Noble octagonal triacontahedron
|Noble octagonal triacontahedron|
|Faces||30 rectangular-symmetric octagons|
|Measures (edge lengths , )|
|Edge length ratio|
|Army||Semi-uniform Ti, edge lengths (pentagons) and 1 (between ditrigons)|
|Dual||First noble faceting of icosidodecahedron|
|Convex core||Rhombic triacontahedron|
|Abstract & topological properties|
|Symmetry||H3, order 120|
|Discovered by||Max Brückner|
The noble octagonal triacontahedron is a noble polyhedron. Its 30 congruent faces are rectangular-symmetric octagons meeting at congruent order-4 vertices. It is a faceting of a semi-uniform truncated icosahedron hull.
The ratio between the shortest and longest edges is 1: ≈ 1:3.07768.
Vertex coordinates[edit | edit source]
A noble octagonal triacontahedron, centered at the origin, has vertex coordinates given by all permutations of:
plus all even permutations of:
These are the same coordinates as the truncated great dodecahedron.