Final stellation of the rhombic triacontahedron
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Final stellation of the rhombic triacontahedron | |
---|---|
Rank | 3 |
Type | Noble |
Elements | |
Faces | 30 rectangular-symmetric 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 | First noble triangular hecatonicosahedron |
Conjugate | Fifth noble stellation of rhombic triacontahedron |
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 |
History | |
Discovered by | Edmond Hess |
First discovered | 1876 |
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.
The ratio between the longest and shortest edges is 1: ≈ 1:1.08576.