Compound of five cubes

Compound of five cubes
(Animation, 3D model)
Type	Regular compound
Coxeter symbol	2{5,3}[5{4,3}][1]
Stellation core	rhombic triacontahedron
Convex hull	Dodecahedron
Index	UC9
Polyhedra	5 cubes
Faces	30 squares (visible as 360 triangles)
Edges	60
Vertices	20
Dual	Compound of five octahedra
Symmetry group	icosahedral (Ih)
Subgroup restricting to one constituent	pyritohedral (Th)

The compound of five cubes is one of the five regular polyhedral compounds. It was first described by Edmund Hess in 1876.

It is one of five regular compounds, and dual to the compound of five octahedra. It can be seen as a faceting of a regular dodecahedron.

It is one of the stellations of the rhombic triacontahedron. It has icosahedral symmetry (I_h).