- Compound of five cubes
Compound of five cubes Type Regular compound Stellation core rhombic triacontahedron Convex hull Dodecahedron Index UC9 Polyhedra 5 cubes Faces 30 squares Edges 60 Vertices 20 Dual Compound of five octahedra Symmetry group icosahedral (Ih) Subgroup restricting to one constituent pyritohedral (Th)
Its convex hull is a regular dodecahedron. It additionally shares its edge arrangement with the small ditrigonal icosidodecahedron, the great ditrigonal icosidodecahedron, and the ditrigonal dodecadodecahedron.
Small ditrigonal icosidodecahedron
Great ditrigonal icosidodecahedron
Dodecahedron (convex hull)
Compound of five cubes
As a stellation
This compound can be formed as a stellation of the rhombic triacontahedron. The 30 rhombic faces exist in the planes of the 5 cubes.
The stellation facets for construction are:
As a facetting
- MathWorld: Cube 5-Compound
- George Hart: Compounds of Cubes
- Steven Dutch: Uniform Polyhedra and Their Duals
- VRML model: 
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