# Truncated pentagonal duoprism

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Truncated pentagonal duoprism | |
---|---|

Rank | 4 |

Type | Isogonal |

Space | Spherical |

Notation | |

Bowers style acronym | Tapedip |

Elements | |

Cells | 25 tetragonal disphenoids, 10 truncated pentagonal prisms |

Faces | 100 isosceles triangles, 25 ditetragons, 10 dipentagons |

Edges | 50+50+100 |

Vertices | 100 |

Vertex figure | Sphenoid |

Measures (variant with decagon edge length 1) | |

Edge lengths | Lacing edges (100): |

Edges of decagons (50+50): 1 | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Tapedip |

Regiment | Tapedip |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{2}≀S_{2}, order 200 |

Convex | Yes |

Nature | Tame |

The **truncated pentagonal duoprism** or **tapedip** is a convex isogonal polychoron that consists of 10 truncated pentagonal prisms and 25 tetragonal disphenoids. 1 tetragonal disphenoid and 3 truncated pentagonal prisms join at each vertex. It can be formed by truncating the pentagonal duoprism.

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

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:1.14412.