# Great dishexacosidishecatonicosachoron

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Great dishexacosidishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Gadixady |

Coxeter diagram | x3x3/2o3o5*a () |

Elements | |

Cells | 600 tetrahedra, 120 dodecahedra, 600 truncated tetrahedra, 120 truncated icosahedra |

Faces | 2400 triangles, 1440 pentagons, 2400 hexagons |

Edges | 3600+3600 |

Vertices | 2400 |

Vertex figure | Triangular retroantipodium, edge lengths 1 (small base), (1+√5)/2 (large base), and √3 (sides) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Doe–5–ti: 72° |

Tet–3–tut: | |

Ti–6–tut: | |

Number of external pieces | 909840 |

Level of complexity | 1984 |

Related polytopes | |

Army | Thi, edge length |

Regiment | Gidthixhi |

Conjugate | Small dishexacosidishecatonicosachoron |

Abstract & topological properties | |

Flag count | 115200 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **great dishexacosidishecatonicosachoron**, or **gadixady**, is a nonconvex uniform polychoron that consists of 600 regular tetrahedra, 120 regular dodecahedra, 600 truncated tetrahedra, and 120 truncated icosahedra. 1 tetrahedron, 1 dodecahedron, 3 truncated tetrahedra, and 3 truncated icosahedra join at each vertex.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the great ditrigonal hecatonicosihexacosihecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 12: Podiumverts" (#492).

- Klitzing, Richard. "gadixady".