Rhombicosahedron

Rhombicosahedron
Type	Uniform star polyhedron
Elements	F = 50, E = 120 V = 60 (χ = −10)
Faces by sides	30{4}+20{6}
Wythoff symbol	2 3 (5/4 5/2) |
Symmetry group	Ih, [5,3], *532
Index references	U56, C72, W96
4.6.4/3.6/5 (Vertex figure)	Rhombicosacron (dual polyhedron)

In geometry, the rhombicosahedron is a nonconvex uniform polyhedron, indexed as U₅₆. Its vertex figure is an antiparallelogram.

Related polyhedra

A rhombicosahedron shares its vertex arrangement with the uniform compounds of 10 or 20 triangular prisms. It additionally shares its edges with the rhombidodecadodecahedron (having the square faces in common) and the icosidodecadodecahedron (having the hexagonal faces in common).

convex hull	Rhombidodecadodecahedron	Icosidodecadodecahedron
Rhombicosahedron	Compound of ten triangular prisms	Compound of twenty triangular prisms

External links

• Weisstein, Eric W., "Rhombicosahedron" from MathWorld.

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