# Small ditetrahedronary disprismatohecatonicosachoron

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Small ditetrahedronary disprismatohecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sidtadphi |

Elements | |

Cells | 120 id, 720 pip, 1200 trip |

Faces | 2400 triangles, 3600 squares, 1440 pentagons |

Edges | 3600 |

Vertices | 600 |

Edge figure | (trip 4 pip 5 id 3 trip 4 pip 4 trip 3 id 5 pip 4) |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 1357680 |

Level of complexity | 2836 |

Related polytopes | |

Army | Hi |

Regiment | Sidtaxhi |

Conjugate | Gadtadaphi |

Abstract & topological properties | |

Flag count | 115200 |

Euler characteristic | 2400 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Feral |

The **small ditetrahedronary disprismatohecatonicosachoron**, or **sidtadphi**, is a nonconvex uniform polychoron that consists of 120 icosidodecahedra, 720 pentagonal prisms, and 1200 triangular prisms. Six icosidodecahedra, twelve pentagonal prisms, and twelve triangular prisms 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" (#785).

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