# Omnifacetopental prismatohexacosihecatonicosachoron

(Redirected from Ofpipixhi)

Omnifacetopental prismatohexacosihecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Ofpipixhi |

Elements | |

Cells | 600 oct, 720 stip, 120 gaddid |

Faces | 3600 triangles, 1800 squares, 1440 pentagrams, 720 decagrams |

Edges | 3600 |

Vertices | 720 |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 253440 |

Level of complexity | 628 |

Related polytopes | |

Army | Rox |

Regiment | Rigfix |

Conjugate | Lifpipixhi |

Convex core | Joined hexacosichoron |

Abstract & topological properties | |

Euler characteristic | 3240 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **omnifacetopental prismatohexacosihecatonicosachoron**, or **ofpipixhi**, is a nonconvex uniform polychoron that consists of 600 octahedra, 720 pentagrammic prisms, and 120 great dodecicosidodecahedra. Five octahedra, ten pentagrammic prisms, and ten great dodecicosidodecahedra join at each vertex.

It also has great complex icosidodecahedra and great icosidodecahedra+decagrams as exotic 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" (#129).

- Klitzing, Richard. "ofpipixhi".

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