# Octagrammic-decagrammic duoprism

The **octagrammic-decagrammic duoprism**, also known as **stostidedip** or the **8/3-10/3 duoprism**, is a uniform duoprism that consists of 10 octagrammic prisms and 8 decagrammic prisms, with 2 of each meeting at each vertex.

Octagrammic-decagrammic duoprism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Bowers style acronym | Stostidedip |

Info | |

Coxeter diagram | x8/3o x10/3o |

Symmetry | I2(8)×I2(10), order 320 |

Army | Semi-uniform odedip |

Regiment | Stostidedip |

Elements | |

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

Cells | 10 octagrammic prisms, 8 decagrammic prisms |

Faces | 80 squares, 10 octagrams, 8 decagrams |

Edges | 80+80 |

Vertices | 80 |

Measures (edge length 1) | |

Circumradius | √(5–√2–√5)/2 ≈ 0.82150 |

Hypervolume | 5√5–2√5(√2–1) ≈ 1.50472 |

Dichoral angles | Stop–8/3–stop: 72° |

Stiddip–10/3–stiddip: 45° | |

Stop–4–stiddip: 90° | |

Central density | 9 |

Related polytopes | |

Dual | Octagrammic-decagrammic duotegum |

Conjugates | Octagonal-decagonal duoprism, Octagonal-decagrammic duoprism, Octagrammic-decagonal duoprism |

Properties | |

Convex | No |

Orientable | Yes |

Nature | Tame |

## Vertex coordinatesEdit

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

- (±(√2–1)/2, ±1/2, ±1/2, ±√5–2√5/2),
- (±(√2–1)/2, ±1/2, ±(3–√5)/4, ±√(5–√5)/8),
- (±(√2–1)/2, ±1/2, ±(√5–1)/2, 0),
- (±1/2, ±(√2–1)/2, ±1/2, ±√5–2√5/2),
- (±1/2, ±(√2–1)/2, ±(3–√5)/4, ±√(5–√5)/8),
- (±1/2, ±(√2–1)/2, ±(√5–1)/2, 0).

## External linksEdit

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

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