# Ditrigonary hexacosidishecatonicosachoron

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Ditrigonary hexacosidishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Dittixdy |

Elements | |

Cells | 600 octahedra, 120 great icosidodecahedra, 120 small ditrigonal dodecicosidodecahedra |

Faces | 2400+2400 triangles, 1440 pentagrams, 720 decagons |

Edges | 7200 |

Vertices | 1200 |

Vertex figure | Faceted ditrigonal prism, base edge lengths 1 and (√5–1)/2, side edge length 1 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Rahi |

Regiment | Rissidtixhi |

Conjugate | Toroidal ditrigonary hexacosidishecatonicosachoron |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **ditrigonary hexacosidishecatonicosachoron**, or **dittixdy**, is a nonconvex uniform polychoron that consists of 600 regular octahedra, 120 great icosidodecahedra, and 120 small ditrigonal dodecicosidodecahedra. 3 octahedra, 120 great icosidodecahedra, and 6 small ditrigonal dodecicosidodecahedra meet each of its 1200 vertices.

## Vertex coordinates[edit | edit source]

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

## Related polychora[edit | edit source]

Index | Name | OBSA | Company | Subcategory |
---|---|---|---|---|

1147 | Rectified small ditrigonary hexacosihecatonicosachoron | Rissidtixhi | Rissidtixhi | Main nine |

1148 | Rectified ditrigonary dishecatonicosachoron | Ridtidohi | Ridtidohi | Main nine |

1149 | Rectified great ditrigonary hexacosihecatonicosachoron | Riggidtixhi | Riggidtixhi | Main nine |

1150 | Small ditrigonary dishecatonicosachoron | Sidditdy | Sidditdy | Main nine |

1151 | Retroditrigonary dishecatonicosachoron | Ridditdy | Ridditdy | Main nine |

1152 | Great ditrigonary dishecatonicosachoron | Gidditdy | Gidditdy | Main nine |

1153 | Ditrigonary hexacosidishecatonicosachoron | Dittixdy | Main nine | |

1154 | Ditrigonary trishecatonicosachoron | Dittathi | Main nine | |

1155 | Toroidal ditrigonary hexacosidishecatonicosachoron | Todtixady | Main nine | |

1156 | Small ditrigonary dishecatonicosihecatonicosachoron | Sidtid hihy | Sixteen trapezics | |

1157 | Ditrigonary hecatonicosidishecatonicosachoron | Dithidy | Sixteen trapezics |

## External links[edit | edit source]

- Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1153).