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Hemi-cuboctahedron
From Wikipedia, the free encyclopedia
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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.
Its skeleton matches 6 vertices and 12 edges of a regular octahedron.
It can be realized as a projective polyhedron (a tessellation of the real projective plane by 4 triangles and 3 square), which can be visualized by constructing the projective plane as a hemisphere where opposite points along the boundary are connected.
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Dual
Its dual polyhedron is a rhombic hemi-dodecahedron which has 7 vertices (1-7), 12 edges (a-l), and 6 rhombic faces (A-F).
Related polyhedra
It has a real presentation as a uniform star polyhedron, the tetrahemihexahedron.
See also
References
- McMullen, Peter; Schulte, Egon (December 2002), "6C. Projective Regular Polytopes", Abstract Regular Polytopes (1st ed.), Cambridge University Press, pp. 162–165, ISBN 0-521-81496-0
External links
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