Rhombicosidodecahedron

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

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.