Compound of two small icosicosidodecahedra

The compound of two small icosicosidodecahedra is a polyhedron compound. It consists of 40 triangles (16 of which fall into pairs in the same planes, forming 8 golden hexagrams), 24 pentagrams, and 40 hexagonss (16 of which form 8 compound of two hexagons). One triangle, two hexagons, and one pentagram (sometimes a hexagram replaces the triangle, or one or more compounds of two hexagons replaces a hexagon) join at each vertex.

Related polytopes
The compound of two small icosicosidodecahedra is one of the facets of some uniform polychora of the sadros daskydox regiment.

Its non-standard hexagram faces are not to be confused with the hexagram faces of the small snub icosicosidodecahedron.