:FilePath/H2checkers_366.png wiki-commons:Special:FilePath/H2checkers_3ii.png wiki-commons:Special:FilePath/H2checkers_666.png wiki-commons:Special:FilePath/Hyperbolic_domains_932_black.png wiki-commons:Special:FilePath/Infinite-order_triangular_tiling.svg wiki-commons:Special:FilePath/Octahedral_reflection_domains.png wiki-commons:Special:FilePath/Spherical_decagonal_bipyramid2.png wiki-commons:Special:FilePath/Spherical_dodecagonal_bipyramid2.png wiki-commons:Special:FilePath/Spherical_hexagonal_bipyramid2.png wiki-commons:Special:FilePath/Spherical_octagonal_bipyramid2.png wiki-commons:Special:FilePath/Spherical_square_bipyramid2.svg wiki-commons:Special:FilePath/Tetrahedral_reflection_domains.png wiki-commons:Special:FilePath/Tiling_Dual_Semiregular_V4-6-12_Bisected_Hexagonal.svg wiki-commons:Special:FilePath/Tiling_Regular_3-6_Triangular.svg wiki-commons:Special:FilePath/Wallpaper_group_diagram_p3m1.svg wiki-commons:Special:FilePath/Wallpaper_group_diagram_p4m_square.svg wiki-commons:Special:FilePath/Wallpaper_group_diagram_p6m.svg
foaf:isPrimaryTopicOf	wikipedia-en:Triangle_group
is dbo:wikiPageRedirects of	dbr:Von_Dyck_group dbr:Triangle_groups dbr:Triangular_group
is dbo:wikiPageWikiLink of	dbr:Non-Euclidean_crystallographic_group dbr:Coxeter_group dbr:Schwarz_triangle_function dbr:Hypergeometric_function dbr:List_of_triangle_topics dbr:Discrete_group dbr:Coxeter_notation dbr:Schwarz_triangle dbr:Modular_group dbr:Growth_rate_(group_theory) dbr:Unit_fraction dbr:Dessin_d'enfant dbr:Exceptional_object dbr:Orbifold dbr:Hyperbolic_group dbr:Fuchsian_group dbr:Ideal_triangle dbr:Discrete_geometry dbr:Uniform_tilings_in_hyperbolic_plane dbr:Bolza_surface dbr:Special_right_triangle dbr:Schwarz's_list dbr:Tetrahedral_symmetry dbr:Coxeter–Dynkin_diagram dbr:Hyperbolic_triangle dbr:3-7_kisrhombille dbr:Order-3_apeirogonal_tiling dbr:Hyperbolic_geometry dbr:Klein_quartic dbr:(2,3,7)_triangle_group dbr:Icosahedral_symmetry dbr:Icosian_calculus dbr:Reflection_group dbr:Regular_map_(graph_theory) dbr:Circle_Limit_III dbr:List_of_finite_spherical_symmetry_groups dbr:Von_Dyck_group dbr:Triangle_groups dbr:Triangular_group
is foaf:primaryTopic of	wikipedia-en:Triangle_group