Any integer which is 4 or more.
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A polyhedron has 30 edges and 12 vertices. How many faces does it have
A sphere is not a polyhedron because it has no edges, no vertices and no flat faces The word 'polyhedron' means many faces.
eight
For a simply connected polyhedron,Faces + Vertices = Edges + 2
I do not believe that such a shape exists.