# Square-octagrammic duoprism

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Square-octagrammic duoprism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Notation | |

Bowers style acronym | Sistodip |

Coxeter diagram | x4o x8/3o () |

Elements | |

Cells | 8 cubes, 4 octagrammic prisms |

Faces | 8+32 squares, 4 octagrams |

Edges | 32+32 |

Vertices | 32 |

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

Measures (edge length 1) | |

Circumradius | |

Hypervolume | |

Dichoral angles | Stop–8/3–stop: 90° |

Cube–4–stop: 90° | |

Cube–4–cube: 45° | |

Height | 1 |

Central density | 3 |

Number of external pieces | 20 |

Level of complexity | 12 |

Related polytopes | |

Army | Semi-uniform sodip |

Regiment | Sistodip |

Dual | Square-octagrammic duotegum |

Conjugate | Square-octagonal duoprism |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | B_{2}×I_{2}(8), order 128 |

Convex | No |

Nature | Tame |

The **square-octagrammic duoprism**, also known as **sistodip** or the **4-8/3 duoprism**, is a uniform duoprism that consists of 8 cubes and 4 octagrammic prisms, with 2 of each at each vertex.

The square-octagrammic duoprism can be vertex-inscribed into the great tesseractitesseractihexadecachoron.

## Vertex coordinates[edit | edit source]

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

## Representations[edit | edit source]

A square-octagrammic duoprism has the following Coxeter diagrams:

- x4o x8/3o (full symmetry)
- x x x8/3o () (I
_{2}(8)×A_{1}×A_{1}symmetry, octagrammic prismatic prism)

## External links[edit | edit source]

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

- Klitzing, Richard. "sistodip".