# Triangular tetrambitriate

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.

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 |

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

## External links edit

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