# Ditrigonary trishecatonicosachoron

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Ditrigonary trishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Dittathi |

Elements | |

Cells | 120 gid, 120 id, 120 raded |

Faces | 2400 triangles, 1800 squares, 1440 pentagons, 1440 pentagrams |

Edges | 7200 |

Vertices | 1200 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Rahi |

Regiment | Rissidtixhi |

Conjugate | Ditrigonary trishecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | 720 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **ditrigonary trishecatonicosachoron**, or **dittathi**, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 120 icosidodecahedra, and 120 rhombidodecadodecahedra. Three great icosidodecahedra, three icosidodecahedra, and six rhombidodecadodecahedra join at each vertex.

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1154).

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