Small snub icosicosidodecahedron
In geometry, the small snub icosicosidodecahedron or snub disicosidodecahedron is a uniform star polyhedron, indexed as U32. It has 112 faces (100 triangles and 12 pentagrams), 180 edges, and 60 vertices. Its stellation core is a truncated pentakis dodecahedron. It also called a holosnub icosahedron, ß{3,5}.
The 40 non-sub triangular faces form 20 coplanar pairs, forming star hexagons that are not quite regular. Unlike most snub polyhedra, it has reflection symmetries.
Its convex hull is a nonuniform truncated icosahedron.
Cartesian coordinates for the vertices of a small snub icosicosidodecahedron are all the even permutations of
where ϕ = (1+√5)/2 is the golden ratio and α = √(3ϕ−2).
...
Wikipedia