# Truncated great ditrigonary hexacosihecatonicosachoron

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Truncated great ditrigonary hexacosihecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Tiggidtixhi |

Coxeter diagram | x3x3o3/2o5*b () |

Elements | |

Cells | 600 truncated tetrahedra, 120 great ditrigonary icosidodecahedra, 120 truncated icosahedra |

Faces | 2400 triangles, 1440 pentagons, 2400 hexagons |

Edges | 1200+7200 |

Vertices | 2400 |

Vertex figure | Tripod pyramid, base edge lengths 1 and (1+√5)/2, side edge length √3 |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Gidtid–3–tut: |

Gidtid–5–ti: 108° | |

Ti–6–tut: | |

Central density | 39 |

Number of external pieces | 57720 |

Level of complexity | 199 |

Related polytopes | |

Army | Semi-uniform Sidpixhi, edge lengths (dodecahedra), (tetrahedra) |

Regiment | Tissidtixhi |

Conjugate | Truncated small ditrigonary hexacosihecatonicosachoron |

Convex core | Hecatonicosachoron |

Abstract & topological properties | |

Flag count | 115200 |

Euler characteristic | –600 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **truncated great ditrigonary hexacosihecatonicosachoron**, or **tiggidtixhi**, is a nonconvex uniform polychoron that consists of 600 truncated tetrahedra, 120 great ditrigonary icosidodecahedra, and 120 truncated icosahedra. 1 great ditrigonary icosidodecahedron, 3 truncated icosahedra, and 3 truncated tetrahedra join at each vertex. As the name suggests, it can be obtained by truncating the great ditrigonary hexacosihecatonicosachoron.

## Cross-sections[edit | edit source]

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 2: Truncates" (#33).

- Klitzing, Richard. "tiggidtixhi".