Zero vertices
None.
The shape that has no vertices and is round is a circle. The circle is the only shape that does not have vertices.
Depending on how you want to define vertices, a circle either has no vertices or the circle is composed of infinite vertices. A vertex is where two straight edges meet. Since a circle is continuously curved you can easily argue that it has no straight edges to meet and form a vertex. From a limits standpoint though it has infinitely many straight segments - but they are are all of length 1/∞
In this context, an ellipse is equivalent to a circle: it has one edge and one face and no vertices.
Zero vertices
A circle has no vertices around it
None.
A circle has no vertices and it has one face. It could also be argued that a circle is the limiting form of a regular polygon with an infinite number of vertices.
Two.
Two of them
4 faces and 2 vertices.
Infinite
1
None.
faces = 1edges = 0 vertices = 0
The shape that has no vertices and is round is a circle. The circle is the only shape that does not have vertices.