| Small dodecahemidodecahedron | |
|---|---|
 | |
| Type | Uniform star polyhedron |
| Elements | F = 18, E = 60 V = 30 (χ = −12) |
| 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 | U 51, C 65, W 91 |
| Dual polyhedron | Small dodecahemidodecacron |
| Vertex figure |  5.10.5/4.10 |
| Bowers acronym | Sidhid |
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.
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It is a hemipolyhedron with six decagonal faces passing through the model center.
