Second noble piscoidal hexecontahedron
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| Second noble piscoidal hexecontahedron | |
|---|---|
 | |
| Rank | 3 |
| Type | Noble |
| Elements | |
| Faces | 60 mirror-symmetric pentagons |
| Edges | 30+60+60 |
| Vertices | 60 |
| Vertex figure | Mirror-symmetric hexagon |
| Measures (edge lengths ≈0.50462, ≈0.95137, 1) | |
| Edge length ratio | ≈1.98168 |
| Circumradius | ≈0.50404 |
| Related polytopes | |
| Army | Semi-uniform Ti, edge lengths (pentagons), (between ditrigons) |
| Dual | Second noble sombreroidal hexecontahedron |
| Convex core | Triakis icosahedron |
| Abstract & topological properties | |
| Flag count | 600 |
| Euler characteristic | –30 |
| Orientable | Yes |
| Genus | 16 |
| Properties | |
| Symmetry | H3, order 120 |
| Flag orbits | 5 |
| Convex | No |
| Nature | Tame |
The second noble piscoidal hexecontahedron is a noble polyhedron. Its 60 congruent faces are mirror-symmetric pentagons that meet at congruent order-5 vertices. It is a faceting of a semi-uniform truncated icosahedral convex hull.
The ratio between the shortest and longest edges is approximately 1:1.98168.
External links[edit | edit source]
- Hartley, Michael. "{5,5}*600".
- Wedd, N. R16.6