# Square-decagrammic duoprism

(Redirected from 10/3-4 duoprism)

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Square-decagrammic duoprism | |
---|---|

Rank | 4 |

Type | Uniform |

Space | Spherical |

Bowers style acronym | Sistadedip |

Info | |

Coxeter diagram | x4o x10/3o |

Symmetry | BC2×I2(10), order 160 |

Army | Semi-uniform squadedip |

Regiment | Sistadedip |

Elements | |

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

Cells | 10 cubes, 4 decagrammic prisms |

Faces | 10+40 squares, 4 decagrams |

Edges | 40+40 |

Vertices | 40 |

Measures (edge length 1) | |

Circumradius | √(4–√5)/2 ≈ 0.93913 |

Hypervolume | 5√5–2√5/2 ≈ 1.81636 |

Dichoral angles | Cube–4–cube: 72° |

Stiddip–10/3–stiddip: 90° | |

Cube–4–stiddip: 90° | |

Central density | 3 |

Related polytopes | |

Dual | Square-decagrammic duotegum |

Conjugate | Square-decagonal duoprism |

Properties | |

Convex | No |

Orientable | Yes |

Nature | Tame |

The **square-decagrammic duoprism**, also known as **sistadedip** or the **4-10/3 duoprism**, is a uniform duoprism that consists of 10 cubes and 4 decagrammic prisms, with 2 of each meeting at each vertex.

## Vertex coordinates[edit | edit source]

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

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

## External links[edit | edit source]

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

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