# Square antiditetragoltriate

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Square antiditetragoltriate | |
---|---|

Rank | 4 |

Type | Isogonal |

Space | Spherical |

Notation | |

Bowers style acronym | Squaddet |

Elements | |

Cells | 16+16 tetragonal disphenoids, 32 rectangular pyramids, 8 square prisms |

Faces | 64+64 isosceles triangles, 8 squares, 32 rectangles |

Edges | 32+32+64 |

Vertices | 32 |

Vertex figure | Biaugmented triangular prism |

Measures (based on same duoprisms as optimized square ditetragoltriate) | |

Edge lengths | Edges of smaller square (32): 1 |

Lacing edges (64): | |

Edges of larger square (32): 2 | |

Circumradius | |

Central density | 1 |

Related polytopes | |

Army | Squaddet |

Regiment | Squaddet |

Dual | Square antitetrambitriate |

Abstract & topological properties | |

Euler characteristic | 0 |

Orientable | Yes |

Properties | |

Symmetry | B_{2}≀S_{2}, order 128 |

Convex | Yes |

Nature | Tame |

The **square antiditetragoltriate** or **squaddet** is a convex isogonal polychoron and the second member of the antiditetragoltriate family. It consists of 8 square prisms, 32 rectangular pyramids, and 32 tetragonal disphenoids of two kinds. 2 square prisms, 4 tetragonal disphenoids, and 5 rectangular pyramids join at each vertex. However, it cannot be made scaliform.

It can be formed as the convex hull of 2 oppositely oriented semi-uniform square duoprisms where the larger square is more than times the edge length of the smaller one.