# Rectified great ditrigonary hexacosihecatonicosachoron

The **rectified great ditrigonary hexacosihecatonicosachoron**, or **riggidtixhi**, is a nonconvex uniform polychoron that consists of 600 regular octahedra, 120 great ditrigonary icosidodecahedra, and 120 icosidodecahedra. 2 great ditrigonary icosidodecahedra, 3 icosidodecahedra, and 3 octahedra join at each tripod prismatic vertex. As the name suggests, it can be obtained by rectifying the great ditrigonary hexacosihecatonicosachoron.

Rectified great ditrigonary hexacosihecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Riggidtixhi |

Coxeter diagram | o3x3o3/2o5*b () |

Elements | |

Cells | 600 octahedra, 120 great ditrigonary icosidodecahedra, 120 icosidodecahedra |

Faces | 2400+2400 triangles, 1440 pentagons |

Edges | 7200 |

Vertices | 1200 |

Vertex figure | Tripod prism, base edge lengths 1 and (1+√5)/2, side edge length 1 |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Gidtid–3–oct: |

Gidtid–5–id: 108° | |

Id–3–oct: | |

Central density | 39 |

Related polytopes | |

Army | Rahi, edge length |

Regiment | Rissidtixhi |

Conjugate | Rectified small ditrigonary hexacosihecatonicosachoron |

Abstract & topological properties | |

Flag count | 86400 |

Euler characteristic | –600 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

## Vertex coordinates edit

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

## Related polychora edit

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

- Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1149).

- Klitzing, Richard. "riggidtixhi".