Small dodecahemidodecahedron
Uniform star polyhedron with 18 faces / From Wikipedia, the free encyclopedia
In geometry, the small dodecahemidodecahedron is a nonconvex uniform polyhedron, indexed as U51. It has 18 faces (12 pentagons and 6 decagons), 60 edges, and 30 vertices.[1] Its vertex figure alternates two regular pentagons and decagons as a crossed quadrilateral.
Small dodecahemidodecahedron | |
---|---|
Type | Uniform star polyhedron |
Elements | F = 18, E = 60 V = 30 (Ļ = ā12) |
Faces by sides | 12{5}+6{10} |
Coxeter diagram | (double covering) |
Wythoff symbol | 5/4 5 | 5 (double covering) |
Symmetry group | Ih, [5,3], *532 |
Index references | U51, C65, W91 |
Dual polyhedron | Small dodecahemidodecacron |
Vertex figure | 5.10.5/4.10 |
Bowers acronym | Sidhid |
It is a hemipolyhedron with six decagonal faces passing through the model center.