Hemi-dodecahedron
A hemi-dodecahedron is an abstract regular polyhedron, containing half the faces of a regular dodecahedron. It can be realized as a projective polyhedron, which can be visualized by constructing the projective plane as a where opposite points along the boundary are connected and dividing the hemisphere into three equal parts.
It has 6 pentagonal faces, 15 edges, and 10 vertices.Projections
It can be projected symmetrically inside of a 10-sided or 12-sided perimeter:From the point of view of graph theory this is an embedding of the Petersen graph on a real projective plane.
With this embedding, the dual graph is
K6 --- see hemi-icosahedron.
