# Triangular duotransitionaltertegum

The **triangular duotransitionaltertegum** is a convex isochoric polychoron and member of the duotransitionaltertegum family with 36 kite pyramids as cells.

Triangular duotransitionaltertegum | |
---|---|

Rank | 4 |

Type | Isotopic |

Elements | |

Cells | 36 kite pyramids |

Faces | 36 scalene triangles, 36 isosceles triangles, 18 kites |

Edges | 9+12+18+36 |

Vertices | 6+6+9 |

Vertex figure | 6 triangular tegums, 9 digonal scalenohedra, 6 vertical-laterobisected joined triangular prisms |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Triangular duotransitionalterprism |

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 mirror symmetry, with 1 kite, 2 isosceles triangles, and 2 scalene triangles for faces.