Small dodecahemidodecahedron
In today's world, Small dodecahemidodecahedron has gained unprecedented relevance. Whether in the workplace, academic, cultural or social sphere, Small dodecahemidodecahedron has become a topic of general interest that arouses curiosity and the need for understanding. This phenomenon has generated endless debates, research and reflections around its impact and relevance in contemporary society. In this article, we will explore in depth the different aspects related to Small dodecahemidodecahedron, from its historical origins to its implications in people's daily lives. Through a detailed analysis, we seek to shed light on this topic and offer new perspectives that allow us to understand its importance in today's world.
| 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, , *532 |
| Index references | U51, C65, W91 |
| 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.
It is a hemipolyhedron with six decagonal faces passing through the model center.
Related polyhedra
It shares its edge arrangement with the icosidodecahedron (its convex hull, having the pentagonal faces in common), and with the small icosihemidodecahedron (having the decagonal faces in common).
 Icosidodecahedron |
 Small icosihemidodecahedron |
Small dodecahemidodecahedron |
References
- ^ Maeder, Roman. "51: small dodecahemidodecahedron". MathConsult.
External links
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