# Small inverted disnub dishexacosichoron

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Small inverted disnub dishexacosichoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sidsadox |

Elements | |

Cells | 2400 golden hexagrammic antiprisms, 600 compounds of 2 truncated dodecahedra |

Faces | 7200+14400 triangles, 4800 golden hexagrams, 7200 decagons |

Edges | 7200+7200+14400 |

Vertices | 3600 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Semi-uniform Srix |

Regiment | Sadsadox |

Conjugate | Gidsadox |

Abstract & topological properties | |

Euler characteristic | 7200 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **small inverted disnub dishexacosichoron**, or **sidsadox**, is a nonconvex uniform polychoron that consists of 1200 truncated dodecahedra (some of which lie in the same hyperplanes, forming 600 compounds of two of them) and 4800 octahedra (which form 2400 golden hexagrammic antiprisms). Twenty truncated dodecahedra (twenty compounds) and eight octahedra (eight compounds) join at each vertex.

It can be obtained as the blend of 10 rixhi. 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" (#1475).

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