# Pentagrammic-octagrammic duoprism

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

Rank | 4 |

Type | Uniform |

Notation | |

Bowers style acronym | Stastodip |

Coxeter diagram | x5/2o x8/3o () |

Elements | |

Cells | 8 pentagrammic prisms, 5 octagrammic prisms |

Faces | 40 squares, 8 pentagrams, 5 octagrams |

Edges | 40+40 |

Vertices | 40 |

Vertex figure | Digonal disphenoid, edge lengths (√5–1)/2 (base 1), √2–√2 (base 2), √2 (sides) |

Measures (edge length 1) | |

Circumradius | |

Dichoral angles | Stip–4–stop: 90° |

Stip–5/2–stip: 45° | |

Stop–8/3–stop: 36° | |

Central density | 6 |

Number of external pieces | 26 |

Level of complexity | 24 |

Related polytopes | |

Army | Semi-uniform podip |

Regiment | Stastodip |

Dual | Pentagrammic-octagrammic duotegum |

Conjugates | Pentagonal-octagonal duoprism, Pentagonal-octagrammic duoprism, Pentagrammic-octagonal duoprism |

Abstract & topological properties | |

Flag count | 960 |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | H_{2}×I_{2}(8), order 160 |

Convex | No |

Nature | Tame |

The **pentagrammic-octagrammic duoprism**, also known as **stastodip** or the **5/2-8/3 duoprism**, is a uniform duoprism that consists of 8 pentagrammic prisms and 5 octagrammic prisms, with 2 of each at each vertex.

## Vertex coordinates[edit | edit source]

The coordinates of a pentagrammic-octagrammic duoprism, centered at the origin and with unit edge length, are given by:

- ,
- ,
- ,
- ,
- ,
- .

## Representations[edit | edit source]

A pentagrammic-octagrammic duoprism has the following Coxeter diagrams:

- x5/2o x8/3o () (full symmetry)
- x4/3x x5/2o () (B
_{2}×H_{2}symmetry, octagrams as ditetragrams)

## External links[edit | edit source]

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

- Klitzing, Richard. "stastodip".