# Pentagrammic duoprism

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Pentagrammic duoprism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Stardip |

Coxeter diagram | x5/2o x5/2o () |

Elements | |

Cells | 10 pentagrammic prisms |

Faces | 25 squares, 10 pentagrams |

Edges | 50 |

Vertices | 25 |

Vertex figure | Tetragonal disphenoid, edge lengths (√5–1)/2 (bases) and √2 (sides) |

Measures (edge length 1) | |

Circumradius | |

Inradius | |

Hypervolume | |

Dichoral angles | Stip–4–stip: 90° |

Stip–5/2-stip: 36° | |

Central density | 4 |

Number of external pieces | 20 |

Level of complexity | 12 |

Related polytopes | |

Army | Pedip |

Regiment | Stardip |

Dual | Pentagrammic duotegum |

Conjugate | Pentagonal duoprism |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{2}≀S_{2}, order 200 |

Convex | No |

Nature | Tame |

The **pentagrammic duoprism** or **stardip**, also known as the **pentagrammic-pentagrammic duoprism**, the **5/2 duoprism** or the **5/2-5/2 duoprism**, is a noble uniform duoprism that consists of 10 pentagrammic prisms, with 4 meeting at each vertex.

## Gallery[edit | edit source]

## Vertex coordinates[edit | edit source]

The coordinates of a pentagrammic duoprism of edge length 1, centered at the origin, are given by:

## External links[edit | edit source]

- Bowers, Jonathan. "Category A: Duoprisms".

- Klitzing, Richard. "stardip".