Great ditrigonary icosidodecahedron

The great ditrigonal icosidodecahedron or gidtid is a quasiregular uniform polyhedron. It consists of 20 equilateral triangles and 12 pentagons, with three of each joining at a vertex.

It is a faceting of the small ditrigonal icosidodecahedron, using its 20 triangles along with 12 additional pentagons.