# Triangular tetrambitriate

Triangular tetrambitriate | |
---|---|

Rank | 4 |

Type | Isotopic |

Elements | |

Cells | 18 wedges |

Faces | 18 isosceles triangles, 18 isosceles trapezoids, 9 squares |

Edges | 6+18+18 |

Vertices | 6+9 |

Vertex figure | 6 triangular tegums, 9 digonal scalenohedra |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Triangular ditetragoltriate |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | A_{2}≀S_{2}, order 72 |

Convex | Yes |

Nature | Tame |

The **triangular tetrambitriate** is a convex isochoric polychoron and member of the tetrambitriate family with 18 wedges as cells. It is the first in an infinite family of isochoric triangular tegmatic swirlchora.

Each cell of this polychoron has rectangular pyramidal symmetry, with 1 square, 2 isosceles trapezoids, and 2 isosceles triangles for faces.

## External links[edit | edit source]

- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".