Mecejide wrote:Elements of a uniform polytope don't have to be vertex-transitive under the symmetry of the polytope, only their own.
Mecejide wrote:Wait it actually was the other way around.
Klitzing wrote:Mecejide wrote:Wait it actually was the other way around.
What are you refering by “it”?
--- rk
ubersketch wrote:The snub cuboctahedron and snub icosidodecahedron have triangles on the edges of the squares or pentagons which don't seem to be vertex-transitive, as there are three separate edges connecting to a square or pentagon, a triangle of the same type, and a triangle of a different type.
mr_e_man wrote:ubersketch wrote:The snub cuboctahedron and snub icosidodecahedron have triangles on the edges of the squares or pentagons which don't seem to be vertex-transitive, as there are three separate edges connecting to a square or pentagon, a triangle of the same type, and a triangle of a different type.
Vertex-transitivity means that any vertex of the object can be sent to any other vertex by a symmetry of the same object. A regular triangle is vertex-transitive by itself; the surrounding faces are irrelevant. The snub cube is vertex-transitive; this makes no reference to its triangular faces.
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