# Truncated triangular prism

Jump to navigation
Jump to search

Truncated triangular prism | |
---|---|

Rank | 3 |

Space | Spherical |

Elements | |

Faces | 2 ditrigons, 3 rectangular-symmetric octagons, 6 isosceles triangles |

Edges | 3+6+6+12 |

Vertices | 6+12 |

Vertex figures | 6 isosceles triangles |

12 scalene triangles | |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Triakis triangular tegum |

Abstract & topological properties | |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | A_{2}×A_{1}, order 12 |

Convex | Yes |

Nature | Tame |

The **truncated triangular prism** is a polyhedron formed by truncating the vertices of the triangular prism. It has 6 isosceles triangles, 3 rectangular-symmetric octagons and 2 ditrigons as faces.

The canonical variant with midradius 1 has four edge lengths: one of length , one of length , one of length and the other of length . It has regular hexagons in place of ditrigons.

## Vertex coordinates[edit | edit source]

The vertices of a canonical truncated triangular prism of midradius 1 are given by:

## Related polytopes[edit | edit source]

A variant of the truncated triangular prism with (A_{2}×A_{1})+ symmetry occurs as the single cell-type of the tetraswirlic hexadecachoron.