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A hemi-cuboctahedron is an abstract polyhedron, containing half the faces of a semiregular cuboctahedron.

It has 4 triangular faces and 3 square faces, 12 edges, and 6 vertices. It can be seen as a rectified hemi-octahedron or rectified hemi-cube.

It can be realized as a projective polyhedron , which can be visualized by constructing the projective plane as a hemisphere where opposite points along the boundary are connected.

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