# Bidodecagonal duotransitionalterprism

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Bidodecagonal duotransitionalterprism | |
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File:Bidodecagonal duotransitionalterprism.png | |

Rank | 4 |

Type | Isogonal |

Elements | |

Cells | 144 rectangular trapezoprisms, 24 didodecagonal prisms, 24 orthoaligned truncated dodecagonal prisms |

Faces | 576 isosceles trapezoids, 288+288 rectangles, 144 ditetragons, 48 didodecagons |

Edges | 576+576+576+576 |

Vertices | 1152 |

Vertex figure | Irregular tetrahedron |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Bidodecagonal duotransitionaltertegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

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

Convex | Yes |

Nature | Tame |

The **bidodecagonal duotransitionalterprism** is a convex isogonal polychoron and the eleventh member of the bipolygonal duotransitionalterprism family. It consists of 24 orthoaligned truncated dodecagonal prisms, 24 didodecagonal prisms, and 144 rectangular trapezoprisms. 2 orthoaligned truncated dodecagonal prisms, 1 didodecagonal prism, and 1 rectangular trapezoprism join at each vertex. It can be obtained as the convex hull of two orthogonal didodecagonal-didodecagonal duoprisms. However, it cannot be made scaliform.

This polychoron can be alternated into a snub dodecagonal duotransitionalterprism, which is also not scaliform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:2.36603.

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