# Small dipentary trishecatonicosiprismatohexacosichoron

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Small dipentary trishecatonicosiprismatohexacosichoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Sidpithipix |

Elements | |

Cells | 120 gad, 1200 trip, 600 oho, 120 srid, 120 siddy |

Faces | 4800 triangles, 3600 squares, 1440 pentagons, 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 trishecatonicosiprismatohexacosichoron |

Abstract & topological properties | |

Flag count | 230400 |

Euler characteristic | 5040 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **small dipentary trishecatonicosiprismatohexacosichoron**, or **sidpithipix**, is a nonconvex uniform polychoron that consists of 120 great dodecahedra, 1200 triangular prisms, 600 octahemioctahedra, 120 small rhombicosidodecahedra, and 120 small dodecicosahedra. One great dodecahedron, five triangular prisms, five octahemioctahedra, 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" (#1035).

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