# Bidecagonal duotransitionalterprism

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Bidecagonal duotransitionalterprism | |
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File:Bidecagonal duotransitionalterprism.png | |

Rank | 4 |

Type | Isogonal |

Elements | |

Cells | 100 rectangular trapezoprisms, 20 didecagonal prisms, 20 orthoaligned truncated decagonal prisms |

Faces | 400 isosceles trapezoids, 200+200 rectangles, 100 ditetragons, 40 didecagons |

Edges | 400+400+400+400 |

Vertices | 800 |

Vertex figure | Irregular tetrahedron |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Dual | Bidecagonal duotransitionaltertegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | I_{2}(10)≀S_{2}, order 800 |

Convex | Yes |

Nature | Tame |

The **bidecagonal duotransitionalterprism** is a convex isogonal polychoron and the ninth member of the bipolygonal duotransitionalterprism family. It consists of 20 orthoaligned truncated decagonal prisms, 20 didecagonal prisms, and 100 rectangular trapezoprisms. 2 orthoaligned truncated decagonal prisms, 1 didecagonal prism, and 1 rectangular trapezoprism join at each vertex. It can be obtained as the convex hull of two orthogonal didecagonal-didecagonal duoprisms. However, it cannot be made scaliform.

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

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:2.34500.

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