Rhombicosidodecahedron | |
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(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 |
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.
It has 20 regular triangular faces, 30 square faces, 12 regular pentagonal faces, 60 vertices, and 120 edges.