![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/c/cc/Small_rhombidodecahedron.png/640px-Small_rhombidodecahedron.png&w=640&q=50)
Small rhombidodecahedron
Polyhedron with 42 faces / From Wikipedia, the free encyclopedia
In geometry, the small rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U39. It has 42 faces (30 squares and 12 decagons), 120 edges, and 60 vertices.[1] Its vertex figure is a crossed quadrilateral.
Small rhombidodecahedron | |
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Type | Uniform star polyhedron |
Elements | F = 42, E = 120 V = 60 (Ļ = ā18) |
Faces by sides | 30{4}+12{10} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Wythoff symbol | 2 5 (3/2 5/2) | |
Symmetry group | Ih, [5,3], *532 |
Index references | U39, C46, W74 |
Dual polyhedron | Small rhombidodecacron |
Vertex figure | ![]() 4.10.4/3.10/9 |
Bowers acronym | Sird |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/a/a2/Small_rhombidodecahedron.stl/640px-Small_rhombidodecahedron.stl.png)