Compound of five icosahedra | |
---|---|
![]() | |
Type | Uniform compound |
Index | UC47 |
Polyhedra | 5 icosahedra |
Faces | 40+60 Triangles |
Edges | 150 |
Vertices | 60 |
Symmetry group | icosahedral (Ih) |
Subgroup restricting to one constituent | pyritohedral (Th) |
The compound of five icosahedra is uniform polyhedron compound. It's composed of 5 icosahedra, rotated around a common axis. It has icosahedral symmetry Ih.
The triangles in this compound decompose into two orbits under action of the symmetry group: 40 of the triangles lie in coplanar pairs in icosahedral planes, while the other 60 lie in unique planes.