Small dodecahemidodecahedron
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 (χ = −12) |
| Faces by sides | 12{5}+6{10} |
| Wythoff symbol | 5/4 5 | 5 |
| 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 |
3D model of a small dodecahemidodecahedron
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 |
gollark: Also, you're doing fake loading bars in startup, which is basically evil.
gollark: Onto what seems to break it, it looks like the paste you download as `/os/google/google` or whatever is no longer available, and your downloader program does not actually detect this.
gollark: I'm still looking at the other files, since there are a lot.
gollark: <@514040045120913410> That is... kind of bad, some offense.Firstly, the indents. Secondly, using `shell.run` to download files and whatnot is kind of inelegant and probably slow. Thirdly, I don't think it's an "OS" particularly.
gollark: Not without a modified client which is against the ToS.
References
- Maeder, Roman. "51: small dodecahemidodecahedron". MathConsult.
External links
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