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- Isogonal_figure abstract "In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isogonal or vertex-transitive if, loosely speaking, all its vertices are the same. That implies that each vertex is surrounded by the same kinds of face in the same or reverse order, and with the same angles between corresponding faces.Technically, we say that for any two vertices there exists a symmetry of the polytope mapping the first isometrically onto the second. Other ways of saying this are that the group of automorphisms of the polytope is transitive on its vertices, or that the vertices lie within a single symmetry orbit.The term isogonal has long been used for polyhedra. Vertex-transitive is a synonym borrowed from modern ideas such as symmetry groups and graph theory.The pseudorhombicuboctahedron — which is not isogonal — demonstrates that simply asserting that "all vertices look the same" is not as restrictive as the definition used here, which involves the group of isometries preserving the polyhedron or tiling.".
- Isogonal_figure thumbnail Vertex-transitive-octagon.svg?width=300.
- Isogonal_figure wikiPageExternalLink mosaic2000.
- Isogonal_figure wikiPageExternalLink tilings.html.
- Isogonal_figure wikiPageExternalLink uniftil.htm.
- Isogonal_figure wikiPageID "581560".
- Isogonal_figure wikiPageRevisionID "643698361".
- Isogonal_figure anchor "Isogonal".
- Isogonal_figure anchor "Transitivity".
- Isogonal_figure hasPhotoCollection Isogonal_figure.
- Isogonal_figure title "Demiregular tessellations".
- Isogonal_figure title "Isogonal".
- Isogonal_figure title "Transitivity".
- Isogonal_figure title "Vertex-transitive graph".
- Isogonal_figure urlname "DemiregularTessellation".
- Isogonal_figure urlname "Vertex-TransitiveGraph".
- Isogonal_figure subject Category:Polyhedra.
- Isogonal_figure subject Category:Polytopes.
- Isogonal_figure comment "In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isogonal or vertex-transitive if, loosely speaking, all its vertices are the same. That implies that each vertex is surrounded by the same kinds of face in the same or reverse order, and with the same angles between corresponding faces.Technically, we say that for any two vertices there exists a symmetry of the polytope mapping the first isometrically onto the second.".
- Isogonal_figure label "Figura isogonal".
- Isogonal_figure label "Figure isogonale".
- Isogonal_figure label "Isogonal figure".
- Isogonal_figure label "점추이".
- Isogonal_figure sameAs Figure_isogonale.
- Isogonal_figure sameAs 점추이.
- Isogonal_figure sameAs m.025tmhm.
- Isogonal_figure sameAs Q3071715.
- Isogonal_figure sameAs Q3071715.
- Isogonal_figure wasDerivedFrom Isogonal_figure?oldid=643698361.
- Isogonal_figure depiction Vertex-transitive-octagon.svg.
- Isogonal_figure isPrimaryTopicOf Isogonal_figure.