# Small ditetrahedronary prismatohexacosihecatonicosachoron

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Small ditetrahedronary prismatohexacosihecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Siddit paxhi |

Elements | |

Cells | 600 tet, 720 pip, 120 srid |

Faces | 2400 triangles, 3600 squares, 1440 pentagons |

Edges | 3600 |

Vertices | 600 |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 1309680 |

Level of complexity | 2717 |

Related polytopes | |

Army | Hi |

Regiment | Sidtaxhi |

Conjugate | Gardtapaxhi |

Abstract & topological properties | |

Flag count | 115200 |

Euler characteristic | 3000 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Feral |

The **small ditetrahedronary prismatohexacosihecatonicosachoron**, or **siddit paxhi**, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 720 pentagonal prisms, and 120 small rhombicosidodecahedra. Four tetrahedra, twelve pentagonal prisms, and twelve small rhombicosidodecahedra join at each vertex.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small ditetrahedronary hexacosihecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#793).

- Klitzing, Richard. "siddit paxhi".

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