![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/c/c6/Snub_dodecadodecahedron.png/640px-Snub_dodecadodecahedron.png&w=640&q=50)
Snub dodecadodecahedron
Uniform star polyhedron with 84 faces / From Wikipedia, the free encyclopedia
In geometry, the snub dodecadodecahedron is a nonconvex uniform polyhedron, indexed as U40. It has 84 faces (60 triangles, 12 pentagons, and 12 pentagrams), 150 edges, and 60 vertices.[1] It is given a Schläfli symbol sr{5⁄2,5}, as a snub great dodecahedron.
Snub dodecadodecahedron | |
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Type | Uniform star polyhedron |
Elements | F = 84, E = 150 V = 60 (χ = −6) |
Faces by sides | 60{3}+12{5}+12{5/2} |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Wythoff symbol | | 2 5/2 5 |
Symmetry group | I, [5,3]+, 532 |
Index references | U40, C49, W111 |
Dual polyhedron | Medial pentagonal hexecontahedron |
Vertex figure | ![]() 3.3.5/2.3.5 |
Bowers acronym | Siddid |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/3/37/Snub_dodecadodecahedron.stl/640px-Snub_dodecadodecahedron.stl.png)