# Pental prismatohecatonicosintercepted hecatonicosachoron

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Pental prismatohecatonicosintercepted hecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Paphiny |

Elements | |

Cells | 120 ike, 120 saddid, 720 pip |

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

Edges | 3600 |

Vertices | 720 |

Edge figure | ike.saddid.saddid.pip.pip.pip.saddid.saddid |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 13320 |

Level of complexity | 23 |

Related polytopes | |

Army | Rox |

Regiment | Rox |

Conjugate | Inverted retropental prismatointercepted dishecatonicosachoron |

Convex core | Hecatonicosachoron |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **pental prismatohecatonicosintercepted hecatonicosachoron**, or **paphiny**, is a nonconvex uniform polychoron that consists of 120 icosahedra, 120 small dodecicosidodecahedra, 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" (#86).