How about globe or a sphere
An hemisphere is half of a globe with a circular flat base, a round edge, a curved surface but no vertices.
It has a flat base, a curved surface area, a circular edge and one vertex.
Such a shape probably does not have a specific name.
how many flat surfCES does a cylinder have?
a sphere has 0 flat serfaces 0 vertices
Technically, there's no shape with no surface and no vertices, but a sphere is close. It has no vertices but has just one surface.
0 vertices 0edges 2 flat surfaces
none!all shapes are flat
half a sphere