Rhombicosidodecahedron
In geometry, the rhombicosidodecahedron is an Archimedean solid, one of thirteen convex isogonal nonprismatic solids constructed of two or more types of regular polygon faces.
| Rhombicosidodecahedron | |
|---|---|
(Click here for rotating model) | |
| Type | Archimedean solid Uniform polyhedron |
| Elements | F = 62, E = 120, V = 60 (χ = 2) |
| Faces by sides | 20{3}+30{4}+12{5} |
| Conway notation | eD or aaD |
| Schläfli symbols | rr{5,3} or |
| t0,2{5,3} | |
| Wythoff symbol | 3 5 | 2 |
| Coxeter diagram | |
| Symmetry group | Ih, H3, [5,3], (*532), order 120 |
| Rotation group | I, [5,3]+, (532), order 60 |
| Dihedral angle | 3-4: 159°05′41″ (159.09°) 4-5: 148°16′57″ (148.28°) |
| References | U27, C30, W14 |
| Properties | Semiregular convex |
Colored faces |
3.4.5.4 (Vertex figure) |
Deltoidal hexecontahedron (dual polyhedron) |
Net |
It has 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, 60 vertices, and 120 edges.
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