# Great ditrigonary dishecatonicosachoron

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Great ditrigonary dishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Gidditdy |

Coxeter diagram | (o3/2x5o3x5/4*a3*c *b5/3*d)/2 |

Elements | |

Cells | 120 great ditrigonary icosidodecahedra, 120 great ditrigonal dodecicosidodecahedra |

Faces | 2400 triangles, 1440 pentagons, 720 decagrams |

Edges | 7200 |

Vertices | 1200 |

Vertex figure | Tripod trapezoprism, edge lengths 1 and (1+√5)/2 (base) and √(5–√5)/2 (sides) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Gidtid–5–gidditdid: 144° |

Gidtid–3–gidditdid: 120° | |

Gidditdid–10/3–gidditdid: 108° | |

Related polytopes | |

Army | Rahi, edge length |

Regiment | Rissidtixhi |

Conjugate | Small ditrigonary dishecatonicosachoron |

Abstract & topological properties | |

Flag count | 86400 |

Euler characteristic | –1680 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **great ditrigonary dishecatonicosachoron**, or **gidditdy**, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra and 120 great ditrigonal dodecicosidodecahedra. 2 great ditrigonary icosidodecahedra and 6 great ditrigonal dodecicosidodecahedra 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.

## 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" (#1152).

- Klitzing, Richard. "gidditdy".