# Small ditetrahedronary prismatodishecatonicosachoron

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Small ditetrahedronary prismatodishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sidtapady |

Elements | |

Cells | 120 doe, 720 pip, 120 sird |

Faces | 3600 squares, 1440 pentagons, 720 decagons |

Edges | 3600 |

Vertices | 600 |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 1087800 |

Level of complexity | 2278 |

Related polytopes | |

Army | Hi |

Regiment | Sidtaxhi |

Conjugate | Gard tapady |

Abstract & topological properties | |

Flag count | 115200 |

Euler characteristic | 1800 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

The **small ditetrahedronary prismatodishecatonicosachoron**, or **sidtapady**, is a nonconvex uniform polychoron that consists of 120 dodecahedra, 720 pentagonal prisms, and 120 small rhombidodecahedra. Four dodecahedra, twelve pentagonal prisms, and twelve small rhombidodecahedra 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" (#806).

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