# Truncated decagonal duoprism

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Truncated decagonal duoprism | |
---|---|

Rank | 4 |

Type | Isogonal |

Space | Spherical |

Notation | |

Bowers style acronym | Tadedip |

Elements | |

Cells | 100 tetragonal disphenoids, 20 truncated decagonal prisms |

Faces | 400 isosceles triangles, 100 ditetragons, 20 didecagons |

Edges | 200+200+400 |

Vertices | 400 |

Vertex figure | Sphenoid |

Measures (variant with icosagon edge length 1) | |

Edge lengths | Lacing edges (400): |

Edges of icosagons (200+200): 1 | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Tadedip |

Regiment | Tadedip |

Dual | Tetrakis decagonal duotegum |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

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

Convex | Yes |

Nature | Tame |

The **truncated decagonal duoprism** or **tadedip** is a convex isogonal polychoron that consists of 20 truncated decagonal prisms and 100 tetragonal disphenoids. 1 tetragonal disphenoid and 3 truncated decagonal prisms join at each vertex. It can be formed by truncating the decagonal duoprism.

It can also be obtained as the convex hull of 2 semi-uniform decagonal-icosagonal duoprisms chosen such that the icosagonal and decagonal prisms have the same circumradius. if the icosagons of this duoprism have edge length 1, the decagons have edge length .

Using the ratio method, the lowest poossible ratio between the longest and shortest edges is 1: ≈ 1:1.34500.