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 ${\displaystyle r{\begin{Bmatrix}5\\3\end{Bmatrix}}}$
	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.