# Grand rhombic small hecatonicosihexacosichoron

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Grand rhombic small hecatonicosihexacosichoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Garshix |

Elements | |

Cells | 600 truncated octahedra, 120 rhombicosahedra |

Faces | 3600 squares, 1200+2400 hexagons |

Edges | 3600+7200 |

Vertices | 3600 |

Vertex figure | Crossed butterfly wedge, edge lengths √2 (4) and √3 (6) |

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Ri–6–toe: |

Toe–6–toe: | |

Ri–4–toe: 135° | |

Related polytopes | |

Army | Semi-uniform Srix, edge lengths (icosidodecahedra), (main triangles) |

Regiment | Sirghi |

Conjugate | Grand rhombic great hecatonicosihexacosichoron |

Abstract & topological properties | |

Flag count | 144000 |

Euler characteristic | –720 |

Orientable | No |

Properties | |

Symmetry | H_{4}, order 14400 |

Convex | No |

Nature | Tame |

The **grand rhombic small hecatonicosihexacosichoronn**, or **garshix**, is a nonconvex uniform polychoron that consists of 120 rhombicosahedra and 600 truncated octahedra. Two rhombicosahedra and four truncated octahedra join at each vertex.

## Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the small rhombated great hecatonicosachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 6: Sphenoverts" (#190).