# Rectified great hecatonicosachoric alterprism

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Rectified great hecatonicosachoric alterprism | |
---|---|

Rank | 5 |

Type | Scaliform |

Notation | |

Bowers style acronym | Righia |

Coxeter diagram | oo5xo5/2ox5oo&#x |

Elements | |

Tera | 2 rectified great hecatonicosachora, 240 small stellated dodecahedron atop dodecadodecahedron |

Cells | 240 small stellated dodecahedra, 240 dodecadodecahedra, 1440 pentagrammic antiprisms, 1440 pentagonal pyramids |

Faces | 1440 pentagons, 2880 pentagrams, 7200 triangles |

Edges | 3600+7200 |

Vertices | 1440 |

Vertex figure | Pentagonal fastegium |

Measures (edge length 1) | |

Circumradius | |

Height | |

Related polytopes | |

Army | Semi-uniform roxip |

Regiment | Righia |

Properties | |

Symmetry | H4×A1, order 28800 |

Convex | No |

Nature | Tame |

The **rectified great hecatonicosachoric alterprism** is a scaliform segmentoteron. It consists of two rectified great hecatonicosachora as bases, joined by 240 small stellated dodecahedron atop dodecadodecahedron segmentochora.

## Related polychora[edit | edit source]

This polychoron is isomorphic, but not conjugate, to the rectified grand stellated hecatonicosachoric alterprism.

## External links[edit | edit source]

- Klitzing, Richard. "righia".