![cover image](https://wikiwandv2-19431.kxcdn.com/_next/image?url=https://upload.wikimedia.org/wikipedia/commons/thumb/c/c6/Small_dodecahemicosahedron.png/640px-Small_dodecahemicosahedron.png&w=640&q=50)
Small dodecahemicosahedron
Polyhedron with 22 faces / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Small dodecahemicosahedron?
Summarize this article for a 10 year old
SHOW ALL QUESTIONS
In geometry, the small dodecahemicosahedron (or great dodecahemiicosahedron) is a nonconvex uniform polyhedron, indexed as U62. It has 22 faces (12 pentagrams and 10 hexagons), 60 edges, and 30 vertices.[1] Its vertex figure is a crossed quadrilateral.
Small dodecahemicosahedron | |
---|---|
![]() | |
Type | Uniform star polyhedron |
Elements | F = 22, E = 60 V = 30 (Ļ = ā8) |
Faces by sides | 12{5/2}+10{6} |
Coxeter diagram | ![]() ![]() ![]() ![]() |
Wythoff symbol | 5/3 5/2 | 3 (double covering) |
Symmetry group | Ih, [5,3], *532 |
Index references | U62, C78, W100 |
Dual polyhedron | Small dodecahemicosacron |
Vertex figure | ![]() 6.5/2.6.5/3 |
Bowers acronym | Sidhei |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/4/4e/Small_dodecahemicosahedron.stl/640px-Small_dodecahemicosahedron.stl.png)
It is a hemipolyhedron with ten hexagonal faces passing through the model center.