# Small retroditetrahedronary dishecatonicosihexacosichoron

The **small retroditetrahedronary dishecatonicosihexacosichoron**, or **sradditdahix**, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 600 tetrahedra, and 120 small dodecicosidodecahedra. Four ditrigonary dodecadodecahedra, four tetrahedra, and twelve small dodecicosidodecahedra join at each vertex.

Small retroditetrahedronary dishecatonicosihexacosichoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Sradditdahix |

Elements | |

Cells | 120 ditdid, 600 tet, 120 saddid |

Faces | 2400 triangles, 1440 pentagons, 720 pentagrams, 720 decagons |

Edges | 3600 |

Vertices | 600 |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 169560 |

Level of complexity | 439 |

Related polytopes | |

Army | Hi |

Regiment | Sidtaxhi |

Conjugate | Gard tadhix |

Abstract & topological properties | |

Flag count | 100800 |

Euler characteristic | 1440 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Wild |

## Vertex coordinates edit

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

## External links edit

- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#799).

- Klitzing, Richard. "sradditdahix".

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