# Ditrigonary tetrishecatonicosachoron

The **ditrigonary tetrishecatonicosachoron**, or **dutithi**, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 120 icosidodecahedra, 120 great icosicosidodecahedra, and 120 small icosicosidodecahedra. Three great icosidodecahedra, three icosidodecahedra, six great icosicosidodecahedra, and six small icosicosidodecahedra join at each vertex.

Ditrigonary tetrishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Dutithi |

Elements | |

Cells | 120 gid, 120 id, 120 giid, 120 siid |

Faces | 4800 triangles, 1440 pentagons, 1440 pentagrams, 2400 hexagons |

Edges | 7200 |

Vertices | 1200 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Rahi |

Regiment | Rissidtixhi |

Conjugate | Ditrigonary tetrishecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | 3600 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Feral |

## Vertex coordinatesEdit

Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.

## External linksEdit

- Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1167).

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