# Small disnub hexacosihexacosichoron

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Small disnub hexacosihexacosichoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sidsoxix |

Elements | |

Cells | 600 icosahedra, 600 truncated dodecahedra, 2400 golden hexagrammic antiprisms |

Faces | 12000+14400 triangles, 2400 golden hexagrams, 3600 decagons |

Edges | 7200+7200+14400 |

Vertices | 3600 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Semi-uniform Srix |

Regiment | Sadsadox |

Conjugate | Gidsoxix |

Abstract & topological properties | |

Euler characteristic | 3600 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}+, order 7200 |

Convex | No |

Nature | Tame |

The **small disnub hexacosihexacosichoron**, or **sidsoxix**, is a nonconvex uniform polychoron that consists of 600 icosahedra, 600 truncated dodecahedra, and 4800 octahedra (which form 2400 golden hexagrammic antiprisms). Two icosahedra, ten truncated dodecahedra, and eight octahedra (eight compounds) join at each vertex.

It can be obtained as the blend of 5 rox and 5 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" (#1476).

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