# Small capped dipentary hecatonicosiprismatohexacosidishecatonicosachoron

The **small capped dipentary hecatonicosiprismatohexacosidishecatonicosachoron**, or **sicdiphip xady**, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 600 truncated tetrahedra, 120 truncated icosahedra, 720 pentagrammic prisms, and 120 small rhombicosidodecahedra. One small stellated dodecahedron, five truncated tetrahedra, five truncated icosahedra, five pentagrammic prisms, and five small rhombicosidodecahedra join at each vertex.

Small capped dipentary hecatonicosiprismatohexacosidishecatonicosachoron | |
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Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Sicdiphip xady |

Elements | |

Cells | 120 sissid, 600 tut, 120 ti, 720 stip, 120 srid |

Faces | 2400 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 based dipentary hecatonicosiprismatohexacosidishecatonicosachoron |

Abstract & topological properties | |

Flag count | 201600 |

Euler characteristic | 3840 |

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" (#1032).

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