a cone.
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1 edge, 2 faces, no vertices
2 faces, 1 edge, 0 vertices
2 faces, 1 edge and 1 vertex.
An ellipsoid with a slice removed.
Hemisphere: 2 faces, 1 edge, 0 vertices Square-based pyramid: 5 faces, 8 edges, 5 vertices Cube: 6 faces, 12 edges, 8 vertices