# Hexadecintercepted tesseract

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Hexadecintercepted tesseract | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Hinnit |

Elements | |

Cells | 16 truncated tetrahedra, 8 cuboctahedra |

Faces | 64 triangles, 24 squares, 32 hexagons |

Edges | 96 |

Vertices | 32 |

Vertex figure | Triangular toroprism, edge lengths 1 (base edges), √2 (sides of rectangles), and √3 (sides of triangles) |

Edge figure | co 4 co 3 tut 6 tut 6 tut 3 |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Co–4–co: 90° |

Co–3–tut: 60° | |

Tut–6–tut: 60° | |

Central density | 5 |

Number of pieces | 72 |

Level of complexity | 6 |

Related polytopes | |

Army | Rit |

Regiment | Rit |

Conjugate | None |

Convex core | Hexadecachoron |

Abstract properties | |

Euler characteristic | 32 |

Topological properties | |

Orientable | Yes |

Properties | |

Symmetry | B_{4}, order 384 |

Convex | No |

Nature | Wild |

The **hexadecintercepted tesseract**, or **hinnit**, is a nonconvex uniform polychoron that consists of 8 cuboctahedra and 16 truncated tetrahedra. 3 cuboctahedra and 6 truncated tetrahedra join at each vertex.

It is wild because it has cuboctahedra intercepted by hexagons.

It also has 16 tetrahedra as pseudofacets.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 3: Triangular Rectates" (#44).

- Klitzing, Richard. "hinnit".