Great dodecahemidodecahedron

The great dodecahemidodecahedron, or gidhid, is a quasiregular polyhedron and one of 10 uniform hemipolyhedra. It consists of 12 pentagrams and 6 "hemi" decagrams, with two of each joining at a vertex. Its pentagrammic faces, as well as its hemi decagrammic faces, are parallel to those of a dodecahedron: hence the name "dodecahemidodecahedron". The "great" suffix, used for stellations in general, distinguishes it from the small dodecahemidodecahedron, which also has this face arrangement.

It is a faceting of the great icosidodecahedron, keeping the original's pentagrams while also using its equatorial decagrams.

It is notable as the only non-regular uniform polyhedron to use exclusively star polygons as faces.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the great icosidodecahedron.