Compound_of_five_cubes
Compound of five cubes
Polyhedral compound
The compound of five cubes is one of the five regular polyhedral compounds. It was first described by Edmund Hess in 1876.
Compound of five cubes | |
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(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) |
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 (Ih).