# Octagonal diorthoprism

The **octagonal diorthoprism** or **odop**, also called **square-octagonal plus-prism** or **sople**, is a uniform compound polychoron. It is a compound of two square-octagonal duoprisms.

Octagonal diorthoprism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Odop |

Elements | |

Cells | 8+8 cube, 8 op |

Faces | 16+32+32 squares, 8 octagons |

Edges | 32+32+64 |

Vertices | 64 |

Vertex figure | Digonal disphenoid, edge lengths √2+√2 (base 1) and √2 (base 2 and sides) |

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Cube–4–cube: 135° |

Cube–4–op: 90° | |

Op–8–op: 90° | |

Related polytopes | |

Army | Sidpith |

Regiment | Sidpith subregiment |

Conjugate | Octagrammic diorthoprism |

Convex core | Tesseract |

Properties | |

Symmetry | B_{2}≀S_{2}, order 128 |

Nature | Tame |

It can be edge-inscribed into sidpith.

## Vertex coordinatesEdit

The vertices are the same as those of its hull, sidpith.

## External linksEdit

- Klitzing, Richard. "sople".