Great dodecahemicosahedron

The great dodecahemicosahedron, or gidhei, is a quasiregular polyhedron and one of 10 uniform hemipolyhedra. It consists of 12 pentagons and 10 central hexagons, with two of each joining at a vertex.

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