# Tetrahemihexahedral prism

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Tetrahemihexahedral prism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Thahp |

Coxeter diagram | (x x3/2o3x)/2 ()/2 |

Elements | |

Cells | 4 triangular prisms, 3 cubes, 2 tetrahemihexahedra |

Faces | 8 triangles, 6+12 squares |

Edges | 6+24 |

Vertices | 12 |

Vertex figure | Bowtie pyramid, edge lengths 1 and √2 (base), √2 (legs) |

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Thah–3–trip: 90° |

Thah–4–cube: 90° | |

Trip–4–cube: | |

Height | 1 |

Number of pieces | 24 |

Related polytopes | |

Army | Ope |

Regiment | Ope |

Dual | Tetrahemihexacronic tegum |

Conjugate | None |

Abstract properties | |

Euler characteristic | –1 |

Topological properties | |

Orientable | No |

Properties | |

Symmetry | A_{3}×A_{1}, order 48 |

Convex | No |

Nature | Tame |

The **tetrahemihexahedral prism** or **thahp** is a prismatic uniform polychoron that consists of 2 tetrahemihexahedra, 4 triangular prisms, and 3 cubes. Each vertex joins 1 tetrahemihexahedron, 4 triangular prisms, and 3 cubes. As the name suggests, it is a prism based on the tetrahemihexahedron.

## Cross-sections[edit | edit source]

## Vertex coordinates[edit | edit source]

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

## External links[edit | edit source]

- Bowers, Jonathan. "Category 19: Prisms" (#897).

- Klitzing, Richard. "thahp".