Great icosihemidodecahedron

The great icosihemidodecahedron, or geihid, is a quasiregular polyhedron and one of 10 uniform hemipolyhedra. It consists of 20 equilateral triangles and 6 "hemi" decagrams, with two of each joining at a vertex. Its triangular faces are parallel to those of an icosahedron, and its hemi decagrammic faces are parallel to those of a dodecahedron: hence the name "icosihemidodecahedron". The "great" suffix, used for stellations in general, distinguishes it from the small icosihemidodecahedron, which also has this face arrangement.

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

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