# Small disnubsnub dishexacosichoron

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Small disnubsnub dishexacosichoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sidsosadex |

Elements | |

Cells | 600 truncated dodecahedra, 600 small dodecicosidodecahedra, 2400 golden hexagrammic antiprisms, 3600 pentagonal prisms |

Faces | 12000+14400 triangles, 9000 squares, 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 | Gidsosadex |

Abstract & topological properties | |

Euler characteristic | 19800 |

Orientable | Yes |

Properties | |

Symmetry | H_{4}+, order 7200 |

Convex | No |

Nature | Wild |

The **small disnubsnub dishexacosichoron**, or **sidsosadex**, is a nonconvex uniform polychoron that consists of 600 truncated dodecahedra, 600 small dodecicosidodecahedra, 4800 octahedra (some of which lie in the same hyperplanes, forming 2400 golden hexagrammic antiprisms), and 3600 pentagonal prisms. Ten truncated dodecahedra, ten small dodecicosidodecahedra, eight octahedra (eight compounds), and ten pentagonal prisms join at each vertex.

It can be obtained as the blend of 5 rixhi and 5 lifpipixhi. 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" (#1482).

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