# Small dipentary prismatohecatonicositrishecatonicosachoron

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Small dipentary prismatohecatonicositrishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Sidpiphithi |

Elements | |

Cells | 120 gike, 720 stip, 120 ided, 120 srid, 120 siddy |

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

Edges | 3600+3600 |

Vertices | 1440 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Semi-uniform Tex |

Regiment | Padohi |

Conjugate | Great dipentary prismatohecatonicositrishecatonicosachoron |

Abstract & topological properties | |

Flag count | 230400 |

Euler characteristic | 5040 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **small dipentary prismatohecatonicositrishecatonicosachoron**, or **sidpiphithi**, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 720 pentagrammic prisms, 120 icosidodecadodecahedra, 120 small rhombicosidodecahedra, and 120 small dodecicosahedra. One great icosahedron, five pentagrammic prisms, five icosidodecadodecahedra, five small rhombicosidodecahedra, and five small dodecicosahedra 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" (#1034).

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