# Small hexadecahemihexadecachoron

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Small hexadecahemihexadecachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Shahoh |

Elements | |

Cells | 16 octahedra, 8 octahemioctahedra |

Faces | 32+64 triangles, 16 hexagons |

Edges | 96 |

Vertices | 24 |

Vertex figure | Inverted square prism, edge lengths 1 (base and sides of prism) and √2 (diagonal side edges) |

Measures (edge length 1) | |

Circumradius | 1 |

Hypervolume | |

Dichoral angles | Oct–3–oct: 120° |

Oho–6–oho: 120° | |

Oct–3–oho: 60° | |

Number of external pieces | 80 |

Level of complexity | 6 |

Related polytopes | |

Army | Ico |

Regiment | Ico |

Conjugate | None |

Abstract & topological properties | |

Orientable | Yes |

Properties | |

Symmetry | B_{4}, order 38 |

Convex | No |

Nature | Tame |

The **small hexadecahemihexadecachoron**, or **shahoh**, is a nonconvex uniform polychoron. It consists of 16 octahedra and 8 central octahemioctahedra, with 4 octahedra and 4 octahemioctahedra at each vertex.

As well as being isogonal, it is also isotoxal.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the icositetrachoron.

## External links[edit | edit source]

- Bowers, Jonathan. "Category 4: Ico Regiment" (#62).

- Klitzing, Richard. "shahoh".