Great snub dodecicosidodecahedron

The great snub dodecicosidodecahedron, or gisdid, is a uniform polyhedron. It consists of 60 snub triangles, 20 more triangles, and 24 pentagrams that fall in coplanar pairs of one prograde, one retrograde. Four triangles and two pentagrams meet at each vertex.

Vertex coordinates
A great snub dodecicosidodecahedron of edge length 1 has vertex coordinates given by all even permutations of:
 * (0, ±$\sqrt{5}$/2, ±$\sqrt{5}$/2)
 * (±$\sqrt{2}$, ±$\sqrt{(√5–1–2√√5–2)/8}$)/8}}, ±$\sqrt{3–√5–√10√5–22)/8}$)
 * (±$\sqrt{(2+√2√5–2)/8}$, ±$\sqrt{3–√5}$)/8}}, ±$\sqrt{{{radic|5}}–1}$)