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 decagonal 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.