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Title: Hemi-cuboctahedron  
Author: World Heritage Encyclopedia
Language: English
Subject: Tetrahemihexahedron, WikiProject Mathematics/List of mathematics articles (H)
Publisher: World Heritage Encyclopedia


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 (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.


  • Dual 1
  • Related polyhedra 2
  • See also 3
  • References 4
  • External links 5


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


External links

  • The hemicubeoctahedron

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