# Small diretrosnub disnub decahecatonicosadishexacosichoron

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Small diretrosnub disnub decahecatonicosadishexacosichoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sadros daskydox |

Elements | |

Cells | 600 snub disoctahedra, 2400 compound of two octahemioctahedra, 2400 compound of two truncated tetrahedra, 120 truncated icosicosahedra |

Faces | 3×4800+2×14400 triangles, 2400+4800+14400 hexagons |

Edges | 14400+2×21600 |

Vertices | 7200 |

Measures (edge length 1) | |

Circumradius | |

Related polytopes | |

Army | Semi-uniform Prahi |

Regiment | Sadros daskydox |

Conjugate | Great diretrosnub disnub decahecatonicosadishexacosichoron |

Convex core | Hecatonicosatruncated triangular-antitegmatic dischiliatetracosichoron |

Abstract properties | |

Euler characteristic | 2400 |

Topological properties | |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **small diretrosnub disnub decahecatonicosadishexacosichoron**, or **sadros daskydox**, is a nonconvex uniform polychoron that consists of 1200 regular icosahedra (falling in pairs in the same hyperplane, forming 600 snub disoctahedra), 4800 octahemioctahedra (also falling into the same plane, forming a compound of two octahemioctahedra), 4800 truncated tetrahedra (forms a compound of two truncated tetrahedra), and 1200 more truncated tetrahedra (forms 120 truncated icosicosahedra).

This polychoron can be obtained as the blend of 10 small dipentary hecatonicosidishexacosichora. In the process some of the octahemioctahedra blend out fully, while the other cells compound as noted above.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 28: Idcossids" (#1492).