# Small invertibased dipentary prismatotrishecatonicosachoron

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Small invertibased dipentary prismatotrishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Sibed pipithi |

Elements | |

Cells | 120 gad, 1200 trip, 120 raded, 120 sidditdid |

Faces | 2400 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 720 decagons |

Edges | 3600+3600 |

Vertices | 1440 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Semi-uniform Tex |

Regiment | Padohi |

Conjugate | Great inverticapped dipentary prismatotrishecatonicosachoron |

Abstract & topological properties | |

Flag count | 172800 |

Euler characteristic | 2280 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **small invertibased dipentary prismatotrishecatonicosachoron**, or **sibed pipithi**, is a nonconvex uniform polychoron that consists of 120 great dodecahedra, 1200 triangular prisms, 120 rhombidodecadodecahedra, and 120 small ditrigonal dodecicosidodecahedra. One great dodecahedron, five triangular prisms, five rhombidodecadodecahedra, and five small ditrigonal dodecicosidodecahedra join at each vertex.

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 21: Padohi Regiment" (#1019).

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