Icosidodecadodecahedron

The icosidodecadodecahedron, or ided, is a uniform polyhedron. It consists of 12 pentagons, 12 pentagrams, and 20 hexagons. One pentagon, one pentagram, and two hexagons join at each vertex.

It is a faceting of the rhombidodecadodecahedron, using its 12 pentagrams and 12 pentagons along with 20 additional hexagons.

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