# Hexadecintercepted prismatotesseractihexadecachoron

The **hexadecintercepted prismatotesseractihexadecachoron**, or **hinpith**, is a nonconvex uniform polychoron that consists of 8 cuboctahedra, 16 octahemioctahedra, 24 cubes, and 16 truncated octahedra. One cuboctahedron, two octahemioctahedra, two cubes, and four truncated octahedra join at each vertex.

Hexadecintercepted prismatotesseractihexadecachoron | |
---|---|

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Hinpith |

Elements | |

Cells | 24 cubes, 8 cuboctahedra, 16 octahemioctahedra, 16 truncated octahedra |

Faces | 32+64 triangles, 48+96 squares, 32+64 hexagons |

Edges | 96+192 |

Vertices | 96 |

Vertex figure | Windowed wedge, edge lengths 1 (3), √2 (6), and √3 (6) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Oho–3–oho: 120° |

Oho–3–co: 120° | |

Co–4–toe: 90° | |

Toe–6–toe: 60° | |

Oho–6–toe: 60° | |

Toe–4–cube: 45° | |

Related polytopes | |

Army | Rico |

Regiment | Rico |

Conjugate | None |

Convex core | Hexadecachoron |

Abstract & topological properties | |

Flag count | 5760 |

Euler characteristic | 80 |

Orientable | Yes |

Properties | |

Symmetry | B_{4}, order 384 |

Convex | No |

Nature | Wild |

## Vertex coordinates edit

The vertices are the same as those of the regiment colonel, the rectified icositetrachoron.

## External links edit

- Bowers, Jonathan. "Category 6: Sphenoverts" (#150).