# Truncated dodecagonal duoprism

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Truncated dodecagonal duoprism | |
---|---|

Rank | 4 |

Type | Isogonal |

Space | Spherical |

Notation | |

Bowers style acronym | Tatwaddip |

Elements | |

Cells | 144 tetragonal disphenoids, 24 truncated dodecagonal prisms |

Faces | 576 isosceles triangles, 144 ditetragons, 24 didodecagons |

Edges | 288+288+576 |

Vertices | 576 |

Vertex figure | Sphenoid |

Measures (based on icositetragon edge length 1) | |

Edge lengths | Lacing edges (576): |

Edges of icositetragons (288+288): 1 | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Tatwaddip |

Regiment | Tatwaddip |

Dual | Tetrakis dodecagonal duotegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

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

Convex | Yes |

Nature | Tame |

The **truncated dodecagonal duoprism** or **tatwaddip** is a convex isogonal polychoron that consists of 24 truncated dodecagonal prisms and 144 tetragonal disphenoids. 1 tetragonal disphenoid and 3 truncated dodecagonal prisms join at each vertex. It can be formed by truncating the dodecagonal duoprism.

It can also be obtained as the convex hull of 2 semi-uniform dodecagonal-icositetragonal duoprisms chosen such that the icositetragonal and dodecagonal prisms have the same circumradius. if the icositetragons of this duoprism have edge length 1, the dodecagons have edge length .

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:1.36603.