# Triangular-dodecagonal duotegum

The **triangular-dodecagonal duotegum**, also known as the **3-12 duotegum**, is a duotegum that consists of 36 digonal disphenoids and 15 vertices.

Triangular-dodecagonal duotegum | |
---|---|

Rank | 4 |

Type | Uniform dual |

Notation | |

Coxeter diagram | m3o2m12o |

Elements | |

Cells | 36 digonal disphenoids |

Faces | 36+36 isosceles triangles |

Edges | 3+12+36 |

Vertices | 3+12 |

Vertex figure | 12 triangular tegums, 3 dodecagonal tegums |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Triangular-dodecagonal duoprism |

Conjugate | Triangular-dodecagrammic duotegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | A_{2}×I_{2}(12), order 144 |

Convex | Yes |

Nature | Tame |

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