# Truncated grand hexacosichoron

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Truncated grand hexacosichoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Taggix |

Coxeter diagram | o5/2o3x3x () |

Elements | |

Cells | 600 truncated tetrahedra, 120 great icosahedra |

Faces | 2400 triangles, 1200 hexagons |

Edges | 720+3600 |

Vertices | 1440 |

Vertex figure | Pentagrammic pyramid, edge lengths 1 (base) and √3 (sides) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Gike–3–tut: |

Tut–6–tut: | |

Central density | 191 |

Number of external pieces | 80760 |

Level of complexity | 269 |

Related polytopes | |

Army | Semi-uniform Tex |

Regiment | Tigfix |

Conjugate | Truncated hexacosichoron |

Convex core | Hexacosichoron |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **truncated grand hexacosichoron**, or **taggix**, is a nonconvex uniform polychoron that consists of 120 great icosahedra and 600 truncated tetrahedra. 1 great icosahedron and five truncated tetrahedra join at each vertex. As the name suggests, it can be obtained by truncating the grand hexacosichoron.

## Cross-sections[edit | edit source]

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the truncated great faceted hexacosichoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 2: Truncates" (#29).

- Klitzing, Richard. "taggix".