![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/b/b9/Rhombidodecadodecahedron.png/640px-Rhombidodecadodecahedron.png&w=640&q=50)
Rhombidodecadodecahedron
Polyhedron with 54 faces / From Wikipedia, the free encyclopedia
In geometry, the rhombidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U38. It has 54 faces (30 squares, 12 pentagons and 12 pentagrams), 120 edges and 60 vertices.[1] It is given a Schläfli symbol t0,2{5⁄2,5}, and by the Wythoff construction this polyhedron can also be named a cantellated great dodecahedron.
Rhombidodecadodecahedron | |
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Type | Uniform star polyhedron |
Elements | F = 54, E = 120 V = 60 (χ = −6) |
Faces by sides | 30{4}+12{5}+12{5/2} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Wythoff symbol | 5/2 5 | 2 |
Symmetry group | Ih, [5,3], *532 |
Index references | U38, C48, W76 |
Dual polyhedron | Medial deltoidal hexecontahedron |
Vertex figure | ![]() 4.5/2.4.5 |
Bowers acronym | Raded |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/c/c4/Rhombidodecadodecahedron.stl/640px-Rhombidodecadodecahedron.stl.png)