Great dodecahemicosahedron

The great dodecahemicosahedron, or gidhei, is a quasiregular polyhedron and one of 10 uniform hemipolyhedra. It consists of 12 pentagons and 10 "hemi" hexagons, passing through its center, with two of each joining at a vertex. Its pentagonal faces are parallel to those of a dodecahedron, and its hemi hexagonal faces are parallel to those of an icosahedron: hence the name "dodecahemicosahedron". The "great" suffix, used for stellations in general, distinguishes it from the small dodecahemicosahedron, which also has this face arrangement.

It is a faceting of the dodecadodecahedron, keeping the original's pentagons while also using its equatorial hexagons.