# Polar facetopental prismatohexacosihecatonicosachoron

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Polar facetopental prismatohexacosihecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Lifpipixhi |

Elements | |

Cells | 120 saddid, 600 oct, 720 pip |

Faces | 1200+2400 triangles, 1800 squares, 1440 pentagons, 720 decagons |

Edges | 3600 |

Vertices | 720 |

Edge figure | oct.saddid.saddid.pip.pip.pip.saddid.saddid.oct |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 17520 |

Level of complexity | 33 |

Related polytopes | |

Army | Rox |

Regiment | Rox |

Conjugate | Omnifacetopental prismatohexacosihecatonicosachoron |

Convex core | Hecatonicosachoron |

Abstract & topological properties | |

Euler characteristic | 3240 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **polar facetopental prismatohexacosihecatonicosachoron**, or **lifpipixhi**, is a nonconvex uniform polychoron that consists of 120 small dodecicosidodecahedra, 600 octahedra, and 720 pentagonal prisms.

It is in the regiment of the rectified hexacosichoron.

## Gallery[edit | edit source]

## External links[edit | edit source]

- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#81).

- Klitzing, Richard. "lifpipixhi".