First noble pterogrammic hexecontahedron
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First noble pterogrammic hexecontahedron | |
---|---|
Rank | 3 |
Type | Noble |
Elements | |
Faces | 60 mirror-symmetric hexagons |
Edges | 60+120 |
Vertices | 60 |
Vertex figure | Mirror-symmetric hexagon |
Measures (edge lengths , ) | |
Edge length ratio | |
Circumradius | |
Related polytopes | |
Army | Semi-uniform Ti, edge lengths (pentagons), (between ditrigons) |
Dual | Fourth noble unihexagrammic hexecontahedron |
Abstract & topological properties | |
Flag count | 720 |
Euler characteristic | –60 |
Orientable | No |
Genus | 62 |
Properties | |
Symmetry | H3, order 120 |
Convex | No |
Nature | Tame |
The first noble pterogrammic hexecontahedron is a noble polyhedron. Its 60 congruent faces are mirror-symmetric hexagons meeting at congruent order-6 vertices. It is a faceting of a semi-uniform truncated icosahedron hull.
The ratio between the shortest and longest edges is 1: ≈ 1:2.63595.
Vertex coordinates[edit | edit source]
The vertex coordinates of a first noble pterogrammic hexecontahedron are given by all even permutations of:
Related polyhedra[edit | edit source]
It shares its vertex coordinates with the fifth noble unihexagrammic hexecontahedron.