# Great hexacosintercepted prismatodishecatonicosachoron

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Great hexacosintercepted prismatodishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Gixnapady |

Elements | |

Cells | 720 pentagrammic prisms, 600 truncated octahedra, 120 dodecadodecahedra, 120 icosidodecadodecahedra, |

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

Edges | 3600+7200 |

Vertices | 3600 |

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

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Ided–6–toe: |

Did–5/2–stip: 126° | |

Ided–5–did: 108° | |

Ided–5/2–ided: 72° | |

Toe–4–stip: | |

Toe–6–toe: | |

Related polytopes | |

Army | Srahi |

Regiment | Sirgashi |

Conjugate | Small hexacosintercepted prismatodishecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | 2640 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **great hexacosintercepted prismatodishecatonicosachoron**, or **gixnapady**, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 120 icosidodecadodecahedra, 720 pentagrammic prisms, and 600 truncated octahedra. One dodecadodecahedron, two icosidodecadodecahedra, two pentagrammic prisms, 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" (#213).