# Ditrigonary hexacositrishecatonicosachoron

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Ditrigonary hexacositrishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Ditxithi |

Elements | |

Cells | 120 ditdid, 120 ided, 120 quitdid, 600 cho |

Faces | 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagons, 720 decagrams |

Edges | 7200 |

Vertices | 1200 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Rahi |

Regiment | Rissidtixhi |

Conjugate | Ditrigonary hexacositrishecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | 3360 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **ditrigonary hexacositrishecatonicosachoron**, or **ditxithi**, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 icosidodecadodecahedra, 120 quasitruncated dodecadodecahedra, and 600 cubohemioctahedra. Two ditrigonary dodecadodecahedra, six icosidodecadodecahedra, twelve quasitruncated dodecadodecahedra, and six cubohemioctahedra 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" (#1257).

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