# Second noble piscoidal hexecontahedron

Jump to navigation
Jump to search

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 | H_{3}, 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