# Rhombicosidodecahedron

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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.

Table info: Rhombicosidodecahedron...
Rhombicosidodecahedron

TypeArchimedean solid
Uniform polyhedron
ElementsF = 62, E = 120, V = 60 (χ = 2)
Faces by sides20{3}+30{4}+12{5}
Schläfli symbolsrr{5,3} or ${\displaystyle r{\begin{Bmatrix}5\\3\end{Bmatrix}}}$
t0,2{5,3}
Wythoff symbol3 5 | 2
Coxeter diagram
Symmetry groupIh, H3, [5,3], (*532), order 120
Rotation groupI, [5,3]+, (532), order 60
Dihedral angle3-4: 159°05′41″ (159.09°)
4-5: 148°16′57″ (148.28°)
ReferencesU27, C30, W14
PropertiesSemiregular convex

Colored faces

3.4.5.4
(Vertex figure)

Deltoidal hexecontahedron
(dual polyhedron)

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