Fifth noble stellation of rhombic triacontahedron
|Fifth noble stellation of rhombic triacontahedron|
|Faces||30 rectangular-symmetric dodecagrams|
|Vertex figure||Scalene triangle|
|Measures (edge lengths , , )|
|Edge length ratio|
|Number of external pieces||300|
|Level of complexity||18|
|Army||Semi-uniform Grid, edge lengths (dipentagon-rectangle), (dipentagon-ditrigon), (ditrigon-rectangle)|
|Dual||Fifth noble faceting of icosidodecahedron|
|Convex core||Rhombic triacontahedron|
|Abstract & topological properties|
|Symmetry||H3, order 120|
|Discovered by||Edmond Hess|
The fifth noble stellation of rhombic triacontahedron is a noble polyhedron. Its 30 congruent faces are rectangular-symmetric dodecagrams meeting at congruent order-3 vertices. It is a faceting of a semi-uniform great rhombicosidodecahedron hull.
The ratio between the shortest and longest edges is 1: ≈ 1:3.97327.
Vertex coordinates[edit | edit source]
A fifth noble stellation of rhombic triacontahedron, centered at the origin, has vertex coordinates given by all permutations of
along with all even permutations of:
These are the same coordinates as the great quasitruncated icosidodecahedron.