# Dodecagonal duotruncatoprism

Jump to navigation
Jump to search

Dodecagonal duotruncatoprism | |
---|---|

Rank | 4 |

Type | Isogonal |

Notation | |

Bowers style acronym | Twadtep |

Elements | |

Cells | 144 tetragonal disphenoids, 288 wedges, 144 rectangular trapezoprisms, 24 didodecagonal prisms |

Faces | 576 isosceles triangles, 576 isosceles trapezoids, 288+288 rectangles, 24 didodecagons |

Edges | 288+288+576+576 |

Vertices | 576 |

Vertex figure | Mirror-symmetric bi-apiculated tetrahedron |

Measures (based on icositetragon edge length 1 and same radius ratio as uniform-derived dodecagonal duoexpandoprism) | |

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

Edges of pseudo-dodecagons (576): | |

Lacing edges (576): | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Twadtep |

Regiment | Twadtep |

Dual | Dodecagonal duotruncatotegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

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

Convex | Yes |

Nature | Tame |

The **dodecagonal duotruncatoprism** is a convex isogonal polychoron and the eleventh member of the duotruncatoprism family. It consists of 24 didodecagonal prisms, 144 rectangular trapezoprisms, 288 wedges, and 144 tetragonal disphenoids. 2 didodecagonal duoprisms, 2 rectangular trapezoprisms, 3 wedges, and 1 tetragonal disphenoid join at each vertex. It can be obtained as the convex hull of two orthogonal dodecagonal-didodecagonal duoprisms whose didodecagonal prisms have a smaller circumradius than their dodecagonal prisms. However, it cannot be made uniform.