Small rhombidodecahedron

Small rhombidodecahedron
Type	Uniform star polyhedron
Elements	F = 42, E = 120 V = 60 (χ = −18)
Faces by sides	30{4}+12{10}
Wythoff symbol(s)	2 5 (3/2 5/2) |
Symmetry group	Ih, [5,3], *532
Index references	U39, C46, W74
Bowers acronym	Sird
4.10.4/3.10/9 (Vertex figure)	Small rhombidodecacron (dual polyhedron)

In geometry, the small rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U₃₉. Its vertex figure is a crossed quadrilateral.

Related polyhedra

It shares its vertex arrangement with the small stellated truncated dodecahedron and the uniform compounds of 6 or 12 pentagrammic prisms. It additionally shares its edge arrangement with the rhombicosidodecahedron (having the square faces in common), and with the small dodecicosidodecahedron (having the decagonal faces in common).

Rhombicosidodecahedron	Small dodecicosidodecahedron	Small rhombidodecahedron
Small stellated truncated dodecahedron	Compound of six pentagrammic prisms	Compound of twelve pentagrammic prisms

External links

• Weisstein, Eric W., "Small rhombidodecahedron", MathWorld.
• Uniform polyhedra and duals