# Noble faceting of rectified pentachoron

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Noble faceting of rectified pentachoron | |
---|---|

Rank | 4 |

Type | Noble |

Space | Spherical |

Elements | |

Cells | 10 triangular toroprisms |

Faces | 30 isosceles triangles 15 squares |

Edges | 30 3-fold 15 4-fold |

Vertices | 10 |

Vertex figure | Dual of triangular toroprism |

Measures (based on rectified pentachoron with edge length 1) | |

Edge lengths | 30× |

15× | |

Circumradius | |

Volume | |

Related polytopes | |

Army | Rap |

Dual | Self-dual |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | A_{4}, order 120 |

Convex | No |

Nature | Wild |

This self-dual noble polychoron is the vertex figure of the hexadecateron. The edges are then verfs of triangles and squares, the triangles verfs of triangular prisms, the squares verfs of octahedra, and the cells verfs of prismatointercepted pentachora.

## External links[edit | edit source]

- Klitzing, Richard. "hit-verf".