Not sure, but my best guess would be a circle. Sorry for the inconvenience.
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a cone * * * * * That cannot be correct. The apex of the cone is a vertex. I do not believe that such a shape is possible. Wherever the two faces meet, there will be an edge.
The shape you're looking for that has 2 faces, 0 edges, and 0 vertices would be a cylinder.
No such shape exists. The closest contenders would be: a cylinder - 3 faces, 2 edges, 0 verticies or a cone - 2 faces, 1 edge, 1 vertex
a sphere
No vertices (0). a heart shape is not a polygon shape, only polygon shapes have vertices.