since the base is a hexagon my guess if this has a name would be: hexagonal pyramid
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Faces: 7 Vertices: 7 Edges: 12
A hexagonal pyramid has 12 edges, 7 vertices and 7 faces.
Hemisphere: 2 faces, 1 edge, 0 vertices Square-based pyramid: 5 faces, 8 edges, 5 vertices Cube: 6 faces, 12 edges, 8 vertices
A regular dodecahedron has 20 vertices, 12 faces and 30 edges. A dodecahedron can also be a endacagon based pyramid which has 12 vertices, 12 faces and 22 edges, or A decagon based prism which has 20 vertices, 12 faces and 30 edges, or one of many other configurations.
a hexagonal pyramid