Hemi-cube (geometry)

Hemi-cube (geometry)

Infobox Polyhedron


Polyhedron_Type=abstract regular polyhedron
Face_List=3 squares
Edge_Count=6
Vertex_Count=4
Symmetry_Group=S4
Vertex_List=4.4.4
Dual=hemi-octahedron
Property_List=non-orientable
In abstract geometry, a hemi-cube is an abstract regular polyhedron, containing half the faces of a cube. It exists on a hemisphere as a projective plane where opposite points along the boundary are connected.

It has 3 square faces, 6 edges, and 4 vertices.

From the point of view of graph theory this is an embedding of K_4 (the complete graph with 4 vertices) on a projective plane.

See also

*hemi-dodecahedron
*hemi-icosahedron


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