# Small retroinverted ditetrahedronary dishecatonicosachoron

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Small retroinverted ditetrahedronary dishecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sridatady |

Elements | |

Cells | 120 gidtid, 120 saddid |

Faces | 2400 triangles, 1440 pentagons, 720 decagons |

Edges | 3600 |

Vertices | 600 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Hi |

Regiment | Sidtaxhi |

Conjugate | Gadtardy |

Abstract & topological properties | |

Flag count | 86400 |

Euler characteristic | 1320 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Feral |

The **small retroinverted ditetrahedronary dishecatonicosachoron**, or **sridatady**, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra and 120 small dodecicosidodecahedra. Four great ditrigonary icosidodecahedra and twelve small dodecicosidodecahedra 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" (#797).

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