# Square disphenoid

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Square disphenoid | |
---|---|

Rank | 5 |

Type | Noble |

Notation | |

Bowers style acronym | Squadow |

Elements | |

Tera | 8 square scalenes |

Cells | 16 tetragonal disphenoids, 8 square pyramids |

Faces | 32 isosceles triangles, 2 squares |

Edges | 8+16 |

Vertices | 8 |

Vertex figure | Square scalene |

Measures (square edge length 1, height h) | |

Edge lengths | Edges of squares (8): 1 |

Lacing edges (16): | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Squadow |

Regiment | Squadow |

Dual | Square disphenoid |

Abstract & topological properties | |

Euler characteristic | 2 |

Orientable | Yes |

Properties | |

Symmetry | B_{2}▲S_{2}, order 128 |

Convex | Yes |

Nature | Tame |

The **square disphenoid**, **squadow**, or **digonal duoantifastegium** is a convex noble polyteron with 8 square scalenes as facets. 6 facets join at each vertex. However, it cannot be made scaliform, because the variant with equal edges becomes flat, making it a hexadecachoron instead. Along with the digonal tetragyroprism, it is one of the two known isogonal polytera with 8 vertices.

## External links[edit | edit source]

- Klitzing, Richard. "(4) - perp (4)".