# Triangular frustum

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Triangular frustum | |
---|---|

Rank | 3 |

Notation | |

Bowers style acronym | Trif |

Coxeter diagram | xy3oo&#z |

Elements | |

Faces | 1+1 triangles, 3 isosceles trapezoids |

Edges | 3+3+3 |

Vertices | 3+3 |

Vertex figure | Isosceles triangle (two types) |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Pyramidal-symmetric triangular tegum |

Conjugate | Triangular frustum |

Abstract & topological properties | |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | A_{2}×I, order 6 |

Convex | Yes |

Nature | Tame |

The **triangular frustum** or **trif**, also known as a **triangular podium**, is a variant of the triangular prism where the bases are different sized equilateral triangles. It generally has two different sized triangles and 3 isosceles trapezoids as faces.

## In vertex figures[edit | edit source]

4 nonconvex uniform polychora have triangular frustums for vertex figures, including the great tesseractitesseractihexadecachoron, great ditrigonal hecatonicosihexacosihecatonicosachoron, great hexacosihecatonicosihecatonicosachoron, and small hecatonicosihecatonicosihexacosichoron.