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- Skew_apeirogon abstract "In geometry, an infinite skew polygon, also called a skew apeirogon has vertices that are not all colinear.Two primary forms have been studied by dimension, 2-dimensional zig-zag skew apeirogons vertices alternating between two parallel lines, and 3-dimensional helical skew apeirogons with vertices on the surface of a cylinder. In 2-dimensions they repeat as glide reflections, as screw axis in 3-dimensions.Regular skew apeirogon exist in the petrie polygons of the affine and hyperbolic Coxeter groups. They are constructed a a single operator as the composite of all the reflections of the Coxeter group.".
- Skew_apeirogon thumbnail Regular_apeirogon_zig-zag.png?width=300.
- Skew_apeirogon wikiPageID "45397992".
- Skew_apeirogon wikiPageLength "7795".
- Skew_apeirogon wikiPageOutDegree "60".
- Skew_apeirogon wikiPageRevisionID "651902887".
- Skew_apeirogon wikiPageWikiLink Antiprism.
- Skew_apeirogon wikiPageWikiLink Apeirogon.
- Skew_apeirogon wikiPageWikiLink Boerdijk–Coxeter_helix.
- Skew_apeirogon wikiPageWikiLink Cambridge_University_Press.
- Skew_apeirogon wikiPageWikiLink Category:Polygons.
- Skew_apeirogon wikiPageWikiLink Collinearity.
- Skew_apeirogon wikiPageWikiLink Coxeter.
- Skew_apeirogon wikiPageWikiLink Coxeter_group.
- Skew_apeirogon wikiPageWikiLink Cylinder_(geometry).
- Skew_apeirogon wikiPageWikiLink Frieze_group.
- Skew_apeirogon wikiPageWikiLink Geometry.
- Skew_apeirogon wikiPageWikiLink Glide_reflection.
- Skew_apeirogon wikiPageWikiLink Harold_Scott_MacDonald_Coxeter.
- Skew_apeirogon wikiPageWikiLink Helix.
- Skew_apeirogon wikiPageWikiLink Hyperbolic_geometry.
- Skew_apeirogon wikiPageWikiLink Internal_and_external_angle.
- Skew_apeirogon wikiPageWikiLink Internal_angle.
- Skew_apeirogon wikiPageWikiLink Isogonal_figure.
- Skew_apeirogon wikiPageWikiLink List_of_regular_polytopes_and_compounds.
- Skew_apeirogon wikiPageWikiLink Octahedra.
- Skew_apeirogon wikiPageWikiLink Octahedron.
- Skew_apeirogon wikiPageWikiLink Order-7_triangular_tiling.
- Skew_apeirogon wikiPageWikiLink Perspective_(graphical).
- Skew_apeirogon wikiPageWikiLink Petrie_polygon.
- Skew_apeirogon wikiPageWikiLink Prism.
- Skew_apeirogon wikiPageWikiLink Prism_(geometry).
- Skew_apeirogon wikiPageWikiLink Prismatic_uniform_polyhedron.
- Skew_apeirogon wikiPageWikiLink Regular_Polytopes_(book).
- Skew_apeirogon wikiPageWikiLink Regular_tilings_of_the_hyperbolic_plane.
- Skew_apeirogon wikiPageWikiLink Screw_axis.
- Skew_apeirogon wikiPageWikiLink Skew_polygon.
- Skew_apeirogon wikiPageWikiLink Truncated_order-7_triangular_tiling.
- Skew_apeirogon wikiPageWikiLink Truncated_tetrahedra.
- Skew_apeirogon wikiPageWikiLink Truncated_tetrahedron.
- Skew_apeirogon wikiPageWikiLink File:Coxeter_helix_edges.png.
- Skew_apeirogon wikiPageWikiLink File:Cube_stack_diagonal-face_helix_apeirogon.png.
- Skew_apeirogon wikiPageWikiLink File:Cubic_stack_isogonal_helical_apeirogon.png.
- Skew_apeirogon wikiPageWikiLink File:Elongated_octahedron_stack_isogonal_helical_apeirogon.png.
- Skew_apeirogon wikiPageWikiLink File:Infinite_antiprism.png.
- Skew_apeirogon wikiPageWikiLink File:Isogonal_apeirogon.png.
- Skew_apeirogon wikiPageWikiLink File:Isogonal_apeirogon2-rectangle.png.
- Skew_apeirogon wikiPageWikiLink File:Isogonal_apeirogon2.png.
- Skew_apeirogon wikiPageWikiLink File:Isogonal_apeirogon2a.png.
- Skew_apeirogon wikiPageWikiLink File:Isogonal_apeirogon2b.png.
- Skew_apeirogon wikiPageWikiLink File:Isogonal_apeirogon2c.png.
- Skew_apeirogon wikiPageWikiLink File:Isogonal_apeirogon2d.png.
- Skew_apeirogon wikiPageWikiLink File:Isogonal_apeirogon_skew-equal.png.
- Skew_apeirogon wikiPageWikiLink File:Isogonal_apeirogon_skew-unequal-backwards.png.
- Skew_apeirogon wikiPageWikiLink File:Isogonal_apeirogon_skew-unequal.png.
- Skew_apeirogon wikiPageWikiLink File:Octahedron_stack_helix_apeirogons.png.
- Skew_apeirogon wikiPageWikiLink File:Order-7_triangular_tiling_petrie_polygon.png.
- Skew_apeirogon wikiPageWikiLink File:Petrie_polygons_of_regular_tilings.png.
- Skew_apeirogon wikiPageWikiLink File:Quasiregular_helix_apeirogon_in_truncated_Coxeter_helix.png.
- Skew_apeirogon wikiPageWikiLink File:Quasiregular_skew_apeirogon_in_truncated_order-7_triangular_tiling.png.
- Skew_apeirogon wikiPageWikiLink File:Quasiregular_skew_apeirogon_in_truncated_tilings.png.
- Skew_apeirogon wikiPageWikiLink File:Triangular_helix.png.
- Skew_apeirogon wikiPageWikiLinkText "Skew apeirogon#Helical apeirogons in 3-dimensions".
- Skew_apeirogon wikiPageWikiLinkText "skew apeirogon".
- Skew_apeirogon edges "Infinity".
- Skew_apeirogon hasPhotoCollection Skew_apeirogon.
- Skew_apeirogon name "Regular skew zig-zag apeirogon".
- Skew_apeirogon schläfli "{∞}#{ }".
- Skew_apeirogon symmetry "D∞d, [2+,∞],".
- Skew_apeirogon wikiPageUsesTemplate Template:Citation.
- Skew_apeirogon wikiPageUsesTemplate Template:Cite_book.
- Skew_apeirogon wikiPageUsesTemplate Template:Infobox_Polygon.
- Skew_apeirogon wikiPageUsesTemplate Template:Reflist.
- Skew_apeirogon subject Category:Polygons.
- Skew_apeirogon comment "In geometry, an infinite skew polygon, also called a skew apeirogon has vertices that are not all colinear.Two primary forms have been studied by dimension, 2-dimensional zig-zag skew apeirogons vertices alternating between two parallel lines, and 3-dimensional helical skew apeirogons with vertices on the surface of a cylinder.".
- Skew_apeirogon label "Skew apeirogon".
- Skew_apeirogon sameAs m.012zcwd8.
- Skew_apeirogon wasDerivedFrom Skew_apeirogon?oldid=651902887.
- Skew_apeirogon depiction Regular_apeirogon_zig-zag.png.
- Skew_apeirogon isPrimaryTopicOf Skew_apeirogon.