# Small ditetrahedronary hecatonicosihexacosihecatonicosachoron

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Small ditetrahedronary hecatonicosihexacosihecatonicosachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sadthixhi |

Elements | |

Cells | 600 tet, 120 doe, 120 saddid |

Faces | 2400 triangles, 1440 pentagons, 720 decagons |

Edges | 3600 |

Vertices | 600 |

Measures (edge length 1) | |

Circumradius | |

Number of external pieces | 197400 |

Level of complexity | 403 |

Related polytopes | |

Army | Hi |

Regiment | Sidtaxhi |

Conjugate | Gadathixhi |

Abstract & topological properties | |

Flag count | 86400 |

Euler characteristic | 720 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Feral |

The **small ditetrahedronary hecatonicosihexacosihecatonicosachoron**, or **sadthixhi**, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 120 dodecahedra, and 120 small dodecicosidodecahedra. Four tetrahedra, four dodecahedra, 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" (#800).

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