# Small disnub trishexacosichoron

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Small disnub trishexacosichoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sadistex |

Elements | |

Cells | 600 great dodecahedra, 600 truncated dodecahedra, 600 small dodecicosidodecahedra, 2400 golden hexagrammic antiprisms |

Faces | 12000+14400 triangles, 7200 pentagons, 2400 golden hexagrams, 7200 decagons |

Edges | 7200+7200+14400 |

Vertices | 3600 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Semi-uniform Srix |

Regiment | Sadsadox |

Conjugate | Gadistex |

Abstract & topological properties | |

Euler characteristic | 13800 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}+, order 7200 |

Convex | No |

Nature | Wild |

The **small disnub trishexacosichoron**, or **sadistex**, is a nonconvex uniform polychoron that consists of 600 great dodecahedra, 600 truncated dodecahedra, 600 small dodecicosidodecahedra, and 4800 octahedra (some of which lie in the same hyperplanes, forming 2400 golden hexagrammic antiprisms). Two great dodecahedra, ten truncated dodecahedra, ten small dodecicosidodecahedra, and eight octahedra (eight compounds) join at each vertex.

It can be obtained as the blend of 5 rixhi and 5 ipixady. In the process, some of the octahedron cells blend out.

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small disnub dishexacosichoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 27: Sidtaps and Gidtaps" (#1480).

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