# Small disnub hexacosidishexacosichoron

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Small disnub hexacosidishexacosichoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sidsaxadox |

Elements | |

Cells | 600 compounds of 1 regular icosahedron and 1 great dodecahedron, 600 small dodecicosidodecahedra, 2400 golden hexagrammic antiprisms |

Faces | 12000+14400 triangles, 7200 pentagons, 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 | Gidsaxadox |

Abstract & topological properties | |

Euler characteristic | 10200 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}+, order 7200 |

Convex | No |

Nature | Wild |

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

It can be obtained as the blend of 5 rox 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" (#1477).

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