# Dodecagonal tegum

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Dodecagonal tegum | |
---|---|

Rank | 3 |

Type | Uniform dual |

Space | Spherical |

Notation | |

Bowers style acronym | Twit |

Coxeter diagram | m2m12o |

Elements | |

Faces | 24 isosceles triangles |

Edges | 12+24 |

Vertices | 2+12 |

Vertex figure | 2 dodecagons, 12 squares |

Measures (edge length 1) | |

Dihedral angle | |

Central density | 1 |

Related polytopes | |

Army | Twit |

Regiment | Twit |

Dual | Dodecagonal prism |

Conjugate | Dodecagrammic tegum |

Abstract & topological properties | |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | I_{2}(12)×A_{1}, order 48 |

Convex | Yes |

Nature | Tame |

The **dodecagonal tegum** or **twit**, also called a **dodecagonal bipyramid**, is a tegum with a dodecagon as the midsection, constructed as the dual of a dodecagonal prism. It has 24 isosceles triangles as faces, with 2 order–12 and 12 order–4 vertices.

In the variant obtained as the dual of a uniform dodecagonal prism, the side edges are times the length of the edges of the base dodecagon. Each face has apex angle and base angles . If the base dodecagon has edge length 1, its height is .