# Intercepted invertipental hexacosidishecatonicosachoron

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Intercepted invertipental hexacosidishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Nipixady |

Elements | |

Cells | |

Faces | |

Edges | 3600 |

Vertices | 720 |

Edge figure | oct.srid.srid.gad.srid.srid.oct |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Oct–3–oct: |

Srid–4–srid: 90° | |

Oct–3–srid: | |

Gad–5–srid: 36° | |

Number of external pieces | 17520 |

Level of complexity | 33 |

Related polytopes | |

Army | Rox |

Regiment | Rox |

Conjugate | Circumfacetopental hexacosidishecatonicosachoron |

Convex core | Hecatonicosachoron |

Abstract & topological properties | |

Flag count | 100800 |

Euler characteristic | 3120 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Flag orbits | 7 |

Convex | No |

Nature | Wild |

The **intercepted invertipental hexacosidishecatonicosachoron**, or **nipixady**, is a nonconvex uniform polychoron that consists of 120 great dodecahedra, 120 small rhombicosidodecahedra, and 600 octahedra. 2 great dodecahedra, 5 octahedra, and 10 small rhombicosidodecahedra join at each vertex.

It is superficially identical to the invertopental hexacosidishecatonicosachoron, differing only internally.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

The vertices are the same as those of its regiment colonel, the rectified hexacosichoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#82).

- Klitzing, Richard. "nipixady".