A vertex is a corner on a polygon, polytope or polyhedron, and when faces, facets or edges of an object come together, a vertex forms; however, because a sphere features no meeting points, it has no vertices. Even though a sphere does have one continuous surface, its lack of meeting points with any other surface means that it technically has no faces. Spheres have no lines, so they also have no edges.
Spheres have some oddities that make them different from all other threedimensional objects that students learn about in geometry. It always has perfect symmetry, by definition, and it is not a polyhedron (because it has no faces). On any sphere, all of the surface points are precisely the same distance from the middle.
Among all of the threedimensional shapes, spheres can contain the most volume for a set surface area. This means that when comparing a pyramid and sphere with identical surface area values, for example, the sphere has more volume. To see proof of this in action, an individual can pick up a balloon and start inflating it. The flexible material allows it to take any shape, but the most efficient is a sphere (or at least a spheroid) because that holds more air than any other shape.
Spherical objects have no vertices. Vertices are the point at which two lines meet and technically a Sphere is made from only arced line.
http://wiki.answers.com/Q/How_many_vertices_are_on...

This is a good one. According to the definition in geometry a vertex is a corner. A triangle has 3 vertices A square has 4 vertices So far it is a piece of cake. So how many corners
http://answers.yahoo.com/question/index?qid=200606...

I'm not sure I get how big this sphere is. I will assume the center is at (0,0) so the radius is 10. I know that a point on the edge follows a cos() wave. If the sphere completes
http://en.allexperts.com/q/AdvancedMath1363/2009...

A vertex can either be the intersection of polygon edges, or a local extremum. A sphere has none of the former type, but an infinite number of the latter type. Everywhere on a sphere
http://www.blurtit.com/q492983.html
