I believe that the only polyhedron or polygon that own all of these features to be a sphere
cylinder
There can be no such shape.
It could be a sphere
One possible answer is an infinite cone. Spheres have one face but no vertex. No physical 3-D shape can have a vertex without having more than one face (a real cone typically has two: side and bottom).
Sphere.
a sphere
A sphere has no faces, edges, or vertices.
A sphere has no edges or edges but its face is globular.
square
0 edges, 1 face and 0 vertices.
Sphere ( 0 faces , 0 edges , 0 vertices )
1 face, 1 edges & 0 vertices
There are two faces, 0 edges, 0 vertices, and 1 base of a cylinder?
I believe that the only polyhedron or polygon that own all of these features to be a sphere
sphere
faces = 1edges = 0 vertices = 0