# Dodecagonal disphenoid

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Dodecagonal disphenoid | |
---|---|

Rank | 5 |

Type | Noble |

Notation | |

Bowers style acronym | Twadow |

Elements | |

Tera | 24 dodecagonal scalenes |

Cells | 144 tetragonal disphenoids, 24 dodecagonal pyramids |

Faces | 288 isosceles triangles, 2 dodecagons |

Edges | 24+144 |

Vertices | 24 |

Vertex figure | Dodecagonal scalene |

Measures (base edge length 1, height h) | |

Edge lengths | Edges of base dodecagons (24): 1 |

Lacing edges (144): | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Twadow |

Regiment | Twadow |

Dual | Dodecagonal disphenoid |

Abstract & topological properties | |

Euler characteristic | 2 |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(12)▲S_{2}, order 1152 |

Convex | Yes |

Nature | Tame |

The **dodecagonal disphenoid** or **twadow** is a convex noble polyteron with 24 dodecagonal scalenes as facets. 14 facets join at each vertex. However, it cannot be made scaliform, because the length of the lacing edges must be greater than the base edges.