Definitions
Cube_(geometry)

Hemi-cube (geometry)

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.

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