# Truncated tetrahedral prism

Truncated tetrahedral prism | |
---|---|

Schlegel diagram | |

Type | Prismatic uniform polychoron |

Uniform index | 49 |

Schläfli symbol | t_{0,1}{3,3}×{} |

Coxeter-Dynkin | |

Cells | 10: 2 3.6.6 4 3.4.4 4 4.4.6 |

Faces | 24: 8 {3} + 18 {4} + 8 {6} |

Edges | 48 |

Vertices | 24 |

Vertex figure | Isosceles-triangular pyramid |

Symmetry group | [3,3,2], order 48 |

Properties | convex |

In geometry, a **truncated tetrahedral prism** is a convex uniform polychoron (four-dimensional polytope). This polychoron has 10 polyhedral cells: 2 truncated tetrahedra connected by 4 triangular prisms and 4 hexagonal prisms. It has 24 faces: 8 triangular, 18 square, and 8 hexagons. It has 48 edges and 24 vertices.

It is one of 18 uniform polyhedral prisms created by using uniform prisms to connect pairs of parallel Platonic solids and Archimedean solids.

## Alternative names

- Truncated-tetrahedral dyadic prism (Norman W. Johnson)
- Tuttip (Jonathan Bowers: for truncated-tetrahedral prism)
- Truncated tetrahedral hyperprism

## External links

- 6. Convex uniform prismatic polychora - Model 49, George Olshevsky.
- Klitzing, Richard. "4D uniform polytopes (polychora) x x3x3o - tuttip".

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