Final stellation of the rhombic triacontahedron
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| Final stellation of the rhombic triacontahedron | |
|---|---|
 | |
| Rank | 3 |
| Type | Noble |
| Space | Spherical |
| Elements | |
| Faces | 30 irregular dodecagrams |
| Edges | 60+60+60 |
| Vertices | 120 |
| Vertex figure | Scalene triangle, edge lengths ~1.83181532266 ~2.139581850425 ~1.61249720186 |
| Number of external pieces | 240 |
| Level of complexity | 20 |
| Related polytopes | |
| Army | Grid |
| Dual | Fourth noble faceting of icosidodecahedron |
| Convex core | Rhombic triacontahedron |
| Abstract & topological properties | |
| Flag count | 720 |
| Euler characteristic | –30 |
| Orientable | Yes |
| Genus | 16 |
| Properties | |
| Symmetry | H3, order 120 |
| Convex | No |
| Nature | Tame |
The final stellation of the rhombic triacontahedron is a noble polyhedron that is a faceting of the uniform great rhombicosidodecahedron. It has 30 rectangular-symmetric dodecagrammic faces.
