# Retroditetrahedronary disprismatohecatonicosachoron

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Retroditetrahedronary disprismatohecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Raddit diphi |

Elements | |

Cells | 120 did, 720 stip, 720 pip |

Faces | 3600 squares, 1440 pentagons, 1440 pentagrams |

Edges | 3600 |

Vertices | 600 |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 564480 |

Level of complexity | 1531 |

Related polytopes | |

Army | Hi |

Regiment | Dattady |

Conjugate | Retroditetrahedronary disprismatohecatonicosachoron |

Abstract & topological properties | |

Flag count | 115200 |

Euler characteristic | 1920 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Feral |

The **retroditetrahedronary disprismatohecatonicosachoron**, or **raddit diphi**, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 720 pentagrammic prisms, and 720 pentagonal prisms. Six dodecadodecahedra, twelve pentagrammic prisms, and twelve pentagonal prisms join at each vertex.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the ditetrahedronary dishecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#822).

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