# Circumfacetopental hexacosidishecatonicosachoron

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Circumfacetopental hexacosidishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Mif pixady |

Elements | |

Cells | 120 sissid, 600 oct, 120 qrid |

Faces | 3600 triangles, 1800 squares, 1440 pentagrams |

Edges | 3600 |

Vertices | 720 |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 116640 |

Level of complexity | 330 |

Related polytopes | |

Army | Rox |

Regiment | Rigfix |

Conjugate | Nipixady |

Convex core | Hecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | 3120 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **circumfacetopental hexacosidishecatonicosachoron**, or **mif pixady**, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 600 octahedra, and 120 quasirhombicosidodecahedra. Two small stellated dodecahedra, five octahedra, and ten quasirhombicosidodecahedra join at each vertex.

It also has great icosidodecahedra as pseudofacets.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#130).

- Klitzing, Richard. "mif pixady".

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