# Square gyroprism

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Square gyroprism | |
---|---|

Rank | 3 |

Type | Isogonal |

Space | Spherical |

Notation | |

Bowers style acronym | Squigyp |

Coxeter diagram | s2s4s |

Elements | |

Faces | 8 scalene triangles, 2 squares |

Edges | 4+4+8 |

Vertices | 8 |

Vertex figure | Irregular tetragon |

Measures (edge length 1) | |

Central density | 1 |

Related polytopes | |

Army | Squigyp |

Regiment | Squigyp |

Dual | Square gyrotegum |

Conjugate | Square gyroprism |

Abstract & topological properties | |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | (B_{2}×A_{1})+, order 8 |

Convex | Yes |

Nature | Tame |

The **square gyroprism**, or **squigyp**, is a square-based gyroprism, a variant of the square antiprism where the bases are rotated by an angle other than 45°, and has 8 scalene triangles for its sides instead of isosceles triangles. It can be formed by alternating a ditetragonal prism.