| Rhombicosahedron | |
|---|---|
| Type | Uniform star polyhedron |
| Elements | F = 50, E = 120 V = 60 (χ = −10) |
| Faces by sides | 30{4}+20{6} |
| Wythoff symbol | 2 3 (5/4 5/2) | |
| Symmetry group | Ih, [5,3], *532 |
| Index references | U56, C72, W96 |
| Bowers acronym | Ri |
4.6.4/3.6/5 (Vertex figure) |
Rhombicosacron (dual polyhedron) |
In geometry, the rhombicosahedron is a nonconvex uniform polyhedron, indexed as U56. Its vertex figure is an antiparallelogram.
A rhombicosahedron shares its vertex arrangement with the uniform compounds of 10 or 20 triangular prisms. It additionally shares its edges with the rhombidodecadodecahedron (having the square faces in common) and the icosidodecadodecahedron (having the hexagonal faces in common).
convex hull |
Rhombidodecadodecahedron |
Icosidodecadodecahedron |
Rhombicosahedron |
Compound of ten triangular prisms |
Compound of twenty triangular prisms |
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