# Small based dipentary prismatohexacositrishecatonicosachoron

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Small based dipentary prismatohexacositrishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Sibdip pixthi |

Elements | |

Cells | 120 gike, 120 ike, 1200 trip, 600 tut, 120 ri |

Faces | 4800 triangles, 3600 squares, 2400 hexagons |

Edges | 3600+3600 |

Vertices | 1440 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Semi-uniform Tex |

Regiment | Padohi |

Conjugate | Great based dipentary prismatohexacositrishecatonicosachoron |

Abstract & topological properties | |

Flag count | 172800 |

Euler characteristic | 2880 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Feral |

The **small based dipentary prismatohexacositrishecatonicosachoron**, or **sibdip pixthi**, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 icosahedra, 1200 triangular prisms, 600 truncated tetrahedra, and 120 rhombicosahedra. One great icosahedron, one icosahedron, five triangular prisms, five truncated tetrahedra, and five rhombicosahedra join at each vertex.

It has the same cell counts as its conjugate, the great based dipentary prismatohexacositrishecatonicosachoron.

## 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" (#1001).

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