# Square tegum

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Square tegum | |
---|---|

Rank | 3 |

Type | Isotopic |

Notation | |

Bowers style acronym | Squit |

Coxeter diagram | oxo4ooo&#yt m2m4o () |

Elements | |

Faces | 8 isosceles triangles |

Edges | 4+8 |

Vertices | 2+4 |

Vertex figure | 4 rhombi, 2 squares |

Measures (edge lengths b (base), l (lacing)) | |

Volume | |

Central density | 1 |

Related polytopes | |

Army | Squit |

Regiment | Squit |

Dual | Square prism |

Conjugate | Square tegum |

Abstract & topological properties | |

Flag count | 48 |

Euler characteristic | 2 |

Surface | Sphere |

Orientable | Yes |

Genus | 0 |

Properties | |

Symmetry | B_{2}×A_{1}, order 16 |

Flag orbits | 3 |

Convex | Yes |

Nature | Tame |

The **square tegum** or **squit**, also called a **square bipyramid**, is a tegum with a square as the equatorial section. Generally, a square tegum has 8 identical isosceles triangles as faces. The version with equilateral triangles is the regular octahedron, while other variations can be constructed as duals of non-uniform square prisms.