# Small dipentary dishecatonicosiprismatotrishecatonicosachoron

The **small dipentary dishecatonicosiprismatotrishecatonicosachoron**, or **sidpid hipthi**, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 icosahedra, 720 pentagrammic prisms, 120 truncated icosahedra, 120 small rhombicosidodecahedra, and 120 small icosicosidodecahedra. One great icosahedron, one icosahedron, five pentagrammic prisms, five truncated icosahedra, five small rhombicosidodecahedra, and five small icosicosidodecahedra join at each vertex.

Small dipentary dishecatonicosiprismatotrishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Sidpid hipthi |

Elements | |

Cells | 120 gike, 120 ike, 720 stip, 120 ti, 120 srid, 120 siid |

Faces | 4800 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons |

Edges | 3600+3600 |

Vertices | 1440 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Semi-uniform Tex |

Regiment | Padohi |

Conjugate | Great dipentary dishecatonicosiprismatotrishecatonicosachoron |

Abstract & topological properties | |

Flag count | 230400 |

Euler characteristic | 6600 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

## Vertex coordinates edit

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

## External links edit

- Bowers, Jonathan. "Category 21: Padohi Regiment" (#1005).

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