Small dodecahemidodecahedron

The small dodecahemidodecahedron, or sidhid, is a quasiregular polyhedron and one of 10 uniform hemipolyhedra. It consists of 12 pentagons and 6 central decagons, with two of each joining at a vertex.

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