# Ditrigonary hecatonicosihexacosicubidishecatonicosachoron

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Ditrigonary hecatonicosihexacosicubidishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Dithixacady |

Elements | |

Cells | 120 compound of five cubes, 120 great ditrigonal dodecicosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, 120 icosidodecadodecahedra, 600 cubohemioctahedra |

Faces | 2400 triangles, 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 hecatonicosihexacosicubidishecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | 5160 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **ditrigonary hecatonicosihexacosicubidishecatonicosachoron**, or **dithixacady**, is a nonconvex uniform polychoron that consists of 600 cubes (some of which lie in the same hyperplanes, forming 120 compound of five cubes), 120 great ditrigonal dodecicosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, 120 icosidodecadodecahedra, and 600 cubohemioctahedra. Four cubes (or two compounds), six great ditrigonal dodecicosidodecahedra, six small ditrigonal dodecicosidodecahedra, six icosidodecadodecahedra, 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" (#1245).

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