# Great hecatonicosihexacosintercepted dishecatonicosachoron

Great hecatonicosihexacosintercepted dishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Ghixanady |

Elements | |

Cells | 600 truncated octahedra, 120 dodecadodecahedra, 120 truncated great icosahedra, 120 rhombidodecadodecahedra |

Faces | 3600 squares, 1440 pentagons, 720+1440 pentagrams, 1200+2400 hexagons |

Edges | 3600+7200 |

Vertices | 3600 |

Vertex figure | Inverted wedge, edge lengths √2 (4), (1+√5)/2 (2), (√5–1)/2 (3), and √3 (6) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Raded–5–did: 108° |

Did–5/2–tiggy: 108° | |

Tiggy–6–toe: | |

Raded–5/2–raded: 72° | |

Raded–4–toe: 45° | |

Toe–6–toe: | |

Related polytopes | |

Army | Srahi |

Regiment | Sirgashi |

Conjugate | Small hecatonicosihexacosintercepted dishecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | 2640 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **great hecatonicosihexacosintercepted dishecatonicosachoron**, or **ghixanady**, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 120 rhombidodecadodecahedra, 120 truncated great icosahedra, and 600 truncated octahedra. One dodecadodecahedron, two rhombidodecadodecahedra, two truncated great icosahedra, and four truncated octahedra join at each vertex.

## Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the small rhombated grand stellated hecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 6: Sphenoverts" (#212).